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 Short Title: Adv. Difference Equ. Publisher: Springer International Publishing (SpringerOpen), Cham ISSN: 1687-1847/e Online: http://link.springer.com/journal/volumesAndIssues/13662https://advancesindifferenceequations.springeropen.comhttp://www.emis.de/journals/HOA/ADE/ Comments: Published electronic only as of 2004. This journal is available open access.
 Documents Indexed: 3,316 Publications (since 2004) References Indexed: 3,267 Publications with 85,303 References.
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#### Authors

 90 Băleanu, Dumitru I. 64 Agarwal, Ravi P. 53 Kim, Taekyun 47 Ntouyas, Sotiris K. 41 Ahmad, Bashir 37 Kim, Dae San 32 Tariboon, Jessada 31 Li, Tongxing 31 Sun, Shurong 29 Park, Choonkil 26 Zhong, Shou-Ming 25 Han, Zhenlai 25 O’Regan, Donal 24 Kiliçman, Adem 21 Abdeljawad, Thabet 20 Diblík, Josef 19 Cao, Jinde 18 Ma, Ruyun 17 Stević, Stevo 16 Rim, Seog-Hoon 15 Šmarda, Zdeněk 15 Wang, Jinrong 15 Zhao, Kaihong 14 Al-saedi, Ahmed Eid Salem 14 Liu, Lishan 14 Xie, Xiangdong 13 Benchohra, Mouffak 13 Rezapour, Shahram 13 Xu, Hongyan 12 Eshaghi Gordji, Madjid 12 Jarad, Fahd 12 Jiang, Wei 12 Kulenović, Mustafa R. S. 12 Li, Fang 12 Li, Yongkun 12 Liu, Wenbin 12 Nieto Roig, Juan Jose 12 Sun, Taixiang 12 Teng, Zhi-dong 11 Dolgiĭ, Dmitriĭ Viktorovich 11 Feng, Meiqiang 11 Jiao, Jianjun 11 Lee, Manseob 11 Liang, Jin 10 Bhrawy, Ali Hassan 10 Chen, Fengde 10 Chen, Haibo 10 Mohanty, Ranjan Kumar 10 Rattanakul, Chontita 10 Wang, Guotao 10 Zhou, Yong 9 Agarwal, Praveen 9 Alotaibi, Abdullah M. 9 Araci, Serkan 9 Cuevas, Claudio 9 Din, Qamar 9 Kim, Daeyeoul 9 Kwon, JongKyum 9 Lee, Sang Hun 9 Lenbury, Yongwimon 9 Sitthiwirattham, Thanin 9 Wu, Yonghong 9 Xi, Hongjian 9 Zhang, Chenghui 9 Zhang, Zizhen 8 Alonso Quesada, Santiago 8 Alquran, Marwan Taiseer 8 Cai, Shaohong 8 Cheng, Jun 8 de la Sen, Manuel 8 Ding, Xiaohua 8 Gao, Chenghua 8 Ge, Weigao 8 Khusainov, Denis Ya. 8 Kwon, Hyuck In 8 Meng, Fanwei 8 Niamsup, Piyapong 8 Ozarslan, Mehmet Ali 8 Rajchakit, Grienggrai 8 Růžičková, Miroslava 8 Simsek, Yilmaz 8 Wu, Yusen 8 Xu, Changjin 8 Zhai, Chengbo 7 Al-Omari, Shrideh Khalaf Qasem 7 Bohner, Martin J. 7 Chatzarakis, George E. 7 Chen, Baoqin 7 Guan, Wen 7 He, Zhimin 7 Ibeas, Asier 7 Ibrahim, Rabha Waell 7 Jang, Lee-Chae 7 Kang, Shugui 7 Khan, Rahmat Ali 7 Lee, Young-Su 7 Li, Sheng 7 Lu, Shiping 7 Lu, Yanqiong 7 Luo, Zhiguo ...and 4,377 more Authors
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#### Fields

 1,623 Ordinary differential equations (34-XX) 737 Difference and functional equations (39-XX) 561 Biology and other natural sciences (92-XX) 504 Real functions (26-XX) 448 Partial differential equations (35-XX) 412 Dynamical systems and ergodic theory (37-XX) 335 Systems theory; control (93-XX) 296 Numerical analysis (65-XX) 248 Operator theory (47-XX) 189 Probability theory and stochastic processes (60-XX) 172 Number theory (11-XX) 121 Integral equations (45-XX) 104 Functions of a complex variable (30-XX) 101 Special functions (33-XX) 72 Combinatorics (05-XX) 62 Functional analysis (46-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 33 Integral transforms, operational calculus (44-XX) 31 Fluid mechanics (76-XX) 29 Computer science (68-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 27 Global analysis, analysis on manifolds (58-XX) 26 Sequences, series, summability (40-XX) 23 Approximations and expansions (41-XX) 23 General topology (54-XX) 19 Mechanics of particles and systems (70-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 18 Statistics (62-XX) 17 Information and communication theory, circuits (94-XX) 16 Mechanics of deformable solids (74-XX) 14 Operations research, mathematical programming (90-XX) 12 Abstract harmonic analysis (43-XX) 11 Measure and integration (28-XX) 10 Quantum theory (81-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Differential geometry (53-XX) 5 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Potential theory (31-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 2 Geophysics (86-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

