FractalsComplex Geometry, Patterns, and Scaling in Nature and Society Short Title: Fractals Publisher: World Scientific, Singapore ISSN: 0218-348X; 1793-6543/e Online: https://www.worldscientific.com/loi/fractals Comments: Journal; No longer indexed Documents Indexed: 1,687 Publications (1993–2023) References Indexed: 1,398 Publications with 41,541 References. all top 5 Latest Issues 31, No. 5 (2023) 31, No. 4 (2023) 31, No. 3 (2023) 31, No. 2 (2023) 31, No. 1 (2023) 30, No. 10 (2022) 30, No. 9 (2022) 30, No. 8 (2022) 30, No. 7 (2022) 30, No. 6 (2022) 30, No. 5 (2022) 30, No. 4 (2022) 30, No. 3 (2022) 30, No. 2 (2022) 30, No. 1 (2022) 29, No. 8 (2021) 29, No. 7 (2021) 29, No. 6 (2021) 29, No. 5 (2021) 29, No. 4 (2021) 29, No. 3 (2021) 29, No. 2 (2021) 29, No. 1 (2021) 28, No. 8 (2020) 28, No. 7 (2020) 28, No. 6 (2020) 28, No. 5 (2020) 28, No. 4 (2020) 28, No. 3 (2020) 28, No. 2 (2020) 28, No. 1 (2020) 27, No. 8 (2019) 27, No. 7 (2019) 27, No. 6 (2019) 27, No. 5 (2019) 27, No. 4 (2019) 27, No. 3 (2019) 27, No. 2 (2019) 27, No. 1 (2019) 26, No. 6 (2018) 26, No. 5 (2018) 26, No. 4 (2018) 26, No. 3 (2018) 26, No. 2 (2018) 26, No. 1 (2018) 25, No. 6 (2017) 25, No. 5 (2017) 25, No. 3 (2017) 25, No. 2 (2017) 25, No. 1 (2017) 24, No. 4 (2016) 24, No. 3 (2016) 24, No. 2 (2016) 24, No. 1 (2016) 23, No. 4 (2015) 23, No. 3 (2015) 23, No. 2 (2015) 22, No. 4 (2014) 22, No. 1-2 (2014) 21, No. 3-4 (2013) 21, No. 2 (2013) 21, No. 1 (2013) 20, No. 3-4 (2012) 20, No. 2 (2012) 20, No. 1 (2012) 19, No. 4 (2011) 19, No. 3 (2011) 19, No. 2 (2011) 19, No. 1 (2011) 18, No. 4 (2010) 18, No. 3 (2010) 18, No. 2 (2010) 18, No. 1 (2010) 17, No. 4 (2009) 17, No. 3 (2009) 17, No. 2 (2009) 17, No. 1 (2009) 16, No. 4 (2008) 16, No. 3 (2008) 16, No. 2 (2008) 16, No. 1 (2008) 15, No. 4 (2007) 15, No. 3 (2007) 15, No. 2 (2007) 15, No. 1 (2007) 14, No. 4 (2006) 14, No. 3 (2006) 14, No. 2 (2006) 14, No. 1 (2006) 13, No. 4 (2005) 13, No. 3 (2005) 13, No. 2 (2005) 13, No. 1 (2005) 12, No. 4 (2004) 12, No. 3 (2004) 12, No. 2 (2004) 12, No. 1 (2004) 11, No. 4 (2003) 11, No. 3 (2003) 11, No. 2 (2003) ...and 42 more Volumes all top 5 Authors 36 Abdeljawad, Thabet 34 Xi, Lifeng 26 Băleanu, Dumitru I. 25 Shah, Kamal 25 Wang, Kangle 21 Karaca, Yeliz 20 Chu, Yuming 20 Yu, Boming 19 Sooppy Nisar, Kottakkaran 19 Wang, Kang-Jia 17 Khan, Ilyas 17 Xiao, Boqi 16 Liang, Yongshun 14 Chand, Arya Kumar Bedabrata 14 Gómez-Aguilar, José Francisco 13 Dai, Meifeng 13 Rashid, Saima 13 Wang, Xingyuan 12 He, Ji-Huan 12 Khan, Aziz Ullah 12 Long, Gongbo 12 Su, Weiyi 11 Jafari, Hossein 11 Taqqu, Murad S. 11 Wang, Qin 11 Wu, Min 10 Akgül, Ali 10 Havlin, Shlomo 10 Navascués, María Antonia 10 Sabir, Zulqurnain 10 Wang, Guodong 10 Yao, Kui 9 Boulaaras, Salah Mahmoud 9 Elías-Zúñiga, Alex 9 Giona, Massimiliano 9 Jarad, Fahd 9 Raja, Muhammad Asif Zahoor 9 Riaz, Muhammad Bilal 9 Saeed, Tareq 9 Stanley, H. Eugene 9 ur Rahman, Mati 9 Xue, Yumei 9 Yao, Shaowen 9 Zeb, Anwar 8 Abdel-Aty, Abdel-Haleem 8 Amin, Rohul 8 Arfan, Muhammad 8 Atangana, Abdon 8 Bory Reyes, Juan 8 Du, Tingsong 8 He, Chun-Hui 8 Inc, Mustafa 8 Martínez-Romero, Oscar 8 Momani, Shaher M. 8 Olvera Trejo, Daniel 8 Palacios-Pineda, Luis Manuel 8 Shi, Feng 8 Strichartz, Robert Stephen 8 Takayasu, Hideki 8 Veneziano, Daniele 7 Ahmad, Hijaz 7 Alqudah, Manar A. 7 Alrabaiah, Hussam 7 Frame, Michael Lee 7 Huang, Chengdai 7 Jahanshahi, Hadi 7 Khalid, Aasma 7 Khan, Zareen Abdulhameed 7 Kumar, Sunil 7 Li, Wenxia 6 Agarwal, Praveen 6 Ahmad, Shabir 6 Brown, Christopher A. 6 Fan, Jiaqi 6 Hammouch, Zakia 6 Herrmann, Hans Jürgen 6 Jia, Qi 6 Jiang, Kan 6 Khan, Hasib 6 Khater, Mostafa M. A. 6 Kumam, Poom 6 Lei, Lei 6 Liu, Jiangen 6 Ma, Ying 6 Rochon, Dominic 6 Salahshour, Soheil 6 Shah, Zahir 6 Taylor, Tara. D. 6 Wang, Bo 6 Wang, Xiaoqian 6 Yang, Jiaojiao 6 Ye, Qianqian 6 Yusuf, Abdullahi A. 6 Zeng, Cheng 5 Abdalla, Mohamed 5 Ahmadian, Ali 5 Alassafi, Madini Obad 5 Alshomrani, Ali Saleh 5 Alzaid, Sara Salem 5 Buldyrev, Sergey V. ...and 2,760 more Authors all top 5 Fields 749 Measure and integration (28-XX) 275 Real functions (26-XX) 201 Ordinary differential equations (34-XX) 200 Dynamical systems and ergodic theory (37-XX) 197 Partial differential equations (35-XX) 181 Biology and other natural sciences (92-XX) 170 Numerical analysis (65-XX) 130 Fluid mechanics (76-XX) 129 Probability theory and stochastic processes (60-XX) 95 Computer science (68-XX) 95 Statistical mechanics, structure of matter (82-XX) 74 Combinatorics (05-XX) 65 Information and communication theory, circuits (94-XX) 59 Statistics (62-XX) 56 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Mechanics of deformable solids (74-XX) 48 Operator theory (47-XX) 48 Geophysics (86-XX) 42 Number theory (11-XX) 40 Systems theory; control (93-XX) 35 Approximations and expansions (41-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 31 General and overarching topics; collections (00-XX) 31 Operations research, mathematical programming (90-XX) 28 Classical thermodynamics, heat transfer (80-XX) 27 Optics, electromagnetic theory (78-XX) 22 Difference and functional equations (39-XX) 21 Integral equations (45-XX) 20 Special functions (33-XX) 18 Integral transforms, operational calculus (44-XX) 18 Mechanics of particles and systems (70-XX) 15 Functions of a complex variable (30-XX) 13 Quantum theory (81-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Convex and discrete geometry (52-XX) 9 General topology (54-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functional analysis (46-XX) 5 Astronomy and astrophysics (85-XX) 3 Mathematical logic and foundations (03-XX) 3 Nonassociative rings and algebras (17-XX) 3 Potential theory (31-XX) 3 Sequences, series, summability (40-XX) 3 Geometry (51-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,073 