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.
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### Citations contained in zbMATH Open

3,182 Publications have been cited 18,784 times in 11,599 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
Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002
2012
Multiple positive solutions of singular discrete $$p$$-Laplacian problems via variational methods. Zbl 1098.39001
Agarwal, Ravi P.; Perera, Kanishka; O’Regan, Donal
2005
On the generalized Apostol-type Frobenius-Euler polynomials. Zbl 1365.05013
Kurt, Burak; Simsek, Yilmaz
2013
On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations. Zbl 1422.34019
Aydogan, S. Melike; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram
2017
On Caputo modification of the Hadamard fractional derivatives. Zbl 1343.26002
2014
On a new class of fractional operators. Zbl 1422.26004
2017
Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211
2016
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
Quantum calculus on finite intervals and applications to impulsive difference equations. Zbl 1391.39017
2013
On a fractional order Ebola epidemic model. Zbl 1344.92150
Area, Ivan; Batarfi, Hanan; Losada, Jorge; Nieto, Juan J.; Shammakh, Wafa; Torres, Ángela
2015
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
Some results on difference polynomials sharing values. Zbl 1291.30210
Liu, Yong; Qi, Xiaoguang; Yi, Hongxun
2012
Forced oscillation of nonlinear fractional differential equations with damping term. Zbl 1350.34016
Yang, Jichen; Liu, Anping; Liu, Ting
2015
Unique solutions for a new coupled system of fractional differential equations. Zbl 1445.34030
Zhai, Chengbo; Jiang, Ruiting
2018
Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations. Zbl 1422.35169
Qiu, Meilan; Mei, Liquan; Yang, Ganshang
2017
A new fractional model for giving up smoking dynamics. Zbl 1422.34062
Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru
2017
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
The twisted Daehee numbers and polynomials. Zbl 1417.11019
Park, Jin-Woo; Rim, Seog-Hoon; Kwon, Jongkyum
2014
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
2012
Dual identities in fractional difference calculus within Riemann. Zbl 1369.39015
2013
Multiple periodic solutions for a discrete time model of plankton allelopathy. Zbl 1134.39008
Zhang, Jianbao; Fang, Hui
2006
Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048
2017
Extinction for a discrete competition system with the effect of toxic substances. Zbl 1418.92147
Yue, Qin
2016
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
Hyers-Ulam stability of the linear recurrence with constant coefficients. Zbl 1095.39024
Popa, Dorian
2005
New concepts of fractional quantum calculus and applications to impulsive fractional $$q$$-difference equations. Zbl 1346.39012
Tariboon, Jessada; Ntouyas, Sotiris; Agarwal, Praveen
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 1446.34009
Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram
2018
A shifted Legendre spectral method for fractional-order multi-point boundary value problems. Zbl 1280.65074
Bhrawy, Ali H.; Al-Shomrani, Mohammed M.
2012
Optimal harvesting control and dynamics of two-species stochastic model with delays. Zbl 1422.34237
Liu, Lidan; Meng, Xinzhu
2017
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
Existence results for nonlinear fractional difference equation. Zbl 1207.39012
Chen, Fulai; Luo, Xiannan; Zhou, Yong
2011
Basic properties of Sobolev’s spaces on time scales. Zbl 1139.39022
Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
2006
A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel. Zbl 1448.65062
Baleanu, D.; Shiri, B.; Srivastava, H. M.; Al Qurashi, M.