2,437 Publications have been cited 12,001 times in 7,872 Documents Cited by Year
A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative. Zbl 1182.34103
Agarwal, Ravi P.; Belmekki, Mohammed; Benchohra, Mouffak
2009
Multiple positive solutions of singular discrete $$p$$-Laplacian problems via variational methods. Zbl 1098.39001
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
2005
Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002
2012
On the generalized Apostol-type Frobenius-Euler polynomials. Zbl 1365.05013
Kurt, Burak; Simsek, Yilmaz
2013
New existence results for nonlinear fractional differential equations with three-point integral boundary conditions. Zbl 1204.34005
Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed
2011
On Caputo modification of the Hadamard fractional derivatives. Zbl 1343.26002
2014
Multiple periodic solutions for a discrete time model of plankton allelopathy. Zbl 1134.39008
Zhang, Jianbao; Fang, Hui
2006
Some results on difference polynomials sharing values. Zbl 1291.30210
Liu, Yong; Qi, Xiaoguang; Yi, Hongxun
2012
Hyers-Ulam stability of the linear recurrence with constant coefficients. Zbl 1095.39024
Popa, Dorian
2005
A shifted Legendre spectral method for fractional-order multi-point boundary value problems. Zbl 1280.65074
Bhrawy, Ali H.; Al-Shomrani, Mohammed M.
2012
On a fractional order Ebola epidemic model. Zbl 1344.92150
Area, Ivan; Batarfi, Hanan; Losada, Jorge; Nieto, Juan J.; Shammakh, Wafa; Torres, Ángela
2015
Quantum calculus on finite intervals and applications to impulsive difference equations. Zbl 1391.39017
2013
Dual identities in fractional difference calculus within Riemann. Zbl 1369.39015
2013
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
2012
Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211
2016
Optimal harvesting control and dynamics of two-species stochastic model with delays. Zbl 1422.34237
Liu, Lidan; Meng, Xinzhu
2017
Existence of periodic and subharmonic solutions for second-order $$p$$-Laplacian difference equations. Zbl 1148.39002
Chen, Peng; Fang, Hui
2007
On a new class of fractional operators. Zbl 1422.26004
2017
On type of periodicity and ergodicity to a class of fractional order differential equations. Zbl 1194.34007
Agarwal, Ravi P.; De Andrade, Bruno; Cuevas, Claudio
2010
Basic properties of Sobolev’s spaces on time scales. Zbl 1139.39022
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
2006
Statistical approximation by Kantorovich-type discrete $$q$$-beta operators. Zbl 1391.41008
Mishra, Vishnu; Khatri, Kejal; Mishra, Lakshmi
2013
A Jacobi operational matrix for solving a fuzzy linear fractional differential equation. Zbl 1380.34004
Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru
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 1380.92026
Atangana, Abdon; Alabaraoye, Ernestine
2013
Existence results for nonlocal boundary value problems of nonlinear fractional $$q$$-difference equations. Zbl 1388.39003
Ahmad, Bashir; Ntouyas, Sotiris K.; Purnaras, Ioannis K.
2012
Forced oscillation of nonlinear fractional differential equations with damping term. Zbl 1350.34016
Yang, Jichen; Liu, Anping; Liu, Ting
2015
The twisted Daehee numbers and polynomials. Zbl 1417.11019
Park, Jin-Woo; Rim, Seog-Hoon; Kwon, Jongkyum
2014
Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048
2017
Existence results for nonlinear fractional difference equation. Zbl 1207.39012
Chen, Fulai; Luo, Xiannan; Zhou, Yong
2011
Multiple solutions of a $$p$$-Laplacian model involving a fractional derivative. Zbl 1390.34059
Liu, Xiping; Jia, Mei; Ge, Weigao
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 1219.34104
De La Sen, M.; Agarwal, Ravi P.; Ibeas, A.; Alonso-Quesada, S.