Publications have been cited 6,586 times in 4,007 Documents Cited by ▼ Year ▼ Estimators for long-range dependence: An empirical study. Zbl 0864.62061 Taqqu, Murad S.; Teverovsky, Vadim; Willinger, Walter 118 1995 The relationship between fractional calculus and fractals. Zbl 0877.28009 Tatom, Frank B. 102 1995 Distributed order fractional sub-diffusion. Zbl 1083.60066 Naber, Mark 91 2004 Bivariate fractal interpolation functions on grids. Zbl 1088.28502 Dalla, Leoni 63 2002 Calculus on fractal subsets of real line. I: Formulation. Zbl 1173.28005 Parvate, Abhay; Gangal, A. D. 63 2009 The study of bivariate fractal interpolation functions and creation of fractal interpolated surfaces. Zbl 0908.65005 Xie, Heping; Sun, Hongquan 54 1997 Average geodesic distance of Sierpinski gasket and Sierpinski networks. Zbl 1375.28020 Wang, Songjing; Yu, Zhouyu; Xi, Lifeng 48 2017 Hidden variable bivariate fractal interpolation surfaces. Zbl 1046.28004 Chand, A. K. B.; Kapoor, G. P. 46 2003 On Hadamard fractional calculus. Zbl 1371.26009 Ma, Li; Li, Changpin 43 2017 Certain integral inequalities considering generalized \(m\)-convexity on fractal sets and their applications. Zbl 1434.28018 Du, Tingsong; Wang, Hao; Khan, Muhammad Adil; Zhang, Yao 42 2019 On the Riemann-Liouville fractional calculus and some recent applications. Zbl 0868.26004 Nonnenmacher, Theo F.; Metzler, Ralf 41 1995 First-order network coherence and eigentime identity on the weighted Cayley networks. Zbl 1421.05083 Dai, Meifeng; Wang, Xiaoqian; Zong, Yue; Zou, Jiahui; Chen, Yufei; Su, Weiyi 41 2017 Simulation methods for linear fractional stable motion and FARIMA using the fast Fourier transform. Zbl 1083.65005 Stoev, Stilian; Taqqu, Murad S. 40 2004 Fractal bases of \(L_p\) spaces. Zbl 1251.28009 Navascués, M. A. 38 2012 Cooperative strategies in formation of complex bacterial patterns. Zbl 0869.92002 Ben-Jacob, Eshel; Shochet, Ofer; Cohen, Inon; Tenenbaum, Adam; Czirók, Andras; Vicsek, Tamas 37 1995 A generalized Mandelbrot set for bicomplex numbers. Zbl 0969.37021 Rochon, Dominic 35 2000 Calculus on fractal subsets of real line. II: Conjugacy with ordinary calculus. Zbl 1252.28005 Parvate, Abhay; Gangal, A. D. 35 2011 On fractional relaxation. Zbl 1140.82315 Hilfer, R. 35 2003 On the weighted fractional operators of a function with respect to another function. Zbl 1489.26006 Jarad, F.; Abdeljawad, T.; Shah, K. 35 2020 Newton’s-type integral inequalities via local fractional integrals. Zbl 1434.26052 Iftikhar, Sabah; Kumam, Poom; Erden, Samet 35 2020 Multifractal cascade dynamics and turbulent intermittency. Zbl 0927.76044 Schertzer, D.; Lovejoy, S.; Schmitt, F.; Chigirinskaya, Y.; Marsan, D. 32 1997 Hidden variable vector valued fractal interpolation functions. Zbl 1100.41011 Bouboulis, P.; Dalla, L. 32 2005 Calculus on fractal curves in \(\mathbb{R}^{n}\). Zbl 1217.28014 Parvate, Abhay; Satin, Seema; Gangal, A. D. 32 2011 Dimensions of self-affine fractals and multifractals generated by upper-triangular matrices. Zbl 1137.28302 Falconer, Kenneth; Miao, Jun 32 2007 Topological structure of self-similar sets. Zbl 1075.28005 Luo, Jun; Rao, Hui; Tan, Bo 31 2002 A fractal valued random iteration algorithm and fractal hierarchy. Zbl 1304.28004 Barnsley, Michael; Hutchinson, John; Stenflo, Örjan 31 2005 Box dimensions of {\(\alpha\)}-fractal functions. Zbl 1354.28002 Akhtar, Md. Nasim; Prasad, M. Guru Prem; Navascués, M. A. 29 2016 Some further extensions considering discrete proportional fractional operators. Zbl 1495.26021 Rashid, Saima; Sultana, Sobia; Karaca, Yeliz; Khalid, Aasma; Chu, Yu-Ming 29 2022 Parameter-varying artificial potential field control of virtual coupling system with nonlinear dynamics. Zbl 1485.93023 Cao, Yuan; Wen, Jiakun; Hobiny, Aatef; Li, Peng; Wen, Tao 29 2022 Average geodesic distance of Sierpinski carpet. Zbl 1432.28015 Zhao, Luming; Wang, Songjing; Xi, Lifeng 29 2017 \(1/f\) noise in a traffic model. Zbl 0906.90072 Takayasu, Misako; Takayasu, Hideki 28 1993 Analysis of fractional differential equations with multi-orders. Zbl 1176.34008 Deng, Weihua; Li, Changpin; Guo, Qian 28 2007 Piecewise optimal fractional reproducing kernel solution and convergence analysis for the Atangana-Baleanu-Caputo model of the Lienard’s equation. Zbl 07468589 Momani, Shaher; Arqub, Omar Abu; Maayah, Banan 28 2020 The reproducing kernel algorithm for numerical solution of Van der Pol damping model in view of the Atangana-Baleanu fractional approach. Zbl 07468592 Momani, Shaher; Maayah, Banan; Arqub, Omar Abu 28 2020 On the dimension of self-similar sets. Zbl 1088.28504 Simon, Károly; Solomyak, Boris 27 2002 Numerical solution of traveling waves in chemical kinetics: time-fractional fishers equations. Zbl 07507535 Wang, Fuzhang; Khan, Muhammad Nawaz; Ahmad, Imtiaz; Ahmad, Hijaz; Abu-Zinadah, Hanaa; Chu, Yu-Ming 27 2022 Exact solutions for a class of fractal time random walks. Zbl 0881.60066 Hilfer, R. 25 1995 Analysis of fractal-fractional malaria transmission model. Zbl 1482.92097 Gómez-Aguilar, J. F.; Córdova-Fraga, T.; Abdeljawad, Thabet; Khan, Aziz; Khan, Hasib 25 2020 Foundations of fractional dynamics. Zbl 0870.58041 Hilfer, R. 24 1995 Variational principle and approximate solution for the generalized Burgers-Huxley equation with fractal derivative. Zbl 1482.35008 Wang, Kang-Jia 24 2021 Dimension analysis of continuous functions with unbounded variation. Zbl 1371.28012 Wang, Jun; Yao, Kui 24 2017 A type of fractal interpolation functions and their fractional calculus. Zbl 1351.28016 Liang, Yong-Shun; Zhang, Qi 24 2016 Vibration spectra of finitely ramifield, symmetric fractals. Zbl 1160.28302 Bajorin, N.; Chen, T.; Dagan, A.; Emmons, C.; Hussein, M.; Khalil, M.; Mody, P.; Steinhurst, B.; Teplyaev, A. 