2018
Riemann zeta fractional derivative-functional equation and link with primes. Zbl 1459.26011
Guariglia, Emanuel
2019
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
Fractional operators with exponential kernels and a Lyapunov type inequality. Zbl 1444.26003
2017
On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2018
A generalized Lyapunov-type inequality in the frame of conformable derivatives. Zbl 1444.34045
2017
Multiple solutions of a $$p$$-Laplacian model involving a fractional derivative. Zbl 1390.34059
Liu, Xiping; Jia, Mei; Ge, Weigao
2013
Connections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces. Zbl 1419.39038
2016
A Jacobi operational matrix for solving a fuzzy linear fractional differential equation. Zbl 1380.34004
Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru
2013
Existence of periodic and subharmonic solutions for second-order $$p$$-Laplacian difference equations. Zbl 1148.39002
Chen, Peng; Fang, Hui
2007
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
On a three step crisis integro-differential equation. Zbl 1459.45005
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
Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions. Zbl 1343.34021
Rong, Ji; Bai, Chuanzhi
2015
Statistical approximation by Kantorovich-type discrete $$q$$-beta operators. Zbl 1391.41008
Mishra, Vishnu; Khatri, Kejal; Mishra, Lakshmi
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
Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations. Zbl 1459.35383
2019
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
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
Global dynamics of a delayed chemostat model with harvest by impulsive flocculant input. Zbl 1422.92139
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu
2017
Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials. Zbl 1444.34091
2017
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
Analysis of the model of HIV-1 infection of $$CD4^+$$ T-cell with a new approach of fractional derivative. Zbl 1482.37090
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
2020
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
On the existence of solutions of a three steps crisis integro-differential equation. Zbl 1445.45011
2018
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
Positive solutions for a class of fractional 3-point boundary value problems at resonance. Zbl 1422.34065
Wang, Yongqing; Liu, Lishan
2017
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
Existence and nonexistence of positive solutions for the fractional coupled system involving generalized $$p$$-Laplacian. Zbl 1444.34019
Wang, Ying; Jiang, Jiqiang
2017
Positive solutions of fractional differential equations involving the Riemann-Stieltjes integral boundary condition. Zbl 1446.34040
Song, Qilin; Bai, Zhanbing
2018
On a nonlinear fractional differential equation on partially ordered metric spaces. Zbl 1380.34007
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
2013
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
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
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
Fractional differential equations for the generalized Mittag-Leffler function. Zbl 1445.34007
Agarwal, Praveen; Al-Mdallal, Qasem; Cho, Yeol Je; Jain, Shilpi
2018
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
Comparison and validation of integer and fractional order ultracapacitor models. Zbl 1268.34091
Dzieliński, Andrzej; Sarwas, Grzegorz; Sierociuk, Dominik
2011
Representation of solutions of linear discrete systems with constant coefficients and pure delay. Zbl 1139.39027
Diblík, J.; Khusainov, D. Ya.
2006
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
A semigroup-like property for discrete Mittag-Leffler functions. Zbl 1292.39001
2012
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
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
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
Stability of delayed HIV dynamics models with two latent reservoirs and immune impairment. Zbl 1448.92127
Elaiw, A. M.; Raezah, A. A.; Azoz, S. A.
2018
Existence results for fractional $$q$$-difference equations with nonlocal $$q$$-integral boundary conditions. Zbl 1380.39011
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2013
Boundary value problems for fractional differential equations with three-point fractional integral boundary conditions. Zbl 1293.34013
2012
Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. Zbl 1422.39027
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan
2016
On existence results for solutions of a coupled system of hybrid boundary value problems with hybrid conditions. Zbl 1422.34021
Baleanu, Dumitru; Khan, Hasib; Jafari, Hossein; Khan, Rahmat Ali; Alipour, Mohsen
2015
Approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert space. Zbl 1343.60080
Ahmed, Hamdy M.
2014
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
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
Global threshold dynamics of a stochastic epidemic model incorporating media coverage. Zbl 1448.92360
Yang, Bin; Cai, Yongli; Wang, Kai; Wang, Weiming
2018
On fractional derivatives with generalized Mittag-Leffler kernels. Zbl 1448.33019
2018
Three solutions to Dirichlet boundary value problems for $$p$$-Laplacian difference equations. Zbl 1146.39028
Jiang, Liqun; Zhou, Zhan
2008
Stability of an additive-cubic-quartic functional equation. Zbl 1196.39015
Eshaghi Gordji, M.; Kaboli-Gharetapeh, S.; Park, Choonkil; Zolfaghari, Somayyeh
2009
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
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
Dynamics of a fourth-order system of rational difference equations. Zbl 1377.39001
Din, Q.; Qureshi, M. N.; Khan, A.
