Existence and attractivity results for ψ-Hilfer hybrid fractional differential equations

被引：2

作者：

Bachir, Fatima Si ^{[1
]}

Abbas, Said ^{[2
]}

Benbachir, Maamar ^{[3
]}

Benchohra, Mouffak ^{[4
]}

N'Guerekata, Gaston M. ^{[5
]}

机构：

[1] Univ Ghardaia, Lab Math & Appl Sci, Bounoura 47000, Algeria

[2] Univ Saida Dr Moulay Tahar, Dept Math, POB 138, Saida 20000, Algeria

[3] Univ Blida, Dept Math, Saad Dahtab Blida1, Blida, Algeria

[4] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes N000, Algeria

[5] Morgan State Univ, Dept Math, NEERLab, 1700 E Cold Spring Lane, Baltimore, MD 21252 USA

来源：

CUBO-A MATHEMATICAL JOURNAL | 2021年 / 23卷 / 01期

关键词：

psi-Hilfer fractional derivative; Schauder fixed-point Theorem; uniformly locally attractive; BOUNDARY-VALUE PROBLEM; STABILITY;

D O I：

10.4067/S0719-06462021000100145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we present some results on the existence of attractive solutions of fractional differential equations of the psi-Hilfer hybrid type. The results on the existence of solutions are a consequence of the Schauder fixed point theorem. Next, we prove that all solutions are uniformly locally attractive.

引用

页码：145 / 159

页数：15

共 50 条

[1] Existence and Attractivity Results for Hilfer Fractional Differential Equations
Abbas S.
Benchohra M.
Henderson J.
Journal of Mathematical Sciences, 2019, 243 (3) : 347 - 357
[2] On Existence and Attractivity of ψ-Hilfer Hybrid Fractional-order Langevin Differential Equations
Rathee, Savita
Narwal, Yogeeta
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
[3] ATTRACTIVITY FOR DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER AND ψ-HILFER TYPE
Sousa, J. Vanterler da C.
Benchohra, Mouffak
N'Guerekata, Gaston M.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020, 23 (04) : 1188 - 1207
[4] Attractivity for Differential Equations of Fractional order and ψ-Hilfer Type
J. Vanterler da C. Sousa
Mouffak Benchohra
Gaston M. N’Guérékata
Fractional Calculus and Applied Analysis, 2020, 23 : 1188 - 1207
[5] Existence results for BVP of a class of Hilfer fractional differential equations
Zhuoyan Gao
Xiulan Yu
Journal of Applied Mathematics and Computing, 2018, 56 : 217 - 233
[6] Existence results for BVP of a class of Hilfer fractional differential equations
Gao, Zhuoyan
Yu, Xiulan
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 56 (1-2) : 217 - 233
[7] Existence Results for Hilfer Fractional Differential Equations with Variable Coefficient
Li, Fang
Wang, Chenglong
Wang, Huiwen
FRACTAL AND FRACTIONAL, 2022, 6 (01)
[8] EXISTENCE RESULTS OF HILFER INTEGRO-DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER
Subashini, Ramasamy
Ravichandran, Chokkalingam
Jothimani, Kasthurisamy
Baskonus, Haci Mehmet
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (03): : 911 - 923
[9] Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions
Kiataramkul, Chanakarn
Ntouyas, Sotiris K.
Tariboon, Jessada
ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
[10] Existence and attractivity theorems for nonlinear hybrid fractional differential equations with anticipation and retardation
Dhage B.C.
Journal of Nonlinear Functional Analysis, 2020, 2020 (01):

← 1 2 3 4 5 →