Advances in Difference Equations Short Title: Adv. Difference Equ. Publisher: Springer International Publishing (SpringerOpen), Cham ISSN: 1687-1847/e Online: https://link.springer.com/journal/13662/volumes-and-issueshttps://advancesindifferenceequations.springeropen.comhttp://www.emis.de/journals/HOA/ADE/ Successor: Advances in Continuous and Discrete Models Comments: No longer indexed; Published electronic only as of 2004. This journal is available open access. Documents Indexed: 4,710 Publications (2004–2021) References Indexed: 4,661 Publications with 134,734 References. all top 5 Latest Issues 2021 (2021) 2020 (2020) 2019 (2019) 2018 (2018) 2017 (2017) 2016 (2016) 2015 (2015) 2014 (2014) 2013 (2013) 2012 (2012) 2011 (2011) 2010 (2010) 2009 (2009) 2008 (2008) 2007 (2007) 2006 (2006) 2005, No. 3 (2005) 2005, No. 2 (2005) 2005, No. 1 (2005) 2004, No. 4 (2004) 2004, No. 3 (2004) 2004, No. 2 (2004) 2004, No. 1 (2004) all top 5 Authors 190 Băleanu, Dumitru I. 93 Abdeljawad, Thabet 74 Rezapour, Shahram 73 Agarwal, Ravi P. 73 Kim, Taekyun 62 Ntouyas, Sotiris K. 54 Ahmad, Bashir 53 Kim, Dae San 51 Park, Choonkil 50 Sooppy Nisar, Kottakkaran 43 Al-saedi, Ahmed Eid Salem 38 Li, Tongxing 37 Tariboon, Jessada 36 Jarad, Fahd 36 O’Regan, Donal 35 Chu, Yuming 35 Etemad, Sina 34 Alzabut, Jehad O. 32 Sun, Shurong 29 Stević, Stevo 28 Shah, Kamal 27 Kiliçman, Adem 27 Zhong, Shou-Ming 26 Agarwal, Praveen 26 Han, Zhenlai 25 Cao, Jinde 25 Kumam, Poom 22 Araci, Serkan 22 Ma, Ruyun 21 Al-Omari, Shrideh Khalaf Qasem 20 Abbas, Muhammad Mohsin 20 Diblík, Josef 20 Zhang, Zizhen 19 Ibrahim, Rabha Waell 19 Šmarda, Zdeněk 19 Teng, Zhi-dong 18 de la Sen, Manuel 18 Rashid, Saima 18 Wang, Jinrong 17 Aydi, Hassen Mohamed 17 Chen, Fengde 17 Samei, Mohammad Esmael 17 Zhao, Kaihong 16 Benchohra, Mouffak 16 Jiang, Wei 16 Liu, Lishan 16 Mursaleen, Mohammad 16 Rajchakit, Grienggrai 16 Rim, Seog-Hoon 15 Khan, Aziz 15 Khan, Hasib 15 Saadati, Reza 15 Sitthiwirattham, Thanin 15 Xie, Xiangdong 15 Zada, Akbar 14 Abdo, Mohammed Salem 14 Atangana, Abdon 14 Kwon, JongKyum 14 Moaaz, Osama 14 Srivastava, Hari Mohan 14 Sun, Taixiang 14 Xu, Hongyan 13 Chatzarakis, George E. 13 Jiao, Jianjun 13 Mohammadi, Hakimeh 13 Nieto Roig, Juan Jose 12 Eshaghi Gordji, Madjid 12 Kulenović, Mustafa R. S. 12 Lee, Hyunseok 12 Li, Fang 12 Li, Yongkun 12 Liu, Wenbin 12 Wu, Yonghong 12 Xu, Changjin 12 Zhou, Yong 11 Alotaibi, Abdullah M. 11 Din, Qamar 11 Dolgiĭ, Dmitriĭ Viktorovich 11 Feng, Meiqiang 11 Karapınar, Erdal 11 Lee, Manseob 11 Liang, Jin 11 Luc, Nguyen Hoang 11 Mohiuddine, Syed Abdul 11 Momani, Shaher M. 11 Rattanakul, Chontita 10 Afshari, Hojjat 10 Bazighifan, Omar 10 Bhrawy, Ali Hassan 10 Chen, Haibo 10 Fulga, Andreea 10 Meng, Fanwei 10 Mohanty, Ranjan Kumar 10 Pečarić, Josip 10 Wang, Guotao 10 Wu, Ailong 10 Zhai, Chengbo 9 Alquran, Marwan Taiseer 9 Bohner, Martin J. 9 Cuevas, Claudio ...and 6,170 more Authors all top 5 Fields 2,165 Ordinary differential equations (34-XX) 1,047 Real functions (26-XX) 860 Difference and functional equations (39-XX) 852 Biology and other natural sciences (92-XX) 707 Partial differential equations (35-XX) 573 Dynamical systems and ergodic theory (37-XX) 496 Numerical analysis (65-XX) 445 Operator theory (47-XX) 437 Systems theory; control (93-XX) 272 Probability theory and stochastic processes (60-XX) 231 Number theory (11-XX) 201 Integral equations (45-XX) 167 Special functions (33-XX) 129 Combinatorics (05-XX) 128 Functions of a complex variable (30-XX) 85 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 84 Functional analysis (46-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 67 General topology (54-XX) 59 Fluid mechanics (76-XX) 58 Integral transforms, operational calculus (44-XX) 46 Approximations and expansions (41-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 39 Sequences, series, summability (40-XX) 39 Computer science (68-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 32 Global analysis, analysis on manifolds (58-XX) 28 Information and communication theory, circuits (94-XX) 27 Mechanics of deformable solids (74-XX) 23 Operations research, mathematical programming (90-XX) 22 Mechanics of particles and systems (70-XX) 21 Statistics (62-XX) 18 Measure and integration (28-XX) 15 Abstract harmonic analysis (43-XX) 11 Quantum theory (81-XX) 10 Differential geometry (53-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Mathematical logic and foundations (03-XX) 6 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Group theory and generalizations (20-XX) 4 Potential theory (31-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Convex and discrete geometry (52-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 3,328 Publications have been cited 20,129 times in 12,214 Documents Cited by ▼ Year ▼ A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative. Zbl 1182.34103Agarwal, Ravi P.; Belmekki, Mohammed; Benchohra, Mouffak 148 2009 Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru 142 2012 On the generalized Apostol-type Frobenius-Euler polynomials. Zbl 1365.05013Kurt, Burak; Simsek, Yilmaz 116 2013 Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods. Zbl 1098.39001Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal 107 2005 On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations. Zbl 1422.34019Aydogan, S. Melike; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 94 2017 On a new class of fractional operators. Zbl 1422.26004Jarad, Fahd; Uğurlu, Ekin; Abdeljawad, Thabet; Baleanu, Dumitru 90 2017 On Caputo modification of the Hadamard fractional derivatives. Zbl 1343.26002Gambo, Yusuf Y.; Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet 89 2014 Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211Abdeljawad, Thabet; Baleanu, Dumitru 84 2016 Quantum calculus on finite intervals and applications to impulsive difference equations. Zbl 1391.39017Tariboon, Jessada; Ntouyas, Sotiris K. 83 2013 New existence results for nonlinear fractional differential equations with three-point integral boundary conditions. Zbl 1204.34005Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed 81 2011 On a fractional order Ebola epidemic model. Zbl 1344.92150Area, Ivan; Batarfi, Hanan; Losada, Jorge; Nieto, Juan J.; Shammakh, Wafa; Torres, Ángela 76 2015 A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative. Zbl 1422.34219Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 73 2017 Forced oscillation of nonlinear fractional differential equations with damping term. Zbl 1350.34016Yang, Jichen; Liu, Anping; Liu, Ting 72 2015 Some results on difference polynomials sharing values. Zbl 1291.30210Liu, Yong; Qi, Xiaoguang; Yi, Hongxun 70 2012 Unique solutions for a new coupled system of fractional differential equations. Zbl 1445.34030Zhai, Chengbo; Jiang, Ruiting 67 2018 Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations. Zbl 1422.35169Qiu, Meilan; Mei, Liquan; Yang, Ganshang 67 2017 Multiple periodic solutions for a discrete time model of plankton allelopathy. Zbl 1134.39008Zhang, Jianbao; Fang, Hui 58 2006 An optimized Crank-Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation. Zbl 1458.65118Zhou, Yanjie; Luo, Zhendong 58 2019 The twisted Daehee numbers and polynomials. Zbl 1417.11019Park, Jin-Woo; Rim, Seog-Hoon; Kwon, Jongkyum 58 2014 Dynamical behaviors of a food-chain model with stage structure and time delays. Zbl 1446.37083Huang, Chuangxia; Qiao, Yuncheng; Huang, Lihong; Agarwal, Ravi P. 57 2018 A new fractional model for giving up smoking dynamics. Zbl 