2010
Global dynamics of a delayed chemostat model with harvest by impulsive flocculant input. Zbl 1422.92139
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2017
Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions. Zbl 1343.34021
Rong, Ji; Bai, Chuanzhi
2015
New concepts of fractional quantum calculus and applications to impulsive fractional $$q$$-difference equations. Zbl 1346.39012
Tariboon, Jessada; Ntouyas, Sotiris; Agarwal, Praveen
2015
Comparison and validation of integer and fractional order ultracapacitor models. Zbl 1268.34091
Dzieliński, Andrzej; Sarwas, Grzegorz; Sierociuk, Dominik
2011
Dynamical behaviors of a food-chain model with stage structure and time delays. Zbl 1446.37083
Huang, Chuangxia; Qiao, Yuncheng; Huang, Lihong; Agarwal, Ravi P.
2018
Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations. Zbl 1422.35169
Qiu, Meilan; Mei, Liquan; Yang, Ganshang
2017
Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel. Zbl 1419.35208
Gómez-Aguilar, J. F.; Torres, L.; Yépez-Martínez, H.; Baleanu, D.; Reyes, J. M.; Sosa, I. O.
2016
Geometrical analysis and control optimization of a predator-prey model with multi state-dependent impulse. Zbl 1422.34094
Wang, Jianmei; Cheng, Huidong; Meng, Xinzhu; Pradeep, B. G. Sampath Aruna
2017
Extinction for a discrete competition system with the effect of toxic substances. Zbl 1418.92147
Yue, Qin
2016
Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters. Zbl 1417.34062
Wang, Ying; Liu, Lishan; Wu, Yonghong
2014
An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems. Zbl 1423.49018
Doha, Eid; Bhrawy, Ali; Baleanu, Dumitru; Ezz-Eldien, Samer; Hafez, Ramy
2015
On the difference equation $$x_{n+1}=ax_n-bx_n/(cx_n-dx_{n-1})$$. Zbl 1139.39304
Elabbasy, E. M.; El-Metwally, H.; Elsayed, E. M.
2006
Stability of an additive-cubic-quartic functional equation. Zbl 1196.39015
Eshaghi Gordji, M.; Kaboli-Gharetapeh, S.; Park, Choonkil; Zolfaghari, Somayyeh
2009
Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator. Zbl 1380.35163
Su, Wei-Hua; Yang, Xiao-Jun; Jafari, H.; Baleanu, Dumitru
2013
Adaptive tracking control for a class of uncertain nonlinear systems with infinite number of actuator failures using neural networks. Zbl 1444.93014
Lv, Wenshun; Wang, Fang
2017
Unique solutions for a new coupled system of fractional differential equations. Zbl 1445.34030
Zhai, Chengbo; Jiang, Ruiting
2018
Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis. Zbl 1422.92159
Miao, Anqi; Wang, Xinyang; Zhang, Tongqian; Wang, Wei; Sampath Aruna Pradeep, BG
2017
A new fractional model for giving up smoking dynamics. Zbl 1422.34062
Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru
2017
A coupled system of fractional differential equations with nonlocal integral boundary conditions. Zbl 1350.34010
Ntouyas, Sotiris K.; Obaid, Mustafa
2012
On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions. Zbl 1350.34003
Alsaedi, Ahmed; Ntouyas, Sotiris; Agarwal, Ravi; Ahmad, Bashir
2015
Riemann zeta fractional derivative-functional equation and link with primes. Zbl 1459.26011
Guariglia, Emanuel
2019
Boundary value problems for fractional differential equations with three-point fractional integral boundary conditions. Zbl 1293.34013
2012
New applications of the variational iteration method – from differential equations to $$q$$-fractional difference equations. Zbl 1365.39006
Wu, Guo-Cheng; Baleanu, Dumitru
2013
Variational iteration method for fractional calculus – a universal approach by Laplace transform. Zbl 1365.34022
Wu, Guo-Cheng; Baleanu, Dumitru
2013
Existence and nonexistence of positive solutions for the fractional coupled system involving generalized $$p$$-Laplacian. Zbl 1444.34019
Wang, Ying; Jiang, Jiqiang
2017
Connections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces. Zbl 1419.39038
2016
ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect. Zbl 1419.35180
Yang, Hong Wei; Xu, Zhen Hua; Yang, De Zhou; Feng, Xing Ru; Yin, Bao Shu; Dong, Huan He
2016
A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half line. Zbl 1380.34008
Bhrawy, Ali H.; Alghamdi, Mohammed M.; Taha, Taha M.
2012
Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition. Zbl 1444.34083
Zada, Akbar; Ali, Sartaj; Li, Yongjin
2017
Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation. Zbl 1422.65144
Atangana, Abdon; Alqahtani, Rubayyi T.
