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: Journal; No longer indexed; Published electronic only as of 2004. This journal is available open access. Documents Indexed: 4,709 Publications (2004–2021) References Indexed: 4,660 Publications with 134,733 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 O’Regan, Donal 35 Chu, Yuming 35 Etemad, Sina 35 Jarad, Fahd 34 Alzabut, Jehad O. 32 Agarwal, Praveen 32 Sun, Shurong 29 Stević, Stevo 29 Zhong, Shou-Ming 28 Shah, Kamal 27 Kiliçman, Adem 26 Han, Zhenlai 25 Cao, Jinde 25 Kumam, Poom 23 Jang, Lee-Chae 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 Li, Yongkun 17 Liu, Lishan 17 Samei, Mohammad Esmael 17 Zhao, Kaihong 16 Benchohra, Mouffak 16 Jiang, Wei 16 Mursaleen, Mohammad 16 Rajchakit, Grienggrai 16 Rim, Seog-Hoon 15 Khan, Aziz 15 Khan, Hasib 15 Li, Fang 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 Wu, Yonghong 14 Xu, Hongyan 13 Chatzarakis, George E. 13 Dolgiĭ, Dmitriĭ Viktorovich 13 Jiao, Jianjun 13 Mohammadi, Hakimeh 13 Nieto Roig, Juan Jose 12 Eshaghi Gordji, Madjid 12 Kulenović, Mustafa R. S. 12 Lee, Hyunseok 12 Liu, Wenbin 12 Xu, Changjin 12 Zhou, Yong 11 Alotaibi, Abdullah M. 11 Din, Qamar 11 Feng, Meiqiang 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 Cheng, Jun 10 Fulga, Andreea 10 Ghaffar, Abdul 10 Karapınar, Erdal 10 Meng, Fanwei 10 Mohanty, Ranjan Kumar 10 Pečarić, Josip 10 Rahman, Gauhar 10 Wang, Guotao 10 Wu, Ailong ...and 6,208 more Authors all top 5 Fields 2,164 Ordinary differential equations (34-XX) 1,046 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) 444 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 3,788 Publications have been cited 25,346 times in 14,512 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 154 2009 Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru 153 2012 On a new class of fractional operators. Zbl 1422.26004Jarad, Fahd; Uğurlu, Ekin; Abdeljawad, Thabet; Baleanu, Dumitru 135 2017 Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods. Zbl 1098.39001Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal 115 2005 On the generalized Apostol-type Frobenius-Euler polynomials. Zbl 1365.05013Kurt, Burak; Simsek, Yilmaz 115 2013 On Caputo modification of the Hadamard fractional derivatives. Zbl 1343.26002Gambo, Yusuf Y.; Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet 97 2014 Quantum calculus on finite intervals and applications to impulsive difference equations. Zbl 1391.39017Tariboon, Jessada; Ntouyas, Sotiris K. 97 2013 Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211Abdeljawad, Thabet; Baleanu, Dumitru 97 2016 On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations. Zbl 1422.34019Aydogan, S. Melike; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 97 2017 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 96 2020 New existence results for nonlinear fractional differential equations with three-point integral boundary conditions. Zbl 1204.34005Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed 83 2011 On a fractional order Ebola epidemic model. Zbl 1344.92150Area, Ivan; Batarfi, Hanan; Losada, Jorge; Nieto, Juan J.; Shammakh, Wafa; Torres, Ángela 82 2015 Forced oscillation of nonlinear fractional differential equations with damping term. Zbl 1350.34016Yang, Jichen; Liu, Anping; Liu, Ting 77 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 76 2017 Unique solutions for a new coupled system of fractional differential equations. Zbl 1445.34030Zhai, Chengbo; Jiang, Ruiting 72 2018 Some results on difference polynomials sharing values. Zbl 1291.30210Liu, Yong; Qi, Xiaoguang; Yi, Hongxun 70 2012 Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations. Zbl 1422.35169Qiu, Meilan; Mei, Liquan; Yang, Ganshang 67 2017 Existence results for nonlinear fractional difference equation. Zbl 1207.39012Chen, Fulai; Luo, Xiannan; Zhou, Yong 65 2011 Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative. Zbl 1487.94202Alizadeh, Shahram; Baleanu, Dumitru; Rezapour, Shahram 64 2020 Dynamical behaviors of a food-chain model with stage structure and time delays. Zbl 1446.37083Huang, Chuangxia; Qiao, Yuncheng; Huang, Lihong; Agarwal, Ravi P. 63 2018 A new fractional model for giving up smoking dynamics. Zbl 1422.34062Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru 60 2017 Existence results for nonlocal boundary value problems of nonlinear fractional \(q\)-difference equations. Zbl 1388.39003Ahmad, Bashir; Ntouyas, Sotiris K.; Purnaras, Ioannis K. 59 2012 Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048Abdeljawad, Thabet; Baleanu, Dumitru 59 2017 The twisted Daehee numbers and polynomials. Zbl 1417.11019Park, Jin-Woo; Rim, Seog-Hoon; Kwon, Jongkyum 59 2014 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 Dual identities in fractional difference calculus within Riemann. Zbl 1369.39015Abdeljawad, Thabet 58 2013 Multiple periodic solutions for a discrete time model of plankton allelopathy. Zbl 1134.39008Zhang, Jianbao; Fang, Hui 58 2006 Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D. 57 2012 Extinction for a discrete competition system with the effect of toxic substances. Zbl 1418.92147Yue, Qin 57 2016 Riemann zeta fractional derivative-functional equation and link with primes. Zbl 1459.26011Guariglia, Emanuel 57 2019 Hyers-Ulam stability of the linear recurrence with constant coefficients. Zbl 1095.39024Popa, Dorian 56 2005 Optimal harvesting control and dynamics of two-species stochastic model with delays. Zbl 1422.34237Liu, Lidan; Meng, Xinzhu 55 2017 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. 55 2021 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 53 2018 New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations. Zbl 1346.39012Tariboon, Jessada; Ntouyas, Sotiris; Agarwal, Praveen 52 2015 Fractional operators with exponential kernels and a Lyapunov type inequality. Zbl 1444.26003Abdeljawad, Thabet 50 2017 On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru 49 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 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. 48 2018 Basic properties of Sobolev’s spaces on time scales. Zbl 1139.39022Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R. 47 2006 Existence and nonexistence of positive solutions for the fractional coupled system involving generalized \(p\)-Laplacian. Zbl 1444.34019Wang, Ying; Jiang, Jiqiang 45 2017 A Jacobi operational matrix for solving a fuzzy linear fractional differential equation. Zbl 1380.34004Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru 45 2013 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 Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions. Zbl 1343.34021Rong, Ji; Bai, Chuanzhi 44 2015 A generalized Lyapunov-type inequality in the frame of conformable derivatives. Zbl 1444.34045Abdeljawad, Thabet; Alzabut, Jehad; Jarad, Fahd 44 2017 On the existence of solutions of a three steps crisis integro-differential equation. Zbl 1445.45011Baleanu, Dumitru; Ghafarnezhad, Khadijeh; Rezapour, Shahram; Shabibi, Mehdi 44 2018 Existence results for a fraction hybrid differential inclusion with Caputo-Hadamard type fractional derivative. Zbl 1459.34042Samei, Mohammad Esmael; Hedayati, Vahid; Rezapour, Shahram 44 2019 Comparison and validation of integer and fractional order