1422.34062Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru 57 2017 Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D. 56 2012 Extinction for a discrete competition system with the effect of toxic substances. Zbl 1418.92147Yue, Qin 56 2016 Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048Abdeljawad, Thabet; Baleanu, Dumitru 55 2017 Existence results for nonlocal boundary value problems of nonlinear fractional \(q\)-difference equations. Zbl 1388.39003Ahmad, Bashir; Ntouyas, Sotiris K.; Purnaras, Ioannis K. 54 2012 Dual identities in fractional difference calculus within Riemann. Zbl 1369.39015Abdeljawad, Thabet 54 2013 Hyers-Ulam stability of the linear recurrence with constant coefficients. Zbl 1095.39024Popa, Dorian 51 2005 Existence results for nonlinear fractional difference equation. Zbl 1207.39012Chen, Fulai; Luo, Xiannan; Zhou, Yong 50 2011 New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations. Zbl 1346.39012Tariboon, Jessada; Ntouyas, Sotiris; Agarwal, Praveen 50 2015 The extended fractional Caputo-Fabrizio derivative of order \(0\leq \sigma <1\) on \(C_{\mathbb{R}}[0,1]\) and the existence of solutions for two higher-order series-type differential equations. Zbl 1446.34009Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 50 2018 A shifted Legendre spectral method for fractional-order multi-point boundary value problems. Zbl 1280.65074Bhrawy, Ali H.; Al-Shomrani, Mohammed M. 49 2012 Optimal harvesting control and dynamics of two-species stochastic model with delays. Zbl 1422.34237Liu, Lidan; Meng, Xinzhu 49 2017 Riemann zeta fractional derivative-functional equation and link with primes. Zbl 1459.26011Guariglia, Emanuel 48 2019 A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel. Zbl 1448.65062Baleanu, D.; Shiri, B.; Srivastava, H. M.; Al Qurashi, M. 46 2018 Basic properties of Sobolev’s spaces on time scales. Zbl 1139.39022Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R. 45 2006 On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru 45 2018 Solving a system of fractional partial differential equations arising in the model of HIV infection of \(\mathrm{CD4}^{+}\) cells and attractor one-dimensional Keller-Segel equations. Zbl 1380.92026Atangana, Abdon; Alabaraoye, Ernestine 45 2013 Fractional operators with exponential kernels and a Lyapunov type inequality. Zbl 1444.26003Abdeljawad, Thabet 43 2017 Connections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces. Zbl 1419.39038Li, Tongxing; Zada, Akbar 42 2016 A generalized Lyapunov-type inequality in the frame of conformable derivatives. Zbl 1444.34045Abdeljawad, Thabet; Alzabut, Jehad; Jarad, Fahd 42 2017 Existence and nonexistence of positive solutions for the fractional coupled system involving generalized \(p\)-Laplacian. Zbl 1444.34019Wang, Ying; Jiang, Jiqiang 42 2017 A Jacobi operational matrix for solving a fuzzy linear fractional differential equation. Zbl 1380.34004Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru 42 2013 Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative. Zbl 1482.37090Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram 42 2020 Multiple solutions of a \(p\)-Laplacian model involving a fractional derivative. Zbl 1390.34059Liu, Xiping; Jia, Mei; Ge, Weigao 41 2013 Existence of periodic and subharmonic solutions for second-order \(p\)-Laplacian difference equations. Zbl 1148.39002Chen, Peng; Fang, Hui 39 2007 On a three step crisis integro-differential equation. Zbl 1459.45005Baleanu, Dumitru; Ghafarnezhad, Khadijeh; Rezapour, Shahram 39 2019 Existence results for a fraction hybrid differential inclusion with Caputo-Hadamard type fractional derivative. Zbl 1459.34042Samei, Mohammad Esmael; Hedayati, Vahid; Rezapour, Shahram 39 2019 Statistical approximation by