23 2008 Fractal oscillation and its frequency-amplitude property. Zbl 1489.34014 He, Ji-Huan; Kou, Shuai-Jia; He, Chun-Hui; Zhang, Zuo-Wei; Gepreel, Khaled A. 23 2021 The multifractal dimension functions of homogeneous Moran measure. Zbl 1165.28005 Xiao, Jiaqing; Wu, Min 23 2008 Two-scale fractal theory for the population dynamics. Zbl 1481.92098 Anjum, Naveed; He, Chun-Hui; He, Ji-Huan 22 2021 The calculus of bivariate fractal interpolation surfaces. Zbl 1486.28006 Chandra, Subhash; Abbas, Syed 22 2021 Variational principle and approximate solution for the fractal generalized Benjamin-Bona-Mahony-Burgers equation in fluid mechanics. Zbl 1482.35009 Wang, Kang-Jia; Wang, Guo-Dong 22 2021 A new nonlinear fractal interpolation function. Zbl 1432.41001 Ri, Songil 22 2017 Normal families of bicomplex holomorphic functions. Zbl 1230.30032 Charak, K. S.; Rochon, D.; Sharma, N. 21 2009 Modifications at large distances from fractional and fractal arguments. Zbl 1196.28014 El-Nabulsi, Rami Ahmad 21 2010 A new perspective to study the third-order modified KdV equation on fractal set. Zbl 1445.28012 Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Cui, Ping 20 2020 New generalizations in the sense of the weighted non-singular fractional integral operator. Zbl 1489.26008 Rashid, Saima; Hammouch, Zakia; Baleanu, Dumitru; Chu, Yu-Ming 20 2020 Iterative method applied to the fractional nonlinear systems arising in thermoelasticity with Mittag-Leffler kernel. Zbl 07468622 Gao, Wei; Veeresha, P.; Prakasha, D. G.; Senel, Bilgin; Baskonus, Haci Mehmet 20 2020 Average distance of self-similar fractal trees. Zbl 1432.28007 Li, Tingting; Jiang, Kan; Xi, Lifeng 20 2018 Spectral analysis for weighted iterated triangulations of graphs. Zbl 1432.35058 Chen, Yufei; Dai, Meifeng; Wang, Xiaoqian; Sun, Yu; Su, Weiyi 20 2018 Information fractal dimension of mass function. Zbl 1512.28003 Qiang, Chenhui; Deng, Yong; Cheong, Kang Hao 20 2022 The Hosoya index of graphs formed by a fractal graph. Zbl 1434.05039 Liu, Jia-bao; Zhao, Jing; Min, Jie; Cao, Jinde 20 2019 A technique in the topology of connected self-similar tiles. Zbl 1304.28009 Ngai, Sze-Man; Tang, Tai-Man 19 2004 Path properties of the linear multifractional stable motion. Zbl 1304.28010 Stoev, Stilian; Taqqu, Murad S. 19 2005 Nonextensive thermostatics and fractals. Zbl 0870.58098 Tsallis, Constantino 19 1995 Fractal image compression. Zbl 0903.68211 Fisher, Yuval 19 1994 Analysis of \(\mathbb{C}\)-plane fractal images from \(z \leftarrow z^{\alpha} + c\) for \((\alpha < 0)\). Zbl 1211.37059 Wang, Xingyuan; Liu, Xiangdong; Zhu, Weiyong; Gu, Shusheng 19 2000 Variational principles for fractal Whitham-Broer-Kaup equations in shallow water. Zbl 1498.76012 Wang, Kang-Jia; Wang, Kang-Le 19 2021 On analysis of fractional order mathematical model of hepatitis B using Atangana-Baleanu Caputo (ABC) derivative. Zbl 1486.92219 Din, Anwarud; Li, Yongjin; Khan, Faiz Muhammad; Khan, Zia Ullah; Liu, Peijiang 19 2022 Numerical solution of distributed order integro-differential equations. Zbl 1505.65324 Zhang, Anqi; Ganji, Roghayeh Moallem; Jafari, Hossein; Ncube, Mahluli Naisbitt; Agamalieva, Latifa 19 2022 A remark on Wang’s fractal variational principle. Zbl 1434.35267 Wang, Kang-Le; He, Chun-Hui 19 2019 Fractal geometry of financial time series. Zbl 0869.62073 Evertsz, Carl J. G. 18 1995 An analysis of U.S. stock price behavior using wavelets. Zbl 0877.90027 Ramsey, James B.; Usikov, Daniel; Zaslavsky, George M. 18 1995 Multifractal cross-correlation analysis based on statistical moments. Zbl 1272.28013 Wang, Jing; Shang, Pengjian; Ge, Weijie 18 2012 Cantor-type sets in hyperbolic numbers. Zbl 1357.28008 Balankin, A. S.; Bory-Reyes, J.; Luna-Elizarrarás, M. E.; Shapiro, M. 18 2016 Analysis of mixed Weyl-Marchaud fractional derivative and box dimensions. Zbl 1491.28003 Chandra, Subhash; Abbas, Syed 18 2021 Central limit theorem for the log-regression wavelet estimation of the memory parameter in the Gaussian semi-parametric context. Zbl 1141.62073 Moulines, E.; Roueff, F.; Taqqu, Murad S. 18 2007 Some local fractional integral inequalities for generalized preinvex functions and applications to numerical quadrature. Zbl 1434.26015 Sun, Wenbing 18 2019 Eccentric distance sum of Sierpiński gasket and Sierpiński network. Zbl 1433.28009 Chen, Jin; He, Long; Wang, Qin 18 2019 Fractal approaches in signal processing. Zbl 0867.94005 Lévy-Véhel, Jacques 17 1995 Lipschitz equivalence of McMullen sets. Zbl 1290.28012 Li, Boming; Li, Wenxia; Miao, Jun Jie 17 2013 A fractal model for capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media. Zbl 1500.76091 Xiao, Boqi; Huang, Qiwen; Chen, Hanxin; Chen, Xubing; Long, Gongbo 17 2021 On the Bullen-type inequalities via generalized fractional integrals and their applications. Zbl 1484.26023 Du, Tingsong; Luo, Chunyan; Cao, Zhijie 17 2021 Low frequency property of a fractal vibration model for a concrete beam. Zbl 1482.74083 He, Chun-Hui; Liu, Chao; He, Ji-Huan; Gepreel, Khaled A. 17 2021 K-iterated function system. Zbl 1190.28004 Sahu, D. R.; Chakraborty, Anindita; Dubey, R. P. 17 2010 Image compression using affine fractal interpolation on rectangular lattices. Zbl 1158.68051 Drakopoulos, V.; Bouboulis, P.; Theodoridis, S. 17 2006 Progress on estimation of fractal dimensions of fractional calculus of continuous functions. Zbl 1434.26010 Liang, Yong-Shun 17 2019 On fractal-fractional waterborne disease model: a study on theoretical and numerical aspects of solutions via simulations. Zbl 1520.92068 Khan, Hasib; Alzabut, Jehad; Shah, Anwar; He, Zai-Yin; Etemad, Sina; Rezapour, Shahram; Zada, Akbar 17 2023 Analysis, synthesis, and estimation of fractal-rate stochastic point