2016
Representation of solutions of linear discrete systems with constant coefficients and pure delay. Zbl 1139.39027
Diblík, J.; Khusainov, D. Ya.
2006
Positive solutions for a class of fractional 3-point boundary value problems at resonance. Zbl 1422.34065
Wang, Yongqing; Liu, Lishan
2017
A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative. Zbl 1422.34219
Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram
2017
Solution and stability of a mixed type additive, quadratic, and cubic functional equation. Zbl 1177.39031
Eshaghi Gordji, M.; Kaboli Gharetapeh, S.; Rassias, J. M.; Zolfaghari, S.
2009
Some identities of Frobenius-Euler polynomials arising from umbral calculus. Zbl 1377.11025
Kim, Dae San; Kim, Taekyun
2012
Three solutions to Dirichlet boundary value problems for $$p$$-Laplacian difference equations. Zbl 1146.39028
Jiang, Liqun; Zhou, Zhan
2008
Fractional operators with exponential kernels and a Lyapunov type inequality. Zbl 1444.26003
2017
Periodic solution and control optimization of a prey-predator model with two types of harvesting. Zbl 1445.37070
Wang, Jianmei; Cheng, Huidong; Liu, Hongxia; Wang, Yanhui
2018
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 1445.35281
Fu, Chen; Lu, Chang Na; Yang, Hong Wei
2018
Existence and uniqueness of solutions for systems of fractional differential equations with Riemann-Stieltjes integral boundary condition. Zbl 1446.34021
Zhang, Xinqiu; Liu, Lishan; Wu, Yonghong; Zou, Yumei
2018
Global dynamics of a state-dependent feedback control system. Zbl 1422.34093
Tang, Sanyi; Pang, Wenhong; Cheke, Robert A.; Wu, Jianhong
2015
A semigroup-like property for discrete Mittag-Leffler functions. Zbl 1292.39001
2012
On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination. Zbl 1219.34066
De La Sen, M.; Agarwal, Ravi P.; Ibeas, A.; Alonso-Quesada, S.
2011
Urysohn integral equations approach by common fixed points in complex-valued metric spaces. Zbl 1395.54058
Sintunavarat, Wutiphol; Cho, Yeol Je; Kumam, Poom
2013
On a class of $$q$$-Bernoulli and $$q$$-Euler polynomials. Zbl 1380.11018
Mahmudov, Nazim I.
2013
Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws. Zbl 1445.35298
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
2018
Iterative oscillation tests for differential equations with several non-monotone arguments. Zbl 1348.34121
Braverman, Elena; Chatzarakis, George E.; Stavroulakis, Ioannis P.
2016
Existence of nonoscillatory solutions to second-order neutral delay dynamic equations on time scales. Zbl 1178.34119
Li, Tongxing; Han, Zhenlai; Sun, Shurong; Yang, Dianwu
2009
An asymptotic result for some delay difference equations with continuous variable. Zbl 1079.39011
Philos, Ch. G.; Purnaras, I. K.
2004
On the existence and uniqueness of solutions to boundary value problems on time scales. Zbl 1089.39005
Henderson, Johnny; Peterson, Allan; Tisdell, Christopher C.
2004
On the solutions of systems of difference equations. Zbl 1146.39023
Yalçinkaya, İbrahim; Çinar, Cengiz; Atalay, Muhammet
2008
A generalized Lyapunov-type inequality in the frame of conformable derivatives. Zbl 1444.34045
2017
Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel. Zbl 1422.35165
Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Torres-Jiménez, J.; Córdova-Fraga, T.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H.
2017
Oscillation of second-order neutral delay and mixed-type dynamic equations on time scales. Zbl 1139.39302
Şahıner, Y.
2006
Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales. Zbl 1294.34085
Li, Yongkun; Wang, Chao
2012
Dynamics of a two-dimensional system of rational difference equations of Leslie-Gower type. Zbl 1384.37031
Kalabušić, S.; Kulenović, M. R. S; Pilav, E.
2011
Exponential stability of dynamic equations on time scales. Zbl 1100.39013
Peterson, Allan C.; Raffoul, Youssef N.
2005
Approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert space. Zbl 1343.60080
Ahmed, Hamdy M.
2014
Iterated oscillation criteria for delay dynamic equations of first order. Zbl 1160.39302
Bohner, M.; Karpuz, B.; Öcalan, Ö.
2008
Existence results for a fractional equation with state-dependent delay. Zbl 1216.45003
dos Santos, José Paulo Carvalho; Cuevas, Claudio; de Andrade, Bruno
2011
Dynamics of a fourth-order system of rational difference equations. Zbl 1377.39001
Din, Q.; Qureshi, M. N.; Khan, A.
