Solvability in Gevrey Classes of Some Nonlinear Fractional Functional Differential Equations

Gevrey Class ◽

Regularity Conditions ◽

Gevrey Classes ◽

Functional Differential ◽

Our purpose in this paper is to prove, under some regularity conditions on the data, the solvability in a Gevrey class of bound −1 on the interval −1,1 of a class of nonlinear fractional functional differential equations.

S-asymptotically periodic fractional functional differential equations with off-diagonal matrix Mittag-Leffler function kernels

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.10.006 ◽

2021 ◽

Author(s):

Tianwei Zhang ◽

Yongkun Li ◽

Jianwen Zhou

Keyword(s):

Differential Equations ◽

Diagonal Matrix ◽

Asymptotically Periodic ◽

Functional Differential ◽

On solutions for impulsive fractional functional differential equations

Differential Equations and Dynamical Systems ◽

10.1007/s12591-010-0060-4 ◽

2010 ◽

Author(s):

Fulai Chen ◽

Anping Chen ◽

Xiaoping Wang

Keyword(s):

Differential Equations ◽

Functional Differential ◽

Theory of fractional functional differential equations

Nonlinear Analysis ◽

10.1016/j.na.2007.09.025 ◽

2008 ◽

Vol 69 (10) ◽

pp. 3337-3343 ◽

Cited By ~ 300

Author(s):

V. Lakshmikantham

Keyword(s):

Differential Equations ◽

Functional Differential ◽

Neutral fuzzy fractional functional differential equations

Fuzzy Sets and Systems ◽

10.1016/j.fss.2020.10.003 ◽

2020 ◽

Author(s):

Nguyen Dinh Phu ◽

Vasile Lupulescu ◽

Ngo Van Hoa

Keyword(s):

Differential Equations ◽

Functional Differential ◽

Existence and stability of Hadamard p-type fractional functional differential equations

International Journal of Dynamical Systems and Differential Equations ◽

10.1504/ijdsde.2017.10004496 ◽

2017 ◽

Vol 7 (1) ◽

pp. 66

Author(s):

Haihua Wang

Keyword(s):

Differential Equations ◽

Existence And Stability ◽

Functional Differential ◽

P Type ◽

Impulsive fractional functional differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.12.054 ◽

2012 ◽

Vol 64 (10) ◽

pp. 3414-3424 ◽

Cited By ~ 28

Author(s):

Tian Liang Guo ◽

Wei Jiang

Keyword(s):

Differential Equations ◽

Functional Differential ◽

Attractivity for a k-dimensional system of fractional functional differential equations and global attractivity for a k-dimensional system of nonlinear fractional differential equations

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2014-31 ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 4

Author(s):

Dumitru Baleanu ◽

Sayyedeh Zahra Nazemi ◽

Shahram Rezapour

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Global Attractivity ◽

Dimensional System ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Functional Differential ◽

Fuzzy fractional functional differential equations under Caputo gH-differentiability

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.08.006 ◽

2015 ◽

Vol 22 (1-3) ◽

pp. 1134-1157 ◽

Cited By ~ 55

Author(s):

Ngo Van Hoa

Keyword(s):

Differential Equations ◽

Functional Differential ◽

Existence of positive solutions for boundary value problems of fractional functional differential equations

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2010.1.30 ◽

2010 ◽

pp. 1-14

Author(s):

Chuanzhi Bai

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

Existence Of Positive Solutions ◽

Functional Differential ◽

Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2020.109721 ◽

2020 ◽

Vol 134 ◽

pp. 109721 ◽

Cited By ~ 3

Author(s):

M.A. Abdelkawy ◽

António M. Lopes ◽

Mohammed M. Babatin

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Variable Order ◽

Functional Differential ◽

Jacobi Collocation Method ◽