2012
Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with $$p$$-Laplacian. Zbl 1365.34016
Lu, Hongling; Han, Zhenlai; Sun, Shurong; Liu, Jian
2013
Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique. Zbl 1422.34016
Akgül, Ali; Inc, Mustafa; Karatas, Esra; Baleanu, Dumitru
2015
Global dynamics of a state-dependent feedback control system. Zbl 1422.34093
Tang, Sanyi; Pang, Wenhong; Cheke, Robert A.; Wu, Jianhong
2015
Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular. Zbl 1419.35220
Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Baleanu, Dumitru; Escobar-Jimenez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo
2016
HIV/HCV coinfection model: a fractional-order perspective for the effect of the HIV viral load. Zbl 1445.92266
Carvalho, Ana R. M.; Pinto, Carla M. A.; Baleanu, Dumitru
2018
Application of stochastic inequalities to global analysis of a nonlinear stochastic SIRS epidemic model with saturated treatment function. Zbl 1445.92287
Zhang, Shengqiang; Meng, Xinzhu; Wang, Xinzeng
2018
Investigation of the $$p$$-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives. Zbl 1487.34028
Matar, M. M.; Abbas, M. I.; Alzabut, J.; Kaabar, M. K. A.; Etemad, S.; Rezapour, S.
2021
The influence of an infectious disease on a prey-predator model equipped with a fractional-order derivative. Zbl 1485.92085
2021
On fractional boundary value problems involving fractional derivatives with Mittag-Leffler kernel and nonlinear integral conditions. Zbl 1485.34014
Abdo, Mohammed S.; Abdeljawad, Thabet; Ali, Saeed M.; Shah, Kamal
2021
New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions. Zbl 1487.26060
Ali, Muhammad Aamir; Abbas, Mujahid; Budak, Hüseyin; Agarwal, Praveen; Murtaza, Ghulam; Chu, Yu-Ming
2021
Quantum Hermite-Hadamard-type inequalities for functions with convex absolute values of second $$q^b$$-derivatives. Zbl 1485.26029
Ali, Muhammad Aamir; Budak, Hüseyin; Abbas, Mujahid; Chu, Yu-Ming
2021
An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations. Zbl 1487.65162
Ali, Ihteram; Haq, Sirajul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru
2021
Some new exact solutions of $$(3+1)$$-dimensional Burgers system via Lie symmetry analysis. Zbl 1487.35021
Alimirzaluo, Elnaz; Nadjafikhah, Mehdi; Manafian, Jalil
2021
Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative. Zbl 1485.92108
Ahmad, Saeed; Ullah, Rafi; Baleanu, Dumitru
2021
Time delay induced Hopf bifurcation in a diffusive predator-prey model with prey toxicity. Zbl 1487.92029
Yang, Ruizhi; Ma, Yuxin; Zhang, Chiyu
2021
On nonlinear pantograph fractional differential equations with Atangana-Baleanu-Caputo derivative. Zbl 1487.34146
Abdo, Mohammed S.; Abdeljawad, Thabet; Kucche, Kishor D.; Alqudah, Manar A.; Ali, Saeed M.; Jeelani, Mdi Begum
2021
Stability analysis of five-grade Leishmania epidemic model with harmonic mean-type incidence rate. Zbl 1487.92045
Khan, Karim; Zarin, Rahat; Khan, Amir; Yusuf, Abdullahi; Al-Shomrani, Mohammed; Ullah, Arif
2021
Oscillation of nonlinear third-order difference equations with mixed neutral terms. Zbl 1485.39020
Alzabut, Jehad; Bohner, Martin; Grace, Said R.