2012
On a nonlinear fractional differential equation on partially ordered metric spaces. Zbl 1380.34007
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
2013
Oscillation criteria for fractional differential equations with mixed nonlinearities. Zbl 1391.34069
Shao, Jing; Zheng, Zhaowen; Meng, Fanwei
2013
Fractional singular Sturm-Liouville operator for Coulomb potential. Zbl 1391.81081
Bas, Erdal; Metin, Funda
2013
New aspects of poor nutrition in the life cycle within the fractional calculus. Zbl 1446.92194
Baleanu, Dumitru; Jajarmi, Amin; Bonyah, Ebenezer; Hajipour, Mojtaba
2018
Effect of cellular reservoirs and delays on the global dynamics of HIV. Zbl 1445.92270
Elaiw, A. M.; Elnahary, E. K.; Raezah, A. A.
2018
Positive solutions of fractional differential equations involving the Riemann-Stieltjes integral boundary condition. Zbl 1446.34040
Song, Qilin; Bai, Zhanbing
2018
New results on higher-order Daehee and Bernoulli numbers and polynomials. Zbl 1400.11071
El-Desouky, Beih S.; Mustafa, Abdelfattah
2016
Interval oscillation criteria for second-order nonlinear forced differential equations involving variable exponent. Zbl 1419.34121
Liu, Haidong; Meng, Fanwei
2016
Positive solutions of Riemann-Stieltjes integral boundary problems for the nonlinear coupling system involving fractional-order differential. Zbl 1348.34032
Zhao, Kaihong; Gong, Ping
2014
Riemann zeta fractional derivative-functional equation and link with primes. Zbl 1459.26011
Guariglia, Emanuel
2019
New uniqueness results for fractional differential equation with dependence on the first order derivative. Zbl 1458.34034
Yue, Zhenzhen; Zou, Yumei
2019
Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates. Zbl 1458.37096
Gao, Ning; Song, Yi; Wang, Xinzeng; Liu, Jianxin
2019
Stability and Hopf bifurcation for a stage-structured predator-prey model incorporating refuge for prey and additional food for predator. Zbl 1458.37091
Bai, Yuzhen; Li, Yunyun
2019
Analytical research of ($$3+1$$)-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach. Zbl 1458.35353
Ren, Yanwei; Tao, Mengshuang; Dong, Huanhe; Yang, Hongwei
2019
Ulam-Hyers-Mittag-Leffler stability for $$\psi$$-Hilfer fractional-order delay differential equations. Zbl 1458.34128
Liu, Kui; Wang, JinRong; O&rsquo;Regan, Donal
2019
An optimized Crank-Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation. Zbl 1458.65118
Zhou, Yanjie; Luo, Zhendong
2019
Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives. Zbl 1459.34040
Riaz, Usman; Zada, Akbar; Ali, Zeeshan; Cui, Yujun; Xu, Jiafa
2019
The new exact solitary wave solutions and stability analysis for the $$(2+1)$$-dimensional Zakharov-Kuznetsov equation. Zbl 1458.35369
Ghanbari, Behzad; Yusuf, Abdullahi; Inc, Mustafa; Baleanu, Dumitru
2019
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations. Zbl 1459.34180
2019
Existence of positive solution and Hyers-Ulam stability for a nonlinear singular-delay-fractional differential equation. Zbl 1459.34024
2019
Positive solutions for a class of fractional difference systems with coupled boundary conditions. Zbl 1459.39011
Cheng, Wei; Xu, Jiafa; Cui, Yujun; Ge, Qi
2019
Control optimization and homoclinic bifurcation of a prey-predator model with ratio-dependent. Zbl 1458.37104
Shi, Zhenzhen; Wang, Jianmei; Li, Qingjian; Cheng, Huidong
2019
Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations. Zbl 1458.34045
Ali, A.; Shah, K.; Baleanu, D.