processes. Zbl 0907.62093 Thurner, Stefan; Lowen, Steven B.; Feurstein, Markus C.; Heneghan, Conor; Feichtinger, Hans G.; Teich, Malvin C. 16 1997 Analysis on fractals in fuzzy metric spaces. Zbl 1231.26030 Easwaramoorthy, D.; Uthayakumar, R. 16 2011 Existence results and stability criteria for ABC-fuzzy-Volterra integro-differential equation. Zbl 1482.45005 Khan, Hasib; Gomez-Aguilar, J. F.; Abdeljawad, Thabet; Khan, Aziz 16 2020 Fractal N/MEMS: from pull-in instability to pull-in stability. Zbl 1481.78002 Tian, Dan; Ain, Qura-Tul; Anjum, Naveed; He, Chun-Hui; Cheng, Bin 16 2021 Approximate endpoint solutions for a class of fractional \(q\)-differential inclusions by computational results. Zbl 07468611 Aydogan, S. M.; Aguilar, J. F. Gómez; Baleanu, D.; Rezapour, Sh.; Samei, M. E. 16 2020 A novel perspective for the fractal Schrödinger equation. Zbl 1482.35011 Wang, Kang-Le 16 2021 Comparison theorems for Caputo-Hadamard fractional differential equations. Zbl 1433.34012 Ma, Li 16 2019 Estimation and simulation of fractal stochastic point processes. Zbl 0881.60044 Lowen, Steven B.; Teich, Malvin C. 15 1995 On a generalized Fatou-Julia theorem in multicomplex spaces. Zbl 1177.30068 Garant-Pelletier, V.; Rochon, D. 15 2009 Construction and analysis of a special one-dimensional continuous function. Zbl 1371.28011 Wang, J.; Yao, Kui 15 2017 A fractal-Monte Carlo approach to model oil and water two-phase seepage in low-permeability reservoirs with rough surfaces. Zbl 1500.76088 Su, Haibo; Zhang, Yidan; Xiao, Boqi; Huang, Xiaoming; Yu, Boming 15 2021 A new fractal transform frequency formulation for fractal nonlinear oscillators. Zbl 1492.34014 Wang, Kang-Le 15 2021 Symmetry analysis, analytical solutions and conservation laws of a generalized KdV-Burgers-Kuramoto equation and its fractional version. Zbl 1482.35027 Wang, Gangwei 15 2021 Fractal interpolation functions on post critically finite self-similar sets. Zbl 1196.28019 Ruan, Huo-Jun 15 2010 Exact traveling-wave solutions for one-dimensional modified Korteweg-de Vries equation defined on Cantor sets. Zbl 1433.35445 Gao, Feng; Yang, Xiao-Jun; Ju, Yang 15 2019 A fractal model for water flow through unsaturated porous rocks. Zbl 1434.74085 Xiao, Boqi; Zhang, Xian; Wang, Wei; Long, Gongbo; Chen, Hanxin; Kang, Hao; Ren, Wen 15 2018 On fractal-fractional waterborne disease model: a study on theoretical and numerical aspects of solutions via simulations. Zbl 1520.92068 Khan, Hasib; Alzabut, Jehad; Shah, Anwar; He, Zai-Yin; Etemad, Sina; Rezapour, Shahram; Zada, Akbar 17 2023 Investigation of the time fractional generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation with single-power law nonlinearity. Zbl 1529.35397 Liu, Jian-Gen; Zhang, Yu-Feng; Wang, Jing-Jing 8 2023 New results on continuity by order of derivative for conformable parabolic equations. Zbl 1521.35193 Tuan, Nguyen Huy; Nguyen, Van Tien; O’Regan, Donal; Can, Nguyen Huu; Nguyen, Van Thinh 5 2023 \(n\)-soliton, breather, lump solutions and diverse traveling wave solutions of the fractional \((2+1)\)-Dimensional Boussinesq equation. Zbl 1521.35142 Wang, Kang-Jia; Liu, Jing-Hua; Si, Jing; Shi, Feng; Wang, Guo-Dong 5 2023 Dynamics in a fractional order predator-prey model Involving Michaelis-Menten-type functional response and both unequal delays. Zbl 1522.34109 Li, Peiluan; Gao, Rong; Xu, Changjin; Lu, Yuejing; Shang, Youlin 4 2023 Fractal dimension variation of continuous functions under certain operations. Zbl 1532.28018 Yu, Binyan; Liang, Yongshun 4 2023 Milne-type fractal integral inequalities for generalized \(m\)-convex mapping. Zbl 1532.26017 al-Sa’di, Sa’ud; Bibi, Maria; Seol, Youngsoo; Muddassar, Muhammad 3 2023 New fractal soliton solutions for the coupled fractional Klein-Gordon equation with \(\beta\)-fractional derivative. Zbl 1518.35651 Wang, Kangle 3 2023 Construction of fractal soliton solutions for the fractional evolution equations with conformable derivative. Zbl 1521.35162 Wang, Kangle 3 2023 The dynamics of HIV/AIDS model with fractal-fractional Caputo derivative. Zbl 1520.34049 Ullah, Saif; Altanji, Mohamed; Khan, Muhammad Altaf; Alshaheri, Ahmed; Sumelka, Wojciech 3 2023 Simpson-like inequalities for twice differentiable \((s, P)\)-convex mappings involving with AB-fractional integrals and their applications. Zbl 1532.26047 Yuan, Xiaoman; Xu, Lei; Du, Tingsong 3 2023 Application of Hosoya polynomial to solve a class of time-fractional diffusion equations. Zbl 1521.35187 Jafari, Hossein; Ganji, Roghayeh Moallem; Narsale, Sonali Mandar; Kgarose, Maluti; Nguyen, Van Thinh 3 2023 A novel collective algorithm using cubic uniform spline and finite difference approaches to solving fractional diffusion singular wave model through damping-reaction forces. Zbl 07726771 Yao, Shao-Wen; Arqub, Omar Abu; Tayebi, Soumia; Osman, M. S.; Mahmoud, W.; Inc, Mustafa; Alsulami, Hamed 3 2023 The Simpson-type integral inequalities involving twice local fractional differentiable generalized \((s, P)\)-convexity and their applications. Zbl 1532.26050 Zhou, Yunxiu; Du, Tingsong 3 2023 Analysis of the conformable temporal-fractional Swift-Hohenberg equation using a novel computational technique. Zbl 1534.35426 Khan, Aziz; Liaqat, Muhammad Imran; Alqudah, Manar A.; Abdeljawad, Thabet 2 2023 Investigation of financial bubble mathematical model under fractal-fractional Caputo derivative. Zbl 1521.91346 Li, Bo; Zhang, Tongxin; Zhang, Chao 2 2023 Existence and stability results for coupled system of fractional differential equations Involving AB-Caputo derivative. Zbl 1520.34006 Mehmood, Nayyar; Abbas, Ahsan; Akgül, Ali; Abdeljawad, Thabet; Alqudah, Manar A. 2 2023 Adapted homotopy perturbation method with Shehu transform for solving conformable fractional