2021
Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes. Zbl 1485.40007
Saker, S. H.; Rabie, S. S.; Alzabut, Jehad; O&rsquo;Regan, D.; Agarwal, R. P.
2021
Dynamical system of the growth of COVID-19 with controller. Zbl 1485.92133
Ibrahim, Rabha W.; Altulea, Dania; Elobaid, Rafida M.
2021
The $$q$$-Sumudu transform and its certain properties in a generalized $$q$$-calculus theory. Zbl 1486.44005
Al-Omari, Shrideh Khalaf
2021
Approximation of functions by a class of Durrmeyer-Stancu type operators which includes Euler’s beta function. Zbl 1485.41009
Alotaibi, Abdullah; Özger, Faruk; Mohiuddine, S. A.; Alghamdi, Mohammed A.
2021
Fuzzy stochastic differential equations driven by fractional Brownian motion. Zbl 1485.60054
Jafari, Hossein; Malinowski, Marek T.; Ebadi, M. J.
2021
On the weighted fractional integral inequalities for Chebyshev functionals. Zbl 1485.26048
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Khan, Sami Ullah; Baleanu, Dumitru; Vijayakumar, V.
2021
Hyers-Ulam stability of second-order differential equations using Mahgoub transform. Zbl 1485.34181
Raj Aruldass, Antony; Pachaiyappan, Divyakumari; Park, Choonkil
2021
Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables. Zbl 1485.26030
Ali, Muhammad Aamir; Chu, Yu-Ming; Budak, Hüseyin; Akkurt, Abdullah; Yıldırım, Hüseyin; Zahid, Manzoor Ahmed
2021
Dynamics of a class of host-parasitoid models with external stocking upon parasitoids. Zbl 1485.92079
2021
Uniqueness of the Hadamard-type integral equations. Zbl 1485.45002
Li, Chenkuan
2021
A fractional order mathematical model for COVID-19 dynamics with quarantine, isolation, and environmental viral load. Zbl 07575131
Aba Oud, Mohammed A.; Ali, Aatif; Alrabaiah, Hussam; Ullah, Saif; Khan, Muhammad Altaf; Islam, Saeed
2021
A new construction of Lupaş operators and its approximation properties. Zbl 1487.41035
Qasim, Mohd; Khan, Asif; Abbas, Zaheer; Cai, Qing-Bo
2021
Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables. Zbl 1487.30031
Xu, Hong Yan; Meng, Da Wei; Liu, Sanyang; Wang, Hua
2021
Dynamical analysis of a delayed food chain model with additive Allee effect. Zbl 1487.92025
Vinoth, S.; Sivasamy, R.; Sathiyanathan, K.; Rajchakit, Grienggrai; Hammachukiattikul, P.; Vadivel, R.; Gunasekaran, Nallappan
2021
Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions. Zbl 1487.34148
2021
On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems. Zbl 1487.35407
Karapinar, Erdal; Binh, Ho Duy; Luc, Nguyen Hoang; Can, Nguyen Huu
2021
Construction and analysis of unified 4-point interpolating nonstationary subdivision surfaces. Zbl 1487.65022
Bari, Mehwish; Mustafa, Ghulam; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru
2021
Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth. Zbl 1487.35106
Xie, Yongqin; Li, Jun; Zhu, Kaixuan
2021
General Raina fractional integral inequalities on coordinates of convex functions. Zbl 1487.26030
Baleanu, Dumitru; Kashuri, Artion; Mohammed, Pshtiwan Othman; Meftah, Badreddine
2021
An oscillation criterion of linear delay differential equations. Zbl 1487.34124
Chatzarakis, George E.; Dorociaková, Božena; Olach, Rudolf
2021
Study of composite fractional relaxation differential equation using fractional operators with and without singular kernels and special functions. Zbl 1489.34024
Zafar, Azhar Ali; Awrejcewicz, Jan; Mazur, Olga; Riaz, Muhammad Bilal
2021
Analysis of fractional multi-dimensional Navier-Stokes equation. Zbl 1487.76055
Chu, Yu-Ming; Ali Shah, Nehad; Agarwal, Praveen; Dong Chung, Jae
2021
Existence of chaos for partial difference equations via tangent and cotangent functions. Zbl 1485.39015
Guo, Haihong; Liang, Wei
2021
Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis. Zbl 1485.92109
Alqahtani, Rubayyi T.