Kantorovich-type discrete \(q\)-beta operators. Zbl 1391.41008Mishra, Vishnu; Khatri, Kejal; Mishra, Lakshmi 39 2013 On a generalized time-varying SEIR epidemic model with mixed point and distributed time-varying delays and combined regular and impulsive vaccination controls. Zbl 1219.34104De La Sen, M.; Agarwal, Ravi P.; Ibeas, A.; Alonso-Quesada, S. 38 2010 On type of periodicity and ergodicity to a class of fractional order differential equations. Zbl 1194.34007Agarwal, Ravi P.; De Andrade, Bruno; Cuevas, Claudio 38 2010 Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions. Zbl 1343.34021Rong, Ji; Bai, Chuanzhi 38 2015 Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws. Zbl 1445.35298Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa 38 2018 Positive solutions of fractional differential equations involving the Riemann-Stieltjes integral boundary condition. Zbl 1446.34040Song, Qilin; Bai, Zhanbing 38 2018 Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations. Zbl 1459.35383Shaikh, Amjad; Tassaddiq, Asifa; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru 37 2019 Comparison and validation of integer and fractional order ultracapacitor models. Zbl 1268.34091Dzieliński, Andrzej; Sarwas, Grzegorz; Sierociuk, Dominik 37 2011 A coupled system of fractional differential equations with nonlocal integral boundary conditions. Zbl 1350.34010Ntouyas, Sotiris K.; Obaid, Mustafa 37 2012 On the asymptotic behavior of fourth-order functional differential equations. Zbl 1422.34212Moaaz, Osama; Elabbasy, Elmetwally M.; Bazighifan, Omar 37 2017 Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel. Zbl 1419.35208Gómez-Aguilar, J. F.; Torres, L.; Yépez-Martínez, H.; Baleanu, D.; Reyes, J. M.; Sosa, I. O. 36 2016 Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials. Zbl 1444.34091Akbari Kojabad, Eisa; Rezapour, Shahram 36 2017 Positive solutions for a class of fractional 3-point boundary value problems at resonance. Zbl 1422.34065Wang, Yongqing; Liu, Lishan 36 2017 Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis. Zbl 1422.92159Miao, Anqi; Wang, Xinyang; Zhang, Tongqian; Wang, Wei; Sampath Aruna Pradeep, BG 36 2017 Fractional differential equations for the generalized Mittag-Leffler function. Zbl 1445.34007Agarwal, Praveen; Al-Mdallal, Qasem; Cho, Yeol Je; Jain, Shilpi 35 2018 Global dynamics of a delayed chemostat model with harvest by impulsive flocculant input. Zbl 1422.92139Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu 35 2017 An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems. Zbl 1423.49018Doha, Eid; Bhrawy, Ali; Baleanu, Dumitru; Ezz-Eldien, Samer; Hafez, Ramy 34 2015 On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions. Zbl 1350.34003Alsaedi, Ahmed; Ntouyas, Sotiris; Agarwal, Ravi; Ahmad, Bashir 34 2015 On the existence of solutions of a three steps crisis integro-differential equation. Zbl 1445.45011Baleanu, Dumitru; Ghafarnezhad, Khadijeh; Rezapour, Shahram; Shabibi, Mehdi 34 2018 New aspects of poor nutrition in the life cycle within the fractional calculus. Zbl 1446.92194Baleanu, Dumitru; Jajarmi, Amin; Bonyah, Ebenezer; Hajipour, Mojtaba 34 2018 On the solutions of two special types of Riccati difference equation via Fibonacci numbers. Zbl 1390.39020Tollu, Durhasan T.; Yazlik, Yasin; Taskara, Necati 33 2013 Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation. Zbl 1422.65144Atangana, Abdon; Alqahtani, Rubayyi T. 33 2016 Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters. Zbl 1417.34062Wang, Ying; Liu, Lishan; Wu, Yonghong 33 2014 Effect of cellular reservoirs and delays on the global dynamics of HIV. Zbl 1445.92270Elaiw, A. M.; Elnahary, E. K.; Raezah, A. A. 32 2018 Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel. Zbl 1422.35165Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Torres-Jiménez, J.; Córdova-Fraga, T.