2019
Existence results in Banach space for a nonlinear impulsive system. Zbl 1458.34127
Khan, Hasib; Khan, Aziz; Abdeljawad, Thabet; Alkhazzan, Abdulwasea
2019
Dynamics analysis of stochastic epidemic models with standard incidence. Zbl 1458.37108
Zhao, Wencai; Liu, Jinlei; Chi, Mengnan; Bian, Feifei
2019
Two computational approaches for solving a fractional obstacle system in Hilbert space. Zbl 1458.65093
2019
Solvability for some class of multi-order nonlinear fractional systems. Zbl 1458.34035
Zhao, Yige; Hou, Xinyi; Sun, Yibing; Bai, Zhanbing
2019
Extended central factorial polynomials of the second kind. Zbl 1458.11048
Kim, Taekyun; Kim, Dae San; Jang, Gwan-Woo; Kwon, Jongkyum
2019
Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations. Zbl 1459.35383
2019
Fractional hybrid differential equations with three-point boundary hybrid conditions. Zbl 1459.34014
Derbazi, Choukri; Hammouche, Hadda; Benchohra, Mouffak; Zhou, Yong
2019
Some dynamic inequalities on time scales and their applications. Zbl 1459.26043
El-Deeb, A. A.; Xu, Haiyong; Abdeldaim, A.; Wang, Guotao
2019
Ulam-Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions. Zbl 1458.34126
2019
Approximate solution of linear Volterra integro-differential equation by using cubic B-spline finite element method in the complex plane. Zbl 1458.65159
2019
Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses. Zbl 1459.34041
Rizwan, Rizwan; Zada, Akbar; Wang, Xiaoming
2019
Positive solutions for an infinite system of fractional order boundary value problems. Zbl 1459.34079
Wang, Fuli; Cui, Yujun
2019
Dynamics analysis of a stochastic non-autonomous one-predator-two-prey system with Beddington-DeAngelis functional response and impulsive perturbations. Zbl 1459.92092
Qi, Haokun; Meng, Xinzhu; Feng, Tao
2019
A reliable numerical analysis for stochastic dengue epidemic model with incubation period of virus. Zbl 1458.92078
2019
Asymptotic-sequentially solution style for the generalized Caputo time-fractional Newell-Whitehead-Segel system. Zbl 1458.35442
2019
Note on weakly fractional differential equations. Zbl 1459.34016
Fečkan, Michal; Pospíšil, Michal; Wang, JinRong
2019
A reliable technique for fractional modified Boussinesq and approximate long wave equations. Zbl 1459.35385
Veeresha, P.; Prakasha, D. G.; Qurashi, M. A.; Baleanu, D.
2019
Solution of fractional Volterra-Fredholm integro-differential equations under mixed boundary conditions by using the HOBW method. Zbl 1459.65238
2019
On the oscillation of fourth-order delay differential equations. Zbl 1459.34152
Grace, Said R.; Džurina, Jozef; Jadlovská, Irena; Li, Tongxing
2019
Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk. Zbl 1459.37095
Xin, Baogui; Peng, Wei; Kwon, Yekyung; Liu, Yanqin
2019
Generalized fractional inequalities for quasi-convex functions. Zbl 1458.26076
Ullah, S.; Farid, G.; Khan, K. A.; Waheed, A.; Mehmood, S.
2019
Sequential evolution conformable differential equations of second order with nonlocal condition. Zbl 1458.34014
Bouaouid, Mohamed; Hilal, Khalid; Melliani, Said
2019
Bifurcation and chaos control in a discrete-time predator-prey model with nonlinear saturated incidence rate and parasite interaction. Zbl 1458.37098
2019
Existence results of nonlocal boundary value problem for a nonlinear fractional differential coupled system involving fractional order impulses. Zbl 1458.34116
Zhao, Kaihong; Huang, Hui
2019
Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms. Zbl 1458.35459
Saqib, Muhammad; Khan, Ilyas; Shafie, Sharidan
2019
On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders. Zbl 1458.34044
Ahmad, Bashir; Alsaedi, Ahmed; Salem, Sara
2019
Hopf bifurcation of a heroin model with time delay and saturated treatment function. Zbl 1443.37065
Zhang, Zizhen; Wang, Yougang
2019
Fractional-order modelling of state-dependent non-associated behaviour of soil without using state variable and plastic potential. Zbl 1458.74105
Sun, Yifei; Zheng, Changjie
2019
Construction of fractional power series solutions to fractional stiff system using residual functions algorithm. Zbl 1458.34017
2019
On the existence and uniqueness of $$(N,\lambda )$$-periodic solutions to a class of Volterra difference equations. Zbl 1459.39027
Alvarez, Edgardo; Díaz, Stiven; Lizama, Carlos
2019