nonlinear partial differential equations. Zbl 1518.35634 Liaqat, Muhammad Imran; Khan, Aziz; Alqudah, Manar A.; Abdeljawad, Thabet 2 2023 Totally new soliton phenomena in the fractional Zoomeron model for shallow water. Zbl 1521.35164 Wang, Kang-Le 2 2023 A novel numerical method for solving fuzzy variable-order differential equations with Mittag-Leffler kernels. Zbl 07726765 Jafari, Hossein; Ganji, Roghayeh Moallem; Ganji, Davood Domiri; Hammouch, Zakia; Gasimov, Yusif S. 2 2023 Semi-analytical view of time-fractional PDEs with proportional delays pertaining to index and Mittag-Leffler memory interacting with hybrid transforms. Zbl 1522.35563 Shi, Lei; Rashid, Saima; Sultana, Sobia; Khalid, Aasma; Agarwal, Praveen; Osman, Mohamed S. 2 2023 On efficient fractional Caputo-type simultaneous scheme for finding all roots of polynomial equations with biomedical engineering applications. Zbl 07726775 Shams, Mudassir; Kausar, Nasreen; Samaniego, Cuauhtémoc; Agarwal, Praveen; Ahmed, Shams Forruque; Momani, Shaher 2 2023 Fractional order geminivirus impression in Capsicum annuum model with Mittag-Leffler kernel. Zbl 1533.92260 Sawangtong, Panumart; Logeswari, K.; Ravichandran, C.; Nisar, Kottakkaran Sooppy; Vijayaraj, V. 1 2023 Simulations and analysis of COVID-19 as a fractional model with different kernels. Zbl 1520.92083 Yao, Shao-Wen; Farman, Muhammad; Akgül, Ali; Nisar, Kottakkaran Sooppy; Amin, Maryam; Saleem, Muhammad Umer; Inc, Mustafa 1 2023 Chaotic behavior of financial dynamical system with generalized fractional operator. Zbl 1529.91073 Alzaid, Sara S.; Kumar, Ajay; Kumar, Sunil; Alkahtani, Badr Saad T. 1 2023 A new fractal modified Benjamin-Bona-Mahony equation: its generalized variational principle and abundant exact solutions. Zbl 1529.35452 Wang, Kang-Jia; Si, Jing; Wang, Guo Dong; Shi, Feng 1 2023 Approximation orders of a real number in a family of beta-dynamical systems. Zbl 1532.11108 Wang, Xiaoqiong; Li, Rao 1 2023 Spectral analysis for weighted level-4 Sierpiński graphs and its applications. Zbl 1519.05110 Zhu, Xingchao; Zhu, Zhiyong 1 2023 Local geometry of self-similar sets: typical balls, tangent measures and asymptotic spectra. Zbl 1532.28012 Morán, Manuel; Llorente, Marta; Mera, María Eugenia 1 2023 New solitary wave solutions for the fractional Jaulent-Miodek hierarchy model. Zbl 1529.35453 Wei, Chun Fu 1 2023 Stress-dependent models for permeability and porosity of fractured rock based on fractal theory. Zbl 07726806 Miao, Tongjun; Chen, Aimin; Li, Zun; Liu, Daping; Yu, Boming 1 2023 Hausdorff dimension of a family of networks. Zbl 1532.28004 Zeng, Qingcheng; Xi, Lifeng 1 2023 Numerical assessment of the brain tumor growth model via Fibonacci and Haar wavelets. Zbl 1519.92047 Nayied, Naied Ahmad; Shah, Firdous Ahmad; Nisar, Kottakkaran Sooppy; Khanday, Mukhtar Ahmad; Habeeb, Saima 1 2023 Coupled fractional Wigner distribution with applications to LFM signals. Zbl 1517.94031 Teali, Aajaz A.; Shah, Firdous A.; Tantary, Azhar Y.; Nisar, Kottakkaran S. 1 2023 Existence results for multi-term fractional differential equations with nonlocal boundary conditions involving Atangana-Baleanu derivative. Zbl 1534.34006 Abbas, Ahsan; Mehmood, Nayyar; Akgül, Ali; Abdeljawad, Thabet; Alqudah, Manar A. 1 2023 Numerical analysis of fractional-order Emden-Fowler equations using modified variational iteration method. Zbl 1518.35655 Zhang, Ri; Shah, Nehad Ali; El-Zahar, Essam R.; Akgül, Ali; Chung, Jae Dong 1 2023 Characterizations of the inversion formula of the continuous Bessel wavelet transform of distributions in \(H_\mu^\prime(\mathbb{R}^+)\). Zbl 1527.46027 Maurya, Jay Singh; Upadhyay, Santosh Kumar 1 2023 Numerical analysis of some fractional order differential equations via Legendre spectral method. Zbl 1520.65051 Khan, Aziz; Naz, Hafsa; Sarwar, Muhammad; Shah, Kamal; Alqudah, Manar A.; Abdeljawad, Thabet 1 2023 Existence and solution of third-order integro-differential equations via Haar wavelet method. Zbl 1522.65251 Amin, Rohul; Shah, Kamal; Awais, Muhammad; Mahariq, Ibrahim; Nisar, Kottakkaran Sooppy; Sumelka, Wojciech 1 2023 Extension of Haar wavelet techniques for Mittag-Leffler type fractional Fredholm integro-differential equations. Zbl 1519.65062 Reunsumrit, Jiraporn; Shah, Kamal; Khan, Aziz; Amin, Rohul; Ahmad, Israr; Sitthiwirattham, Thanin 1 2023 Numerical solutions of nonlinear delay integro-differential equations using Haar wavelet collocation method. Zbl 07700485 Hadi, Fazli; Amin, Rohul; Khan, Ilyas; Alzahrani, J.; Nisar, K. S.; Al-Johani, Amnah S.; Eldin, Elsayed Tag 1 2023 Non-differentiable exact solutions of the local fractional Zakharov-Kuznetsov equation on the Cantor sets. Zbl 1534.35434 Wang, Kang-Jia; Shi, Feng; Si, Jing; Liu, Jing-Hua; Wang, Guo-Dong 1 2023 Some Bullen-type inequalities for generalized fractional integrals. Zbl 1532.26049 Zhao, Dafang; Ali, Muhammad Aamir; Budak, Hüseyin; He, Zai-Yin 1 2023 Robust implicit difference approach for the time-fractional Kuramoto-Sivashinsky equation with the non-smooth solution. Zbl 07726763 Han, Xiang-Lin; Guo, Tao; Nikan, Omid; Avazzadeh, Zakieh 1 2023 Terminal value problem for stochastic fractional equation within an operator with exponential kernel. Zbl 1521.35192 Phuong, Nguyen Duc; Hoan, Luu Vu Cam; Baleanu, Dumitru; Nguyen, Anh Tuan 1 2023 On fractional integrals and derivatives of a function with respect to another function. Zbl 1532.26004 Nieto, Juan J.; Alghanmi, Madeaha; Ahmad, Bashir; Alsaedi, Ahmed; Alharbi, Boshra 1 2023 Variational principle and solitary wave of the fractal fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave model. Zbl 1529.35410 Sun, Jianshe 1 2023 Construction of new affine and non-affine fractal interpolation functions through the