EXISTENCE OF SOLUTION FOR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS VIA TOPOLOGICAL DEGREE METHOD

被引：8

作者：

Faree, Taghareed A. ^{[1
,2
]}

Panchal, Satish K. ^{[1
]}

机构：

[1] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad, Maharashtra, India

[2] Taiz Univ, Fac Appl Sci, Dept Math, Taizi, Yemen

来源：

JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS | 2021年 / 25卷 / 01期

关键词：

Impulsive differential equations; Topological properties of mappings; Fixed point and coincidence theorems;

D O I：

10.12941/jksiam.2021.25.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is studied the existence of a solution for the impulsive Cauchy problem involving the Caputo fractional derivative in Banach space by using topological structures. We based on using topological degree method and fixed point theorem with some suitable conditions. Further, some topological properties for the set of solutions are considered. Finally, an example is presented to demonstrate our results.

引用

页码：16 / 25

页数：10

共 50 条

[41] EXISTENCE, UNIQUENESS AND STABILITY OF RANDOM IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
A.Vinodkumar
K.Malar
M.Gowrisankar
P.Mohankumar
Acta Mathematica Scientia, 2016, (02) : 428 - 442
[42] (ω,ρ)-BVP Solution of Impulsive Hadamard Fractional Differential Equations
Al-Omari, Ahmad
Al-Saadi, Hanan
MATHEMATICS, 2023, 11 (20)
[43] Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method
Atta Ullah
Kamal Shah
Thabet Abdeljawad
Rahmat Ali Khan
Ibrahim Mahariq
Boundary Value Problems, 2020
[44] Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method
Ullah, Atta
Shah, Kamal
Abdeljawad, Thabet
Khan, Rahmat Ali
Mahariq, Ibrahim
BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
[45] Existence of Solution for Impulsive Differential Equations with Nonlinear Derivative Dependence via Variational Methods
Yan, Lizhao
Liu, Jian
Luo, Zhiguo
ABSTRACT AND APPLIED ANALYSIS, 2013,
[46] Existence results for impulsive neutral differential and integrodifferential equations with nonlocal conditions via fractional operators
Chang, Y-K
Kavitha, V.
Arjunan, M. Mallika
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) : 32 - 43
[47] EXISTENCE RESULTS FOR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN VIA VARIATIONAL METHODS
Graef, John R.
Heidarkhani, Shapour
Kong, Lingju
Moradi, Shahin
MATHEMATICA BOHEMICA, 2022, 147 (01): : 95 - 112
[48] On the existence of the solution of Hammerstein integral equations and fractional differential equations
Mudasir Younis
Deepak Singh
Journal of Applied Mathematics and Computing, 2022, 68 : 1087 - 1105
[49] On the existence of the solution of Hammerstein integral equations and fractional differential equations
Younis, Mudasir
Singh, Deepak
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (02) : 1087 - 1105
[50] Existence Theory to a Coupled System of Higher Order Fractional Hybrid Differential Equations by Topological Degree Theory
Zada M.B.
Shah K.
Khan R.A.
International Journal of Applied and Computational Mathematics, 2018, 4 (4)

← 1 2 3 4 5 →