Uncertain fractional forward difference equations for Riemann-Liouville type. Zbl 1459.39013
Lu, Qinyun; Zhu, Yuanguo; Lu, Ziqiang
2019
Existence results for a fraction hybrid differential inclusion with Caputo-Hadamard type fractional derivative. Zbl 1459.34042
Samei, Mohammad Esmael; Hedayati, Vahid; Rezapour, Shahram
2019
Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations. Zbl 1459.35372
2019
Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets. Zbl 1459.34033
Maitama, Shehu; Zhao, Weidong
2019
Existence and Ulam-Hyers stability for Caputo conformable differential equations with four-point integral conditions. Zbl 1459.34007
Aphithana, Aphirak; Ntouyas, Sotiris K.; Tariboon, Jessada
2019
Dissipative criteria for Takagi-Sugeno fuzzy Markovian jumping neural networks with impulsive perturbations using delay partitioning approach. Zbl 1459.92009
Nirmala, V. J.; Saravanakumar, T.; Zhu, Quanxin
2019
Bifurcation, chaos analysis and control in a discrete-time predator-prey system. Zbl 1458.37102
Liu, Weiyi; Cai, Donghan
2019
Construction of positivity-preserving numerical method for stochastic SIVS epidemic model. Zbl 1458.65087
Li, Wenrui; Zhang, Qimin
2019
Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations. Zbl 1458.65136
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad
2019
Bifurcations of a two-dimensional discrete-time predator-prey model. Zbl 1458.39008
2019
Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps. Zbl 1460.34100
Ahmed, Hamdy M.; El-Borai, Mahmoud M.; Ramadan, M. Elsaid
2019
Finite-time cluster synchronization for time-varying delayed complex dynamical networks via hybrid control. Zbl 1458.34113
Xiao, Feng; Gan, Qintao; Yuan, Quan
2019
Existence results for nonlinear fractional boundary value problem involving generalized proportional derivative. Zbl 1458.34030
2019
On numerical techniques for solving the fractional logistic differential equation. Zbl 1414.39005
Yameni Noupoue, Yves Yannick; Tandoğdu, Yücel; Awadalla, Muath
2019
Dynamical analysis of a fractional SIRS model on homogenous networks. Zbl 1459.34015
El-Saka, H. A. A.; Arafa, A. A. M.; Gouda, M. I.
2019
Adaptive neural network backstepping control of fractional-order Chua-Hartley chaotic system. Zbl 1459.34026
Li, Guanjun; Sun, Chunxiang
2019
Modeling co-dynamics of pneumonia and meningitis diseases. Zbl 1459.92145
Tilahun, Getachew Teshome
2019
On a three step crisis integro-differential equation. Zbl 1459.45005
2019
Existence and finite-time stability of solutions for a class of nonlinear fractional differential equations with time-varying delays and non-instantaneous impulses. Zbl 1459.34032
Luo, Danfeng; Luo, Zhiguo
2019
Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of mathematical physics. Zbl 1459.35326
Cao, Rui; Zhao, Qiulan; Gao, Lin
2019
A Caputo-Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment. Zbl 1459.92138
Moore, Elvin J.; Sirisubtawee, Sekson; Koonprasert, Sanoe
2019
Modified Saigo fractional integral operators involving multivariable $$H$$-function and general class of multivariable polynomials. Zbl 1459.26015
Suthar, D. L.; Debalkie, Belete; Andualem, Mitku
2019
Random attractors for Ginzburg-Landau equations driven by difference noise of a Wiener-like process. Zbl 1459.35349
Wang, Fengling; Li, Jia; Li, Yangrong
2019
An asymmetric information non-zero sum differential game of mean-field backward stochastic differential equation with applications. Zbl 1459.91011
Huang, Pengyan; Wang, Guangchen; Zhang, Huanjun
2019
Some identities on $$r$$-central factorial numbers and $$r$$-central Bell polynomials. Zbl 1459.11066
Kim, Dae San; Dolgy, Dmitry V.; Kim, Dojin; Kim, Taekyun
2019
$$(\omega ,c)$$-periodic solutions for time varying impulsive differential equations. Zbl 1459.34161
Wang, Jin Rong; Ren, Lulu; Zhou, Yong
2019
Stationary wave solutions for new developed two-waves’ fifth-order Korteweg-de Vries equation. Zbl 1459.35329
2019
Period-doubling and Neimark-Sacker bifurcations of plant-herbivore models. Zbl 1459.92155
Elsayed, E. M.; Din, Qamar
2019
Extended cubic B-splines in the numerical solution of time fractional telegraph equation. Zbl 1459.65193
Akram, Tayyaba; Abbas, Muhammad; Ismail, Ahmad Izani; Ali, Norhashidah Hj. M.; Baleanu, Dumitru
2019
A class of dynamic integral inequalities with mixed nonlinearities and their applications in partial dynamic systems. Zbl 1458.26043