ultracapacitor models. Zbl 1268.34091Dzieliński, Andrzej; Sarwas, Grzegorz; Sierociuk, Dominik 43 2011 A new mathematical model for Zika virus transmission. Zbl 1486.92275Rezapour, Shahram; Mohammadi, Hakimeh; Jajarmi, Amin 43 2020 Multiple solutions of a \(p\)-Laplacian model involving a fractional derivative. Zbl 1390.34059Liu, Xiping; Jia, Mei; Ge, Weigao 42 2013 Statistical approximation by Kantorovich-type discrete \(q\)-beta operators. Zbl 1391.41008Mishra, Vishnu; Khatri, Kejal; Mishra, Lakshmi 42 2013 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 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. 42 2016 A discussion on the existence of positive solutions of the boundary value problems via \(\psi\)-Hilfer fractional derivative on \(b\)-metric spaces. Zbl 1486.34009Afshari, Hojjat; Karapınar, Erdal 42 2020 On a three step crisis integro-differential equation. Zbl 1459.45005Baleanu, Dumitru; Ghafarnezhad, Khadijeh; Rezapour, Shahram 42 2019 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. 41 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 41 2010 Positive solutions of fractional differential equations involving the Riemann-Stieltjes integral boundary condition. Zbl 1446.34040Song, Qilin; Bai, Zhanbing 41 2018 A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative. Zbl 1485.37075Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram 41 2020 Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system. Zbl 1494.34137Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Asad, Jihad H.; Jajarmi, Amin; Estiri, Elham 41 2021 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 41 2019 Existence of periodic and subharmonic solutions for second-order \(p\)-Laplacian difference equations. Zbl 1148.39002Chen, Peng; Fang, Hui 40 2007 On the new fractional hybrid boundary value problems with three-point integral hybrid conditions. Zbl 1487.34008Baleanu, D.; Etemad, S.; Pourrazi, S.; Rezapour, Sh. 40 2019 A coupled system of fractional differential equations with nonlocal integral boundary conditions. Zbl 1350.34010Ntouyas, Sotiris K.; Obaid, Mustafa 39 2012 Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials. Zbl 1444.34091Akbari Kojabad, Eisa; Rezapour, Shahram 39 2017 Quantum Hermite-Hadamard inequality by means of a Green function. Zbl 1482.26026Adil Khan, Muhammad; Mohammad, Noor; Nwaeze, Eze R.; Chu, Yu-Ming 39 2020 A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying. Zbl 1485.92136Kumar, Devendra; Singh, Jagdev; Al Qurashi, Maysaa; Baleanu, Dumitru 39 2019 New aspects of poor nutrition in the life cycle within the fractional calculus. Zbl 1446.92194Baleanu, Dumitru; Jajarmi, Amin; Bonyah, Ebenezer; Hajipour, Mojtaba 38 2018 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 Fractional differential equations for the generalized Mittag-Leffler function. Zbl 1445.34007Agarwal, Praveen; Al-Mdallal, Qasem; Cho, Yeol Je; Jain, Shilpi 38 2018 Applying new fixed point theorems on fractional and ordinary differential equations. Zbl 1487.54065Karapınar, Erdal; Abdeljawad, Thabet; Jarad, Fahd 38 2019 The dynamics of COVID-19 with quarantined and isolation. Zbl 1486.92242Khan, Muhammad Altaf; Atangana, Abdon; Alzahrani, Ebraheem; Fatmawati 38 2020 Representation of solutions of linear discrete systems with constant coefficients and pure delay. Zbl 1139.39027Diblík, J.; Khusainov, D. Ya. 37 2006 Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation. Zbl 1422.65144Atangana, Abdon; Alqahtani, Rubayyi T. 37 2016 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. 