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H. 32 2017 Dynamics of a fourth-order system of rational difference equations. Zbl 1377.39001Din, Q.; Qureshi, M. N.; Khan, A. 32 2012 On a nonlinear fractional differential equation on partially ordered metric spaces. Zbl 1380.34007Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram 32 2013 Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives. Zbl 1487.34028Matar, M. M.; Abbas, M. I.; Alzabut, J.; Kaabar, M. K. A.; Etemad, S.; Rezapour, S. 32 2021 On the difference equation \(x_{n+1}=ax_n-bx_n/(cx_n-dx_{n-1})\). Zbl 1139.39304Elabbasy, E. M.; El-Metwally, H.; Elsayed, E. M. 31 2006 Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition. Zbl 1444.34083Zada, Akbar; Ali, Sartaj; Li, Yongjin 31 2017 HIV/HCV coinfection model: a fractional-order perspective for the effect of the HIV viral load. Zbl 1445.92266Carvalho, Ana R. M.; Pinto, Carla M. A.; Baleanu, Dumitru 31 2018 Variational iteration method for fractional calculus – a universal approach by Laplace transform. Zbl 1365.34022Wu, Guo-Cheng; Baleanu, Dumitru 31 2013 Representation of solutions of linear discrete systems with constant coefficients and pure delay. Zbl 1139.39027Diblík, J.; Khusainov, D. Ya. 30 2006 Approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert space. Zbl 1343.60080Ahmed, Hamdy M. 30 2014 Stability of delayed HIV dynamics models with two latent reservoirs and immune impairment. Zbl 1448.92127Elaiw, A. M.; Raezah, A. A.; Azoz, S. A. 30 2018 Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator. Zbl 1380.35163Su, Wei-Hua; Yang, Xiao-Jun; Jafari, H.; Baleanu, Dumitru 30 2013 New applications of the variational iteration method – from differential equations to \(q\)-fractional difference equations. Zbl 1365.39006Wu, Guo-Cheng; Baleanu, Dumitru 30 2013 A semigroup-like property for discrete Mittag-Leffler functions. Zbl 1292.39001Abdeljawad, Thabet; Jarad, Fahd; Baleanu, Dumitru 29 2012 Boundary value problems for fractional differential equations with three-point fractional integral boundary conditions. Zbl 1293.34013Sudsutad, Weerawat; Tariboon, Jessada 29 2012 Application of stochastic inequalities to global analysis of a nonlinear stochastic SIRS epidemic model with saturated treatment function. Zbl 1445.92287Zhang, Shengqiang; Meng, Xinzhu; Wang, Xinzeng 29 2018 Existence and uniqueness of solutions for systems of fractional differential equations with Riemann-Stieltjes integral boundary condition. Zbl 1446.34021Zhang, Xinqiu; Liu, Lishan; Wu, Yonghong; Zou, Yumei 29 2018 Geometrical analysis and control optimization of a predator-prey model with multi state-dependent impulse. Zbl 1422.34094Wang, Jianmei; Cheng, Huidong; Meng, Xinzhu; Pradeep, B. G. Sampath Aruna 29 2017 Existence results for fractional \(q\)-difference equations with nonlocal \(q\)-integral boundary conditions. Zbl 1380.39011Zhao, Yulin; Chen, Haibo; Zhang, Qiming 29 2013 Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan 29 2016 On existence results for solutions of a coupled system of hybrid boundary value problems with hybrid conditions. Zbl 1422.34021Baleanu, Dumitru; Khan, Hasib; Jafari, Hossein; Khan, Rahmat Ali; Alipour, Mohsen 29 2015 Global dynamics of a state-dependent feedback control system. Zbl 1422.34093Tang, Sanyi; Pang, Wenhong; Cheke, Robert A.; Wu, Jianhong 29 2015 Fractional-order Chua’s system: discretization, bifurcation and chaos. Zbl 1391.39026Agarwal, Ravi P.; El-Sayed, Ahmed Ma; Salman, Sanaa M. 28 2013 Adaptive tracking control for a class of uncertain nonlinear systems with infinite number of actuator failures using neural networks. Zbl 1444.93014Lv, Wenshun; Wang, Fang 28 