2021
Convergence analysis of gradient-based iterative algorithms for a class of rectangular Sylvester matrix equations based on Banach contraction principle. Zbl 1485.65047
Kittisopaporn, Adisorn; Chansangiam, Pattrawut; Lewkeeratiyutkul, Wicharn
2021
A new efficient technique for solving modified Chua’s circuit model with a new fractional operator. Zbl 1485.34032
De la Sen, Manuel; Deniz, Sinan; Sözen, Hasan
2021
Existence and uniqueness of solutions for a class of fractional nonlinear boundary value problems under mild assumptions. Zbl 1485.34026
Bachar, Imed; Mâagli, Habib; Eltayeb, Hassan
2021
Reciprocity of poly-Dedekind-type DC sums involving poly-Euler functions. Zbl 1485.11084
Ma, Yuankui; Kim, Dae San; Lee, Hyunseok; Kim, Hanyoung; Kim, Taekyun
2021
Approximation of function using generalized Zygmund class. Zbl 1485.42001
Nigam, H. K.; Mursaleen, Mohammad; Rani, Supriya
2021
Construction of a new family of Fubini-type polynomials and its applications. Zbl 1485.11050
Srivastava, H. M.; Srivastava, Rekha; Muhyi, Abdulghani; Yasmin, Ghazala; Islahi, Hibah; Araci, Serkan
2021
Oscillation tests for first-order linear differential equations with non-monotone delays. Zbl 1485.34159
2021
Differential equations of even-order with $$p$$-Laplacian like operators: qualitative properties of the solutions. Zbl 07575121
Bazighifan, Omar; Abdeljawad, Thabet; Al-Mdallal, Qasem M.
2021
A fractional order HIV/AIDS epidemic model with Mittag-Leffler kernel. Zbl 07575132
Aslam, Muhammad; Murtaza, Rashid; Abdeljawad, Thabet; Rahman, Ghaus ur; Khan, Aziz; Khan, Hasib; Gulzar, Haseena
2021
A dynamic optimal control model for COVID-19 and cholera co-infection in Yemen. Zbl 07575133
Hezam, Ibrahim M.; Foul, Abdelaziz; Alrasheedi, Adel
2021
Mathematical analysis of a within-host model of SARS-CoV-2. Zbl 07575138
Nath, Bhagya Jyoti; Dehingia, Kaushik; Mishra, Vishnu Narayan; Chu, Yu-Ming; Sarmah, Hemanta Kumar
2021
Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function. Zbl 07575200
Kim, Taekyun; Kim, Dae San; Jang, Lee-Chae; Lee, Hyunseok; Kim, Hanyoung
2021
Nonexistence results of Caputo-type fractional problem. Zbl 07575271
Kassim, Mohammed D.; Ali, Saeed M.; Abdo, Mohammed S.; Jarad, Fahd
2021
Boundary value problems for Hilfer type sequential fractional differential equations and inclusions involving Riemann-Stieltjes integral multi-strip boundary conditions. Zbl 07575293
2021
A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system. Zbl 07575333
Baleanu, Dumitru; Zibaei, Sadegh; Namjoo, Mehran; Jajarmi, Amin
2021
Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order. Zbl 07575339
Van Bockstal, Karel
2021
Bodaghi, Abasalt; Moshtagh, Hossein; Dutta, Hemen
2021
Mathematical modeling and analysis of fractional-order brushless DC motor. Zbl 07575457
Zafar, Zain Ul Abadin; Ali, Nigar; Tunç, Cemil
2021
Qualitative analysis of a discrete-time phytoplankton-zooplankton model with Holling type-II response and toxicity. Zbl 07575472
Khan, Muhammad Salman; Samreen, Maria; Aydi, Hassen; de la Sen, Manuel