37 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 37 2017 On the asymptotic behavior of fourth-order functional differential equations. Zbl 1422.34212Moaaz, Osama; Elabbasy, Elmetwally M.; Bazighifan, Omar 37 2017 Global dynamics of a delayed chemostat model with harvest by impulsive flocculant input. Zbl 1422.92139Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu 37 2017 A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the rubella disease model. Zbl 1482.34017Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram 37 2020 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. 36 2006 Positive solutions for a class of fractional 3-point boundary value problems at resonance. Zbl 1422.34065Wang, Yongqing; Liu, Lishan 36 2017 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 36 2014 On a nonlinear fractional differential equation on partially ordered metric spaces. Zbl 1380.34007Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram 36 2013 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 35 2015 On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions. Zbl 1350.34003Alsaedi, Ahmed; Ntouyas, Sotiris; Agarwal, Ravi; Ahmad, Bashir 35 2015 Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular. Zbl 1419.35220Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Baleanu, Dumitru; Escobar-Jimenez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo 35 2016 On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control. Zbl 1494.34138Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Jajarmi, Amin; Defterli, Özlem 35 2021 The existence of solutions for a nonlinear mixed problem of singular fractional differential equations. Zbl 1347.34008Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram 34 2013 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 34 2015 Global dynamics of a state-dependent feedback control system. Zbl 1422.34093Tang, Sanyi; Pang, Wenhong; Cheke, Robert A.; Wu, Jianhong 34 2015 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 34 2018 Effect of cellular reservoirs and delays on the global dynamics of HIV. Zbl 1445.92270Elaiw, A. M.; Elnahary, E. K.; Raezah, A. A. 34 2018 Existence results for fractional \(q\)-difference equations with nonlocal \(q\)-integral boundary conditions. Zbl 1380.39011Zhao, Yulin; Chen, Haibo; Zhang, Qiming 34 2013 Variational iteration method for fractional calculus – a universal approach by Laplace transform. Zbl 1365.34022Wu, Guo-Cheng; Baleanu, Dumitru 34 2013 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 33 2017 Ulam-Hyers-Mittag-Leffler stability for \(\psi\)-Hilfer fractional-order delay differential equations. Zbl 1458.34128Liu, Kui; Wang, JinRong; O’Regan, Donal 33 2019 Urysohn integral equations approach by common fixed points in complex-valued metric spaces. Zbl 1395.54058Sintunavarat, Wutiphol; Cho, Yeol Je; Kumam, Poom 33 2013 Approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert space. Zbl 1343.60080Ahmed, Hamdy M. 32 2014 On the solutions of two special types of Riccati difference equation via Fibonacci numbers. Zbl 1390.39020Tollu, Durhasan T.; Yazlik, Yasin; Taskara, Necati 32 2013 Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique. Zbl 1422.34016Akgül, Ali; Inc, Mustafa; Karatas, Esra; Baleanu, Dumitru 32 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. 