2017 Time-space fractional \((2+1)\) dimensional nonlinear Schrödinger equation for envelope gravity waves in baroclinic atmosphere and conservation laws as well as exact solutions. Zbl 1445.35281Fu, Chen; Lu, Chang Na; Yang, Hong Wei 28 2018 Global threshold dynamics of a stochastic epidemic model incorporating media coverage. Zbl 1448.92360Yang, Bin; Cai, Yongli; Wang, Kai; Wang, Weiming 28 2018 On fractional derivatives with generalized Mittag-Leffler kernels. Zbl 1448.33019Abdeljawad, Thabet; Baleanu, Dumitru 28 2018 Boundary value problems for hybrid differential equations with fractional order. Zbl 1422.34035Hilal, Khalid; Kajouni, Ahmed 28 2015 Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique. Zbl 1422.34016Akgül, Ali; Inc, Mustafa; Karatas, Esra; Baleanu, Dumitru 28 2015 Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives. Zbl 1487.34028Matar, M. M.; Abbas, M. I.; Alzabut, J.; Kaabar, M. K. A.; Etemad, S.; Rezapour, S. 32 2021 New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions. Zbl 1487.26060Ali, Muhammad Aamir; Abbas, Mujahid; Budak, Hüseyin; Agarwal, Praveen; Murtaza, Ghulam; Chu, Yu-Ming 8 2021 On fractional boundary value problems involving fractional derivatives with Mittag-Leffler kernel and nonlinear integral conditions. Zbl 1485.34014Abdo, Mohammed S.; Abdeljawad, Thabet; Ali, Saeed M.; Shah, Kamal 7 2021 The influence of an infectious disease on a prey-predator model equipped with a fractional-order derivative. Zbl 1485.92085Djilali, Salih; Ghanbari, Behzad 6 2021 Mathematical model of survival of fractional calculus, critics and their impact: how singular is our world? Zbl 1494.26006Atangana, Abdon 5 2021 Quantum Hermite-Hadamard-type inequalities for functions with convex absolute values of second \(q^b\)-derivatives. Zbl 1485.26029Ali, Muhammad Aamir; Budak, Hüseyin; Abbas, Mujahid; Chu, Yu-Ming 4 2021 Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative. Zbl 1485.92108Ahmad, Saeed; Ullah, Rafi; Baleanu, Dumitru 4 2021 An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations. Zbl 1487.65162Ali, Ihteram; Haq, Sirajul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru 4 2021 Some new exact solutions of \((3+1)\)-dimensional Burgers system via Lie symmetry analysis. Zbl 1487.35021Alimirzaluo, Elnaz; Nadjafikhah, Mehdi; Manafian, Jalil 4 2021 On nonlinear pantograph fractional differential equations with Atangana-Baleanu-Caputo derivative. Zbl 1487.34146Abdo, Mohammed S.; Abdeljawad, Thabet; Kucche, Kishor D.; Alqudah, Manar A.; Ali, Saeed M.; Jeelani, Mdi Begum 4 2021 Analysis of Atangana-Baleanu fractional-order SEAIR epidemic model with optimal control. Zbl 1494.92127Deressa, Chernet Tuge; Duressa, Gemechis File 4 2021 Oscillation of nonlinear third-order difference equations with mixed neutral terms. Zbl 1485.39020Alzabut, Jehad; Bohner, Martin; Grace, Said R. 3 2021 Fuzzy stochastic differential equations driven by fractional Brownian motion. Zbl 1485.60054Jafari, Hossein; Malinowski, Marek T.; Ebadi, M. J. 3 2021 Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables. Zbl 1485.26030Ali, Muhammad Aamir; Chu, Yu-Ming; Budak, Hüseyin; Akkurt, Abdullah; Yıldırım, Hüseyin; Zahid, Manzoor Ahmed 3 2021 Fundamental solutions for semidiscrete evolution equations via Banach algebras. Zbl 1485.35384González-Camus, Jorge; Lizama, Carlos; Miana, Pedro J. 3 2021 Stability analysis of five-grade Leishmania epidemic model with harmonic mean-type incidence rate. Zbl 1487.92045Khan, Karim; Zarin, Rahat; Khan, Amir; Yusuf, Abdullahi; Al-Shomrani, Mohammed; Ullah, Arif 3 2021 A fractional order mathematical model for COVID-19 dynamics with quarantine, isolation, and environmental viral load. Zbl 1494.92119Aba Oud, Mohammed A.; Ali, Aatif; Alrabaiah, Hussam; Ullah, Saif; Khan, Muhammad Altaf; Islam, Saeed 3 2021 A dynamic optimal control model for COVID-19 and cholera co-infection in Yemen. 