2021
On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation. Zbl 07575505
Shams, Mudassir; Rafiq, Naila; Kausar, Nasreen; Agarwal, Praveen; Park, Choonkil; Mir, Nazir Ahmad
2021
Analysis of the model of HIV-1 infection of $$CD4^+$$ T-cell with a new approach of fractional derivative. Zbl 1482.37090
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
2020
A discussion on the existence of positive solutions of the boundary value problems via $$\psi$$-Hilfer fractional derivative on $$b$$-metric spaces. Zbl 1486.34009
Afshari, Hojjat; Karapınar, Erdal
2020
The dynamics of COVID-19 with quarantined and isolation. Zbl 1486.92242
Khan, Muhammad Altaf; Atangana, Abdon; Alzahrani, Ebraheem; Fatmawati
2020
A new mathematical model for Zika virus transmission. Zbl 1486.92275
Rezapour, Shahram; Mohammadi, Hakimeh; Jajarmi, Amin
2020
Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations. Zbl 1486.34037
Salim, Abdelkrim; Benchohra, Mouffak; Karapınar, Erdal; Lazreg, Jamal Eddine
2020
$$\alpha$$-$$\psi$$-contractions and solutions of a $$q$$-fractional differential inclusion with three-point boundary value conditions via computational results. Zbl 1482.34022
2020
Quantum Hermite-Hadamard inequality by means of a Green function. Zbl 1482.26026
2020
Mathematical model of COVID-19 spread in Turkey and south Africa: theory, methods, and applications. Zbl 1485.92110
Atangana, Abdon; İğret Araz, Seda
2020
A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative. Zbl 1485.37075
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
2020
A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the rubella disease model. Zbl 1482.34017
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
2020
A discussion on a generalized Geraghty multi-valued mappings and applications. Zbl 1485.54041
Afshari, Hojjat; Atapour, Maryam; Karapınar, Erdal
2020
On a fractional hybrid multi-term integro-differential inclusion with four-point sum and integral boundary conditions. Zbl 1482.34016
Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram
2020
Dynamics of COVID-19 mathematical model with stochastic perturbation. Zbl 1486.92308
Zhang, Zizhen; Zeb, Anwar; Hussain, Sultan; Alzahrani, Ebraheem
2020
Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations. Zbl 1482.34184
Bedi, Pallavi; Kumar, Anoop; Abdeljawad, Thabet; Khan, Aziz
2020
Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative. Zbl 1487.94202
Alizadeh, Shahram; Baleanu, Dumitru; Rezapour, Shahram
2020
Two sequential fractional hybrid differential inclusions. Zbl 1485.34047
2020
A mathematical analysis of a system of Caputo-Fabrizio fractional differential equations for the anthrax disease model in animals. Zbl 1486.92273
2020
On Hyers-Ulam stability of a multi-order boundary value problems via Riemann-Liouville derivatives and integrals. Zbl 1486.34019
2020
Some oscillation theorems for nonlinear second-order differential equations with an advanced argument. Zbl 1482.34154
Chatzarakis, G. E.; Moaaz, O.; Li, T.; Qaraad, B.