55 2021 Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system. Zbl 1494.34137Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Asad, Jihad H.; Jajarmi, Amin; Estiri, Elham 41 2021 On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control. Zbl 1494.34138Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Jajarmi, Amin; Defterli, Özlem 35 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 25 2021 On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems. Zbl 1487.35407Karapinar, Erdal; Binh, Ho Duy; Luc, Nguyen Hoang; Can, Nguyen Huu 23 2021 A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system. Zbl 1494.65060Baleanu, Dumitru; Zibaei, Sadegh; Namjoo, Mehran; Jajarmi, Amin 21 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 19 2021 Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann-Liouville fractional integrals, and Atangana-Baleanu integral operators. Zbl 1494.45005Hammad, Hasanen A.; Aydi, Hassen; Mlaiki, Nabil 17 2021 Existence of radial solutions for a \(p(x)\)-Laplacian Dirichlet problem. Zbl 1494.35077Ragusa, Maria Alessandra; Razani, Abdolrahman; Safari, Farzaneh 17 2021 The generalized U-H and U-H stability and existence analysis of a coupled hybrid system of integro-differential IVPs involving \(\phi\)-Caputo fractional operators. Zbl 1494.34023Boutiara, Abdellatif; Etemad, Sina; Hussain, Azhar; Rezapour, Shahram 16 2021 Fractional calculus in the sky. 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Zbl 1485.34014Abdo, Mohammed S.; Abdeljawad, Thabet; Ali, Saeed M.; Shah, Kamal 11 2021 A new extension to the controlled metric type spaces endowed with a graph. Zbl 1494.54059Mlaiki, Nabil; Souayah, Nizar; Abdeljawad, Thabet; Aydi, Hassen 11 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 10 2021 A new numerical method to solve pantograph delay differential equations with convergence analysis. Zbl 1494.65050Jafari, H.; Mahmoudi, M.; Noori Skandari, M. H. 10 2021 Iterative method for solving one-dimensional fractional mathematical physics model via quarter-sweep and PAOR. Zbl 1494.65051Sunarto, Andang; Agarwal, Praveen; Sulaiman, Jumat; Chew, Jackel Vui Lung; Aruchunan, Elayaraja 10 2021 Results on the approximate controllability of fractional hemivariational inequalities of order \(1< r<2\). 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P.; Agarwal, P. 7 2021 A parallel hybrid accelerated extragradient algorithm for pseudomonotone equilibrium, fixed point, and split null point problems. Zbl 1502.47079Arfat, Yasir; Kumam, Poom; Khan, Muhammad Aqeel Ahmad; Ngiamsunthorn, Parinya Sa; Kaewkhao, Attapol 7 2021 Modified homotopy methods for generalized fractional perturbed Zakharov-Kuznetsov equation in dusty plasma. Zbl 1487.65129Akinyemi, Lanre; Şenol, Mehmet; Huseen, Shaheed N. 6 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 Differential equations of even-order with \(p\)-Laplacian like operators: qualitative properties of the solutions. Zbl 1494.34181Bazighifan, Omar; Abdeljawad, Thabet; Al-Mdallal, Qasem M. 6 2021 New discrete inequalities of Hermite-Hadamard type for convex functions. Zbl 1494.26054Mohammed, Pshtiwan Othman; Abdeljawad, Thabet; Alqudah, Manar A.; Jarad, Fahd 6 2021 An inertially constructed forward-backward splitting algorithm in Hilbert spaces. Zbl 1502.47078Arfat, Yasir; Kumam, Poom; Khan, Muhammad Aqeel Ahmad; Ngiamsunthorn, Parinya Sa; Kaewkhao, Attapol 6 2021 Analysis and applications of the proportional Caputo derivative. Zbl 1494.26004Akgül, Ali; Baleanu, Dumitru 6 2021 Finite difference scheme for singularly perturbed reaction diffusion problem of partial delay differential equation with nonlocal boundary condition. Zbl 1494.65069Elango, Sekar; Tamilselvan, Ayyadurai; Vadivel, R.; Gunasekaran, Nallappan; Zhu, Haitao; Cao, Jinde; Li, Xiaodi 6 2021 Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense. Zbl 1494.26067Agarwal, P.; Sidi Ammi, M. R.; Asad, J. 6 2021 Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function. 