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Zbl 1494.65065Abd El Salam, Mohamed A.; Ramadan, Mohamed A.; Nassar, Mahmoud A.; Agarwal, Praveen; Chu, Yu-Ming 1 2021 ...and 991 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,993 Authors 299 Băleanu, Dumitru I. 179 Abdeljawad, Thabet 142 Ntouyas, Sotiris K. 140 Agarwal, Ravi P. 131 Ahmad, Bashir 123 Kim, Taekyun 111 Rezapour, Shahram 103 O’Regan, Donal 100 Kim, Dae San 95 Tariboon, Jessada 93 Al-saedi, Ahmed Eid Salem 89 Shah, Kamal 76 Chu, Yuming 76 Li, Tongxing 75 Jarad, Fahd 73 Cao, Jinde 71 Wang, Jinrong 69 Sooppy Nisar, Kottakkaran 64 Zada, Akbar 62 Alzabut, Jehad O. 62 Park, Choonkil 57 Etemad, Sina 55 Rashid, Saima 54 Benchohra, Mouffak 53 Atangana, Abdon 53 de la Sen, Manuel 51 Nieto Roig, Juan Jose 50 Han, Zhenlai 48 Sun, Shurong 45 Diblík, Josef 45 Stević, Stevo 43 Khan, Aziz 43 Kumam, Poom 43 Srivastava, Hari Mohan 40 Araci, Serkan 40 Cui, Yujun 40 Liu, Lishan 39 Al-Omari, Shrideh Khalaf Qasem 39 Khan, Hasib 39 Samei, Mohammad Esmael 38 Abdo, Mohammed Salem 38 Bohner, Martin J. 38 Elaiw, Ahmed M. 38 Elsayed, Elsayed Mohammed 38 Ibrahim, Rabha Waell 38 Sitthiwirattham, Thanin 37 Agarwal, Praveen 37 Chatzarakis, George E. 36 Kiliçman, Adem 36 Xu, Jiafa 34 Shi, Haiping 34 Wu, Yonghong 33 Bhrawy, Ali Hassan 33 Gómez-Aguilar, José Francisco 32 Chen, Fengde 32 Grace, Said Rezk 32 Jiang, Daqing 32 Meng, Xinzhu 32 Salahshour, Soheil 30 Bai, Zhanbing 29 Inc, Mustafa 29 Šmarda, Zdeněk 29 Zhai, Chengbo 29 Zhong, Shou-Ming 28 Akgül, Ali 28 Kulenović, Mustafa R. S. 28 Lizama, Carlos 28 Mahmudov, Nazim Idrisoglu 28 Mursaleen, Mohammad 28 Yan, Zuomao 27 Cuevas, Claudio 27 Rahman, Gauhar 27 Wang, Guotao 26 Ahmadian, Ali 26 Khan, Rahmat Ali 26 Luca, Rodica 25 Budak, Hüseyin 25 Henderson, Johnny Lee 25 Moaaz, Osama 25 Noor, Muhammad Aslam 25 Singh, Jagdev 25 Wang, Chao 25 Xu, Changjin 25 Zhang, Zizhen 25 Zhao, Kaihong 25 Zhou, Yong 24 Abbas, Syed 24 Acikgoz, Mehmet 24 Din, Qamar 24 Eshaghi Gordji, Madjid 24 Farid, Ghulam 24 Jadlovská, Irena 24 Khan, Waseem Ahmad 24 Kumar, Devendra 24 Li, Yongkun 24 Mohiuddine, Syed Abdul 24 Pandey, Dwijendra Narain 24 Saadati, Reza 24 Zhang, Yuanbiao 23 Abbas, Said ...and 12,893 more Authors all top 5 Cited in 582 Journals 2,152 Advances in Difference Equations 403 Boundary Value Problems 401 Applied Mathematics and Computation 338 Chaos, Solitons and Fractals 326 Abstract and Applied Analysis 302 Journal of Inequalities and Applications 290 Discrete Dynamics in Nature and Society 286 Journal of Function Spaces 186 AIMS Mathematics 172 Journal of Applied Mathematics and Computing 165 Fractals 161 Physica A 156 Mathematical Problems in Engineering 149 International Journal of Applied and Computational Mathematics 144 Journal of Difference Equations and Applications 137 Computational and Applied Mathematics 134 Journal of Computational and Applied Mathematics 125 Journal of Mathematical Analysis and Applications 125 Filomat 123 Applied Mathematics Letters 116 Mediterranean Journal of Mathematics 113 Complexity 109 Journal of Nonlinear Science and Applications 108 Computers & Mathematics with Applications 95 Nonlinear Dynamics 93 Advances in Mathematical Physics 90 Mathematics and Computers in Simulation 89 Communications in Nonlinear Science and Numerical Simulation 88 Open Mathematics 87 Journal of Applied Analysis and Computation 81 Journal of the Franklin Institute 80 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 80 International Journal of Biomathematics 74 Journal of Mathematics 71 Discrete and Continuous Dynamical Systems. 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