Weyl-Marchaud derivative. Zbl 1532.28015 Priyanka, T. M. C.; Gowrisankar, A. 1 2023 Some further extensions considering discrete proportional fractional operators. Zbl 1495.26021 Rashid, Saima; Sultana, Sobia; Karaca, Yeliz; Khalid, Aasma; Chu, Yu-Ming 29 2022 Parameter-varying artificial potential field control of virtual coupling system with nonlinear dynamics. Zbl 1485.93023 Cao, Yuan; Wen, Jiakun; Hobiny, Aatef; Li, Peng; Wen, Tao 29 2022 Numerical solution of traveling waves in chemical kinetics: time-fractional fishers equations. Zbl 07507535 Wang, Fuzhang; Khan, Muhammad Nawaz; Ahmad, Imtiaz; Ahmad, Hijaz; Abu-Zinadah, Hanaa; Chu, Yu-Ming 27 2022 Information fractal dimension of mass function. Zbl 1512.28003 Qiang, Chenhui; Deng, Yong; Cheong, Kang Hao 20 2022 On analysis of fractional order mathematical model of hepatitis B using Atangana-Baleanu Caputo (ABC) derivative. Zbl 1486.92219 Din, Anwarud; Li, Yongjin; Khan, Faiz Muhammad; Khan, Zia Ullah; Liu, Peijiang 19 2022 Numerical solution of distributed order integro-differential equations. Zbl 1505.65324 Zhang, Anqi; Ganji, Roghayeh Moallem; Jafari, Hossein; Ncube, Mahluli Naisbitt; Agamalieva, Latifa 19 2022 Novel approach for fractal nonlinear oscillators with discontinuities by Fourier series. Zbl 1502.34026 Wang, Kang-Le 14 2022 New developments in weighted \(n\)-fold type inequalities via discrete generalized \(\hat{\hbar}\)-proportional fractional operators. Zbl 1537.26005 Rashid, Saima; Abouelmagd, Elbaz I.; Sultana, Sobia; Chu, Yu-Ming 11 2022 Some recent developments on dynamical \(\hbar\)-discrete fractional type inequalities in the frame of nonsingular and nonlocal kernels. Zbl 1487.39011 Rashid, Saima; Abouelmagd, Elbaz I.; Khalid, Aasma; Farooq, Fozia Bashir; Chu, Yu-Ming 11 2022 Hadamard fractional calculus on time scales. Zbl 1515.26032 Song, Ting-Ting; Wu, Guo-Cheng; Wei, Jia-Li 11 2022 Caputo type fractional operator applied to hepatitis B system. Zbl 1492.34051 Din, Anwarud; Li, Yongjin; Yusuf, Abdullahi; Ali, Aliyu Isa 10 2022 Fractal variational principles for two different types of fractal plasma models with variable coefficients. Zbl 1493.35133 Wang, Kang-Le; Wang, Hao 10 2022 A novel perspective to the local fractional bidirectional wave model on Cantor sets. Zbl 1502.78013 Wang, Kangle 10 2022 On an extension of the operator with Mittag-Leffler kernel. Zbl 1514.34008 Al-Refai, Mohammed; Baleanu, Dumitru 10 2022 Fractal solitary wave solutions for fractal nonlinear dispersive Boussinesq-like models. Zbl 1504.35390 Wang, Kangle 9 2022 Mathematical modeling and stability analysis of the dynamics of monkeypox via fractional-calculus. Zbl 1516.34078 Alharbi, Rabab; Jan, Rashid; Alyobi, Sultan; Altayeb, Yousif; Khan, Ziad 9 2022 Exact traveling wave solution for the fractal Riemann wave model Arising in ocean science. Zbl 1501.35118 Wang, Kangle 8 2022 A hybrid approach for synchronizing between two reaction-diffusion systems of integer- and fractional-order applied on certain chemical models. Zbl 1498.93696 Wang, Bo; Ouannas, Adel; Karaca, Yeliz; Xia, Wei-Feng; Jahanshahi, Hadi; Alkhateeb, Abdulhameed F.; Nour, Majid 8 2022 Jensen-Mercer inequality and related results in the fractal sense with applications. Zbl 1495.26026 Butt, Saad Ihsan; Yousaf, Saba; Ahmad, Hijaz; Nofal, Taher A. 7 2022 Existence results for a coupled system of nonlinear fractional \(q\)-integro-difference equations with \(q\)-integral-coupled boundary conditions. Zbl 1485.39008 Alsaedi, Ahmed; Al-Hutami, Hana; Ahmad, Bashir; Agarwal, Ravi P. 7 2022 Abundant exact traveling wave solutions to the local fractional \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation. Zbl 1491.35106 Wang, Kang-Jia; Wang, Guo-Dong; Shi, Feng 7 2022 Exact traveling wave solutions for the local fractional Kadomtsov-Petviashvili-Benjamin-Bona-Mahony model by variational perspective. Zbl 1507.35333 Wang, Kangle 7 2022 A novel variational approach to fractal Swift-Hohenberg model arising in fluid dynamics. Zbl 1501.35008 Wang, Kang-Le 7 2022 Impact of the same degenerate additive noise on a coupled system of fractional space diffusion equations. Zbl 1491.60105 Mohammed, Wael W.; Iqbal, Naveed 6 2022 Dynamics of crime transmission using fractional-order differential equations. Zbl 1502.34054 Bansal, Komal; Arora, Sugandha; Pritam, Kocherlakota Satya; Mathur, Trilok; Agarwal, Shivi 6 2022 A novel permeability model in damaged tree-like bifurcating networks considering the influence of roughness. Zbl 1496.28008 Liu, Zhenjie; Gao, Jun; Xiao, Boqi; Cao, Jiyin; Fang, Jing; Liang, Mingchao; Long, Gongbo 6 2022 A modified frequency-amplitude formulation for fractal vibration systems. Zbl 1507.74163 He, Chun-Hui; Liu, Chao 6 2022 Analyses of some structural properties on a class of hierarchical scale-free networks. Zbl 1502.90033 Liu, Jia-Bao; Bao, Yan; Zheng, Wu-Ting 6 2022 Bounded variation on the Sierpiński gasket. Zbl 1522.28012 Verma, S.; Sahu, A. 6 2022 Generalized variational principles and new abundant wave structures of the fractal coupled Boussinesq equation. Zbl 1501.35007 Wang, Kang-Jia; Wang, Guo-Dong; Shi, Feng; Zhu, Hong-Wei 6 2022 Computational study of fractional-order vector borne diseases model. Zbl 07578009 Bedi, Pallavi; Khan, Aziz; Kumar, Anoop; Abdeljawad, Thabet 6 2022 An improvement of the power-mean integral inequality in the frame of fractal space and certain related midpoint-type integral inequalities. Zbl 1502.26028 Yu, Shuhong; Mohammed, Pshtiwan Othman; Xu, Lei; Du, Tingsong 6 2022 A fractal modification of the unsteady Korteweg-de Vries model and its generalized fractal variational principle and diverse exact solutions. Zbl 1509.35247 Wang, Kang-Jia 6 2022 Investigation of integral boundary value problem with