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Zbl 1494.35170Van Bockstal, Karel 6 2021 On a nonlinear sequential four-point fractional \(q\)-difference equation involving \(q\)-integral operators in boundary conditions along with stability criteria. Zbl 1494.39005Boutiara, Abdelatif; Etemad, Sina; Alzabut, Jehad; Hussain, Azhar; Subramanian, Muthaiah; Rezapour, Shahram 6 2021 Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables. Zbl 1487.30031Xu, Hong Yan; Meng, Da Wei; Liu, Sanyang; Wang, Hua 5 2021 Dynamical analysis of a delayed food chain model with additive Allee effect. Zbl 1487.92025Vinoth, S.; Sivasamy, R.; Sathiyanathan, K.; Rajchakit, Grienggrai; Hammachukiattikul, P.; Vadivel, R.; Gunasekaran, Nallappan 5 2021 Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions. 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A.; Rashid, Saima 5 2021 A predator-prey model involving variable-order fractional differential equations with Mittag-Leffler kernel. Zbl 1494.92100Khan, Aziz; Alshehri, Hashim M.; Gómez-Aguilar, J. F.; Khan, Zareen A.; Fernández-Anaya, G. 5 2021 Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo-Fabrizio derivative. Zbl 1494.92150Thabet, Sabri T. M.; Abdo, Mohammed S.; Shah, Kamal 5 2021 On the qualitative analysis of the fractional boundary value problem describing thermostat control model via \(\psi\)-Hilfer fractional operator. Zbl 1494.34062Thaiprayoon, Chatthai; Sudsutad, Weerawat; Alzabut, Jehad; Etemad, Sina; Rezapour, Shahram 5 2021 Nonlocal and multiple-point fractional boundary value problem in the frame of a generalized Hilfer derivative. Zbl 1494.34058Shatanawi, Wasfi; Boutiara, Abdellatif; Abdo, Mohammed S.; Jeelani, Mdi B.; Abodayeh, Kamaleldin 5 2021 The dynamics of a Leslie type predator-prey model with fear and Allee effect. Zbl 1494.92110Vinoth, S.; Sivasamy, R.; Sathiyanathan, K.; Unyong, Bundit; Rajchakit, Grienggrai; Vadivel, R.; Gunasekaran, Nallappan 5 2021 Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel. Zbl 1494.65104Sadri, Khadijeh; Hosseini, Kamyar; Baleanu, Dumitru; Ahmadian, Ali; Salahshour, Soheil 5 2021 Characterization and stability analysis of advanced multi-quadratic functional equations. Zbl 1494.39026Bodaghi, Abasalt; Moshtagh, Hossein; Dutta, Hemen 5 2021 On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation. Zbl 1494.65023Shams, Mudassir; Rafiq, Naila; Kausar, Nasreen; Agarwal, Praveen; Park, Choonkil; Mir, Nazir Ahmad 5 2021 New discussion on nonlocal controllability for fractional evolution system of order \(1 < r < 2\). Zbl 1494.34045Mohan Raja, M.; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Rezapour, Shahram 5 2021 Time delay induced Hopf bifurcation in a diffusive predator-prey model with prey toxicity. Zbl 1487.92029Yang, Ruizhi; Ma, Yuxin; Zhang, Chiyu 4 2021 A new approach on the modelling, chaos control and synchronization of a fractional biological oscillator. Zbl 1487.92004Alshomrani, Ali Saleh; Ullah, Malik Zaka; Baleanu, Dumitru 4 2021 Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis. Zbl 1485.92109Alqahtani, Rubayyi T. 4 2021 Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes. Zbl 1485.40007Saker, S. H.; Rabie, S. 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Zbl 1485.45002Li, Chenkuan 4 2021 Orthogonal \(m\)-metric spaces and an application to solve integral equations. Zbl 1494.54070Uddin, Fahim; Park, Choonkil; Javed, Khalil; Arshad, Muhammad; Lee, Jung Rye 4 2021 Difference monotonicity analysis on discrete fractional operators with discrete generalized Mittag-Leffler kernels. Zbl 1494.26010Mohammed, Pshtiwan Othman; Hamasalh, Faraidun Kadir; Abdeljawad, Thabet 4 2021 Dynamics of a stochastic COVID-19 epidemic model with jump-diffusion. Zbl 1494.92148Tesfay, Almaz; Saeed, Tareq; Zeb, Anwar; Tesfay, Daniel; Khalaf, Anas; Brannan, James 4 2021 Dynamical behavior of two predators-one prey model with generalized functional response and time-fractional derivative. Zbl 1494.92096Djilali, Salih; Ghanbari, Behzad 4 2021 Hermite-Hadamard integral inequalities on coordinated convex functions in quantum calculus. 