2020
On the existence of solutions for fractional boundary value problems on the ethane graph. Zbl 1482.34020
2020
Ulam-Hyers stability of impulsive integrodifferential equations with Riemann-Liouville boundary conditions. Zbl 1487.34048
2020
Topological degree theory and Caputo-Hadamard fractional boundary value problems. Zbl 1485.34023
2020
On the mathematical model of Rabies by using the fractional Caputo-Fabrizio derivative. Zbl 1485.34025
Aydogan, Seher Melike; Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
2020
New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system. Zbl 1485.92129
Gao, Wei; Baskonus, Haci Mehmet; Shi, Li
2020
Existence and Ulam stability results of a coupled system for terminal value problems involving $$\psi$$-Hilfer fractional operator. Zbl 1485.34015
Abdo, Mohammed S.; Shah, Kamal; Panchal, Satish K.; Wahash, Hanan A.
2020
An inertial based forward-backward algorithm for monotone inclusion problems and split mixed equilibrium problems in Hilbert spaces. Zbl 07506557
2020
Some new Simpson-type inequalities for generalized $$p$$-convex function on fractal sets with applications. Zbl 1486.26033
Abdeljawad, Thabet; Rashid, Saima; Hammouch, Zakia; İşcan, İmdat; Chu, Yu-Ming
2020
Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel. Zbl 1483.54023
Afshari, Hojjat; Baleanu, Dumitru
2020
Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials. Zbl 1482.11031
Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum; Lee, Hyunseok
2020
A study of coupled systems of mixed order fractional differential equations and inclusions with coupled integral fractional boundary conditions. Zbl 1482.34031
Ntouyas, Sotiris K.; Al-Sulami, Hamed H.
2020
Finite-time synchronization criterion of graph theory perspective fractional-order coupled discontinuous neural networks. Zbl 1482.68214
Pratap, A.; Raja, R.; Cao, Jinde; Alzabut, J.; Huang, Chuangxia
2020
Dynamics analysis on a class of delayed neural networks involving inertial terms. Zbl 1482.34177
Zhang, Jian; Huang, Chuangxia
2020
Relations between fractional models with three-parameter Mittag-Leffler kernels. Zbl 1482.26007
Fernandez, Arran; Abdeljawad, Thabet; Baleanu, Dumitru
2020
Generation of new fractional inequalities via $$n$$ polynomials $$s$$-type convexity with applications. Zbl 1482.26038
Rashid, Saima; İşcan, İmdat; Baleanu, Dumitru; Chu, Yu-Ming
2020
New estimates considering the generalized proportional Hadamard fractional integral operators. Zbl 1482.45010
Zhou, Shuang-Shuang; Rashid, Saima; Jarad, Fahd; Kalsoom, Humaira; Chu, Yu-Ming
2020
Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel. Zbl 1485.35410
2020
A novel analytical technique to obtain the solitary solutions for nonlinear evolution equation of fractional order. Zbl 1485.35382
Ghaffar, Abdul; Ali, Ayyaz; Ahmed, Sarfaraz; Akram, Saima; Junjua, Moin-ud-Din; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy
2020
Some results on degenerate Daehee and Bernoulli numbers and polynomials. Zbl 1485.11046
Kim, Taekyun; Kim, Dae San; Kim, Han Young; Kwon, Jongkyum
2020
A new bound for the Jensen gap pertaining twice differentiable functions with applications. Zbl 1485.26040
2020
Some new local fractional inequalities associated with generalized $$(s,m)$$-convex functions and applications. Zbl 1486.26027
Abdeljawad, Thabet; Rashid, Saima; Hammouch, Zakia; Chu, Yu-Ming
2020
Dynamics of a fractional order mathematical model for COVID-19 epidemic. Zbl 1486.92307
Zhang, Zizhen; Zeb, Anwar; Egbelowo, Oluwaseun Francis; Erturk, Vedat Suat
2020
Some new Hardy-type inequalities on time scales. Zbl 1486.26066
El-Deeb, Ahmed A.; Elsennary, Hamza A.; Baleanu, Dumitru
2020
Application of Adomian decomposition method to nonlinear systems. Zbl 1482.65200
Li, Wenjin; Pang, Yanni
2020
Modification of certain fractional integral inequalities for convex functions. Zbl 1482.26022
2020
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