impulsive behavior involving non-singular derivative. Zbl 1515.34035 Shah, Kamal; Abdeljawad, Thabet; Ali, Arshad; Alqudah, Manar A. 6 2022 Analysis of time-fractional Kawahara equation under Mittag-Leffler power law. Zbl 1485.35403 Rahman, Mati Ur; Arfan, Muhammad; Deebani, Wejdan; Kumam, Poom; Shah, Zahir 5 2022 Fractal Hadamard-Mercer-type inequalities with applications. Zbl 1494.26037 Butt, Saad Ihsan; Yousaf, Saba; Younas, Muhammad; Ahmad, Hijaz; Yao, Shao-Wen 5 2022 Chaotic behavior of Bhalekar-Gejji dynamical system under Atangana-Baleanu fractal fractional operator. Zbl 1493.37091 Ahmad, Shabir; Ullah, Aman; Akgül, Ali; Abdeljawad, Thabet 5 2022 Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems. Zbl 07490674 Abdelhakem, Mohamed; Abdelhamied, Dina; Alshehri, Maryam G.; El-Kady, Mamdouh 5 2022 Strange nonchaotic attractors in a periodically forced piecewise linear system with noise. Zbl 1493.37040 Li, Gaolei; Yue, Yuan; Grebogi, Celso; Li, Denghui; Xie, Jianhua 5 2022 Research on the nonlinear vibration of carbon nanotube embedded in fractal medium. Zbl 1496.74069 Wang, Kang-Jia 5 2022 New results of fractal fractional model of drilling nanoliquids with clay nanoparticles. Zbl 1507.35184 Khan, Ilyas; Alqahtani, Aisha M.; Khan, Arshad; Khan, Dolat; Ganie, Abdul Hamid; Ali, Gohar 5 2022 On the generalized weighted Caputo-type differential operator. Zbl 1495.26011 Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Geng, Lu-Lu 5 2022 A fractal model of power-law fluid through charged fibrous porous media by using the fractional-derivative theory. Zbl 1494.76090 Xiao, Boqi; Li, Yupeng; Long, Gongbo 5 2022 Fractal dimension of multivariate \(\alpha\)-fractal functions and approximation aspects. Zbl 1525.28007 Pandey, Megha; Agrawal, Vishal; Som, Tanmoy 5 2022 A nonlocal modeling for solving time fractional diffusion equation arising in fluid mechanics. Zbl 1497.65204 Hosseini, Vahid Reza; Rezazadeh, Arezou; Zheng, Hui; Zou, Wennan 5 2022 Computational analysis of fractional order imperfect testing infection disease model. Zbl 1504.34114 Khan, Zareen A.; Khan, Aziz; Abdeljawad, Thabet; Khan, Hasib 5 2022 A new \((3+1)\)-Dimensional KdV equation and mkdv equation with their corresponding fractional forms. Zbl 1504.35456 Wang, Gangwei; Wazwaz, Abdul-Majid 5 2022 Bäcklund transformation and diverse exact explicit solutions of the fractal combined KdV-mKdV equation. Zbl 1509.35270 Wang, Kang-Jia 5 2022 Novel scheme for the fractal-fractional short water wave model with unsmooth boundaries. Zbl 1509.35250 Wang, Kangle 5 2022 The numerical strategy of tempered fractional derivative in European double barrier option. Zbl 1484.91521 Xie, Chengxuan; Xia, Xiaoxiao; Aghdam, Yones Esmaeelzade; Farnam, Behnaz; Jafari, Hossein; Wang, Shuchun 4 2022 Well-posedness and regularity of Caputo-Hadamard time-fractional diffusion equations. Zbl 07490691 Yang, Zhiwei; Zheng, Xiangcheng; Wang, Hong 4 2022 Solitary waves of the fractal regularized long-wave equation traveling along an unsmooth boundary. Zbl 1507.35205 Wang, Kang-Jia; Li, Geng; Liu, Jing-Hua; Wang, Guo-Dong 4 2022 ...and 973 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,165 Authors 60 Chand, Arya Kumar Bedabrata 47 Băleanu, Dumitru I. 45 Xi, Lifeng 42 Navascués, María Antonia 39 Abdeljawad, Thabet 36 Su, Weiyi 33 Chu, Yuming 33 Viswanathan, Puthan Veedu 32 Budak, Hüseyin 31 Golmankhaneh, Alireza Khalili 31 Wang, Kangle 29 Wang, Kang-Jia 27 Liang, Yongshun 27 Wang, Xingyuan 26 Dai, Meifeng 25 Rashid, Saima 23 He, Ji-Huan 23 Verma, Saurabh 22 Boulaaras, Salah Mahmoud 22 Selmi, Bilel 22 Shah, Kamal 21 Rezapour, Shahram 20 Du, Tingsong 20 Jarad, Fahd 20 Strichartz, Robert Stephen 19 El-Nabulsi, Rami Ahmad 19 Gowrisankar, A. 19 Vijender, Nallapu 17 Ding, Feng 17 Etemad, Sina 17 Hezenci, Fatih 16 Akgül, Ali 16 Taqqu, Murad S. 16 Teplyaev, Alexander 16 Xiao, Fuyuan 16 Yang, Xiao-Jun 16 Yao, Kui 15 Liu, Fawang 15 Veeresha, Pundikala 15 Wang, Guodong 15 Xiao, Boqi 15 Yu, Boming 14 Alzabut, Jehad O. 14 Deng, Yong 14 Raja, Muhammad Asif Zahoor 14 Sabir, Zulqurnain 14 Wang, Qin 13 Abdalla, Mohamed 13 Drakopoulos, Vasileios 13 Fraser, Jonathan MacDonald 13 Huang, Chengdai 13 Liu, Jiangen 13 Liu, Shutang 13 Ma, Chunsheng 13 Ngai, Sze-Man 13 Sun, Yu 13 Wu, Min 13 Xue, Yumei 12 Cao, Jinde 12 El-Dib, Yusry O. 12 Jørgensen, Palle E. T. 12 Karaca, Yeliz 12 Li, Changpin 12 Ri, Songil 12 Rochon, Dominic 11 Ahmad, Bashir 11 Bárány, Balázs 11 Didier, Gustavo 11 Guefaifia, Rafik 11 Inc, Mustafa 11 Khater, Mostafa M. A. 11 Leonenko, Nikolai N. 11 Long, Gongbo 11 Ma, Li 11 Miculescu, Radu 11 Sooppy Nisar, Kottakkaran 11 Wu, Guocheng 10 Abdo, Mohammed Salem 10 Agarwal, Praveen 10 Ahmad, Hijaz 10 Bory Reyes, Juan 10 Fan, Jiaqi 10 Gdawiec, Krzysztof 10 Jiang, Kan 10 Ju, Tingting 10 Loridant, Benoit 10 Machado, José António Tenreiro 10 Priyadarshi, Amit 10 Priyanka, T. M. C. 10 Ruan, Huo-Jun 10 Salahshour, Soheil 10 Samei, Mohammad Esmael 10 Thuswaldner, Jörg Maximilian 10 Turner, Ian William 10 Vijayakumar, Velusamy 10 Ye, Qianqian 10 Zada, Akbar 9 Balankin, Alexander S. 9 He, Chun-Hui 9 Jha, Sangita ...and 6,065 more Authors all top 5 Cited in 557 Journals 676 Fractals 203 Chaos, Solitons and Fractals 145 Physica A 107 Mathematical Methods in the Applied Sciences 83 Journal of Mathematical Analysis and Applications 64 Communications in Nonlinear Science and Numerical Simulation 61 Advances in Difference Equations 56 Applied Mathematics and Computation 48 Chaos 47 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 43 Journal of Computational and Applied Mathematics 42 Journal of Function Spaces 41 Fractional Calculus & Applied Analysis 41 Qualitative Theory of Dynamical Systems 38 International Journal of Applied and Computational