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Zbl 1494.11027Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum; Lee, Hyunseok; Park, Seong-Ho 4 2021 Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations. Zbl 1494.65065Abd El Salam, Mohamed A.; Ramadan, Mohamed A.; Nassar, Mahmoud A.; Agarwal, Praveen; Chu, Yu-Ming 4 2021 Stability analysis for a class of implicit fractional differential equations involving Atangana-Baleanu fractional derivative. Zbl 1494.34013Asma; Shabbir, Sana; Shah, Kamal; Abdeljawad, Thabet 4 2021 Some analytical and numerical results for a fractional \(q\)-differential inclusion problem with double integral boundary conditions. Zbl 1494.34057Shabibi, Mehdi; Samei, Mohammad Esmael; Ghaderi, Mehran; Rezapour, Shahram 4 2021 A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems. Zbl 1494.34167Kavitha, K.; Nisar, Kottakkaran Sooppy; Shukla, Anurag; Vijayakumar, Velusamy; Rezapour, Shahram 4 2021 New approximate analytical technique for the solution of time fractional fluid flow models. Zbl 1487.35401Farooq, Umar; Khan, Hassan; Tchier, Fairouz; Hincal, Evren; Baleanu, Dumitru; Bin Jebreen, Haifa 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 Study of composite fractional relaxation differential equation using fractional operators with and without singular kernels and special functions. Zbl 1489.34024Zafar, Azhar Ali; Awrejcewicz, Jan; Mazur, Olga; Riaz, Muhammad Bilal 3 2021 Existence of chaos for partial difference equations via tangent and cotangent functions. Zbl 1485.39015Guo, Haihong; Liang, Wei 3 2021 ...and 1410 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 15,034 Authors 333 Băleanu, Dumitru I. 220 Abdeljawad, Thabet 152 Agarwal, Ravi P. 151 Ntouyas, Sotiris K. 146 Ahmad, Bashir 144 Kim, Taekyun 129 Rezapour, Shahram 116 Kim, Dae San 115 O’Regan, Donal 108 Sooppy Nisar, Kottakkaran 107 Shah, Kamal 104 Al-saedi, Ahmed Eid Salem 100 Chu, Yuming 98 Tariboon, Jessada 86 Jarad, Fahd 82 Cao, Jinde 78 Wang, Jinrong 77 Alzabut, Jehad O. 77 Li, Tongxing 75 Park, Choonkil 73 Zada, Akbar 68 Benchohra, Mouffak 66 Etemad, Sina 64 Rashid, Saima 63 Agarwal, Praveen 63 de la Sen, Manuel 63 Nieto Roig, Juan Jose 62 Atangana, Abdon 53 Srivastava, Hari Mohan 51 Han, Zhenlai 51 Khan, Aziz 49 Kumam, Poom 49 Sun, Shurong 48 Akgül, Ali 48 Stević, Stevo 46 Abdo, Mohammed Salem 46 Araci, Serkan 46 Bohner, Martin J. 46 Khan, Hasib 45 Budak, Hüseyin 45 Diblík, Josef 45 Samei, Mohammad Esmael 44 Chatzarakis, George E. 44 Inc, Mustafa 43 Liu, Lishan 42 Ibrahim, Rabha Waell 41 Al-Omari, Shrideh Khalaf Qasem 41 Cui, Yujun 41 Elaiw, Ahmed M. 41 Elsayed, Elsayed Mohammed 41 Gómez-Aguilar, José Francisco 41 Sitthiwirattham, Thanin 40 Rahman, Gauhar 39 Kiliçman, Adem 39 Xu, Jiafa 38 Grace, Said Rezk 38 Salahshour, Soheil 37 Farid, Ghulam 37 Li, Yongkun 36 Chen, Fengde 36 Wu, Yonghong 35 Aydi, Hassen Mohamed 34 Noor, Muhammad Aslam 34 Shi, Haiping 33 Bhrawy, Ali Hassan 33 Mursaleen, Mohammad 33 Zhai, Chengbo 32 Dolgiĭ, Dmitriĭ Viktorovich 32 Jang, Lee-Chae 32 Jiang, Daqing 32 Meng, Xinzhu 32 Zhong, Shou-Ming 31 Ali, Muhammad Aamir 31 Mahmudov, Nazim Idrisoglu 30 Bai, Zhanbing 30 Fečkan, Michal 30 Graef, John R. 30 Kulenović, Mustafa R. 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