Fan, Min; Tian, Yazhou; Meng, Fanwei
2019
The Kamenev type interval oscillation criteria of mixed nonlinear impulsive differential equations under variable delay effects. Zbl 1458.34119
Zhou, Xiaoliang; Liu, Changdong; Chen, Ruyun
2019
A class of Hilfer fractional stochastic differential equations and optimal controls. Zbl 1458.34025
Lv, Jingyun; Yang, Xiaoyuan
2019
Construction of $$(n+1)$$-dimensional dual-mode nonlinear equations: multiple shock wave solutions for $$(3+1)$$-dimensional dual-mode Gardner-type and KdV-type. Zbl 1458.35370
2019
On anisotropic parabolic equations with a nonlinear convection term depending on the spatial variable. Zbl 1458.35233
Zhan, Huashui
2019
Analysis of the fractional order dengue transmission model: a case study in Malaysia. Zbl 1458.92073
2019
Adaptive tracking control for a class of uncertain switched stochastic nonlinear systems. Zbl 1458.93137
Liu, Xikui; Li, Yanxin; Li, Yan
2019
Hybrid variational model based on alternating direction method for image restoration. Zbl 1458.94068
Zhu, Jianguang; Li, Kai; Hao, Binbin
2019
On the absence of global solutions for some $$q$$-difference inequalities. Zbl 1458.39006
Aydi, Hassen; Jleli, Mohamed; Samet, Bessem
2019
Random exponential attractor for second order non-autonomous stochastic lattice dynamical systems with multiplicative white noise in weighted spaces. Zbl 1458.37080
Su, Haijuan; Zhou, Shengfan; Wu, Luyao
2019
Existence and uniqueness of solution for Sturm-Liouville fractional differential equation with multi-point boundary condition via Caputo derivative. Zbl 1458.34015
El-Sayed, Ahmed M. A.; Gaafar, Fatma M.
2019
Sliding-mode $${H_{\infty}}$$ synchronization for complex dynamical network systems with Markovian jump parameters and time-varying delays. Zbl 1458.93236
Ma, Nannan; Liu, Zhibin; Chen, Lin
2019
Existence and asymptotic stability of periodic solutions for impulsive delay evolution equations. Zbl 1458.34124
Li, Qiang; Wei, Mei
2019
Variance-constrained filtering for nonlinear systems with randomly occurring quantized measurements: recursive scheme and boundedness analysis. Zbl 1458.93249
Jia, Chaoqing; Hu, Jun
2019
Analytic approach to explore dynamical osteoporotic bone turnover. Zbl 1458.37100
Javed, Sana; Younas, Muhammad; Bhatti, M. Yousaf; Sohail, Ayesha; Sattar, Abdul
2019
Representations of general solutions to some classes of nonlinear difference equations. Zbl 1458.39001
Stević, Stevo; Iričanin, Bratislav; Kosmala, Witold
2019
Oscillation and nonoscillation for Caputo-Hadamard impulsive fractional differential inclusions. Zbl 1458.34133
Benchohra, Mouffak; Hamani, Samira; Zhou, Yong
2019
Dynamics of a diffusive Leslie-Gower predator-prey system with ratio-dependent Holling III functional response. Zbl 1458.37093
Chang, Xiaoyuan; Zhang, Jimin
2019
Numerical solutions of neutral stochastic functional differential equations with Markovian switching. Zbl 1458.65009
Hu, Yuru; Chen, Huabin; Yuan, Chenggui
2019
Stability analysis of fractional-order linear system with time delay described by the Caputo-fabrizio derivative. Zbl 1414.39004
Li, Hong; Zhong, Shou-ming; Cheng, Jun; Li, Hou-biao
2019
Developing CRS iterative methods for periodic Sylvester matrix equation. Zbl 1458.65045
Chen, Linjie; Ma, Changfeng
2019
Some new solutions of the Caudrey-Dodd-Gibbon (CDG) equation using the conformable derivative. Zbl 1458.35366
Bibi, Sadaf; Ahmed, Naveed; Faisal, Imran; Mohyud-Din, Syed Tauseef; Rafiq, Muhammad; Khan, Umar
2019
Survey of duality between linear quadratic regulation and linear estimation problems for discrete-time systems. Zbl 1458.93161
Song, Xinmin; Yan, Xuehua; Li, Xiaodi
2019
Neimark-Sacker bifurcation and stability analysis of a discrete-time prey-predator model with allee effect in prey. Zbl 1458.37101
Kangalgil, Figen
2019
On a coupled system of fractional differential equations with nonlocal non-separated boundary conditions. Zbl 1458.34029
Rao, Sabbavarapu Nageswara; Alesemi, Meshari
2019
Hopf bifurcation analysis in a predator-prey model with time delay and food subsidies. Zbl 1458.37097
Guo, Yuxiao; Ji, Nannan; Niu, Ben
2019
Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds. Zbl 1459.33008
Kim, Taekyun; Kim, Dae San; Dolgy, Dmitry V.; Kim, Dojin
2019
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