Mathematics 35 Journal of Applied Mathematics and Computing 34 Computational and Applied Mathematics 34 Nonlinear Dynamics 33 Mathematics and Computers in Simulation 32 Journal of Statistical Physics 29 The Journal of Analysis 28 Computers & Mathematics with Applications 27 Physics Letters. A 27 Journal of Inequalities and Applications 27 Advances in Mathematical Physics 25 Physica D 24 Journal of Statistical Mechanics: Theory and Experiment 23 Boundary Value Problems 22 Demonstratio Mathematica 22 AIMS Mathematics 21 Mathematical Problems in Engineering 20 Information Sciences 20 Mediterranean Journal of Mathematics 19 Journal of Mathematical Physics 19 Numerical Algorithms 19 Journal of Fractal Geometry 18 Discrete Dynamics in Nature and Society 17 International Journal of Computer Mathematics 17 Abstract and Applied Analysis 17 Communications in Theoretical Physics 16 Journal of Mathematics 15 Results in Mathematics 15 Journal of Mathematical Chemistry 15 Discrete and Continuous Dynamical Systems. Series S 15 International Journal of Biomathematics 14 Numerical Methods for Partial Differential Equations 14 Applied Mathematics Letters 14 Stochastic Processes and their Applications 14 Bernoulli 14 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 13 Nonlinearity 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Statistics & Probability Letters 13 Applied Numerical Mathematics 13 Turkish Journal of Mathematics 13 Engineering Analysis with Boundary Elements 13 Journal of Applied Analysis and Computation 12 Advances in Mathematics 12 Proceedings of the American Mathematical Society 12 Transactions of the American Mathematical Society 12 Applied Mathematical Modelling 11 International Journal of Modern Physics B 11 Ergodic Theory and Dynamical Systems 11 International Journal of Robust and Nonlinear Control 11 Advances in Applied Clifford Algebras 11 Complex Analysis and Operator Theory 11 Journal of Physics A: Mathematical and Theoretical 10 International Journal of Theoretical Physics 10 Journal of Computational Physics 10 Journal of Statistical Computation and Simulation 10 Mathematical Biosciences and Engineering 10 GEM - International Journal on Geomathematics 10 Mathematical Sciences 9 Mathematische Nachrichten 9 Topology and its Applications 9 Acta Applicandae Mathematicae 9 Computational Statistics and Data Analysis 9 International Journal of Nonlinear Sciences and Numerical Simulation 9 International Journal of Modern Physics C 9 Journal of Theoretical Biology 8 Rocky Mountain Journal of Mathematics 8 Journal of Time Series Analysis 8 Mathematical and Computer Modelling 8 International Journal of Adaptive Control and Signal Processing 8 Communications in Statistics. Theory and Methods 8 Complexity 8 The Journal of Fourier Analysis and Applications 8 Nonlinear Analysis. Modelling and Control 8 International Journal of Geometric Methods in Modern Physics 7 Acta Mechanica 7 Bulletin of the Australian Mathematical Society 7 International Journal of Heat and Mass Transfer 7 Journal of Fluid Mechanics 7 Stochastic Analysis and Applications 7 Journal of Theoretical Probability 7 Forum Mathematicum 7 Indagationes Mathematicae. New Series 7 Journal of Nonlinear Mathematical Physics 7 Journal of Mathematical Inequalities 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM ...and 457 more Journals all top 5 Cited in 62 Fields 1,218 Measure and integration (28-XX) 790 Real functions (26-XX) 652 Partial differential equations (35-XX) 624 Ordinary differential equations (34-XX) 518 Numerical analysis (65-XX) 443 Dynamical systems and ergodic theory (37-XX) 396 Probability theory and stochastic processes (60-XX) 329 Biology and other natural sciences (92-XX) 266 Statistics (62-XX) 211 Statistical mechanics, structure of matter (82-XX) 199 Operator theory (47-XX) 194 Fluid mechanics (76-XX) 174 Approximations and expansions (41-XX) 161 Combinatorics (05-XX) 156 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 145 Computer science (68-XX) 132 Systems theory; control (93-XX) 125 Harmonic analysis on Euclidean spaces (42-XX) 120 Information and communication theory, circuits (94-XX) 117 Number theory (11-XX) 91 Special functions (33-XX) 89 Mechanics of deformable solids (74-XX) 81 Operations research, mathematical programming (90-XX) 77 Difference and functional equations (39-XX) 74 Functions of a complex variable (30-XX) 73 Integral equations (45-XX) 70 General topology (54-XX) 68 Quantum theory (81-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 59 Integral transforms, operational calculus (44-XX) 59 Functional analysis (46-XX) 53 Geophysics (86-XX) 47 Classical thermodynamics, heat transfer (80-XX) 43 Convex and discrete geometry (52-XX) 40 Potential theory (31-XX) 37 Optics, electromagnetic theory (78-XX) 32 Mechanics of particles and systems (70-XX) 31 Global analysis, analysis on manifolds (58-XX) 27 Relativity and gravitational theory (83-XX) 20 Geometry (51-XX) 19 Differential geometry (53-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 14 General and overarching topics; collections (00-XX) 12 Mathematical logic and foundations (03-XX) 12 Group theory and generalizations (20-XX) 10 Algebraic geometry (14-XX) 10 Several complex variables and analytic spaces (32-XX) 8 Topological groups, Lie groups (22-XX) 7 Abstract harmonic analysis (43-XX) 7 Astronomy and astrophysics (85-XX) 6 Nonassociative rings and algebras (17-XX) 5 History and biography (01-XX) 5 Sequences, series, summability (40-XX) 5 Manifolds and cell complexes (57-XX) 5 Mathematics education (97-XX) 4 Commutative algebra (13-XX) 4 Category theory; homological algebra (18-XX) 4 Algebraic topology (55-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) Citations by Year