Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces

被引：59

作者：

Aghajani, Asadollah ^{[1
]}

Pourhadi, Ehsan ^{[1
]}

Trujillo, Juan J. ^{[2
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran

[2] Univ La Laguna, Dept Anal Matemat, Tenerife 38271, Spain

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2013年 / 16卷 / 04期

关键词：

fixed point; measure of noncompactness; fractional differential equation; BOUNDARY-VALUE-PROBLEMS; EXISTENCE; CALCULUS;

D O I：

10.2478/s13540-013-0059-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to study the existence of solutions of a Cauchy type problem for a nonlinear fractional differential equation, via the techniques of measure of noncompactness. The investigation is based on a new fixed point result which is a generalization of the well known Darbo's fixed point theorem. The main result is less restrictive than those given in the literature. Some illustrative examples are given.

引用

页码：962 / 977

页数：16

共 50 条

[31] Caputo-Hadamard fractional differential Cauchy problem in Frechet spaces
Abbas, Said
Benchohra, Mouffak
Berhoun, Farida
Henderson, Johnny
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (03) : 2335 - 2344
[32] Differential Equations and Inclusions of Fractional Order with Impulse Effects in Banach Spaces
Ibrahim, Ahmed Gamal
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (01) : 69 - 109
[33] ABSTRACT CAUCHY PROBLEM FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Zhou, Yong
Jiao, Feng
Pecaric, Josip
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2013, 42 (01) : 119 - 136
[34] Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations
Mahnaz Khanehgir
Reza Allahyari
Nayereh Gholamian
Mathematical Sciences, 2018, 12 : 17 - 24
[35] PROPERTIES ON MEASURE PSEUDO ALMOST AUTOMORPHIC FUNCTIONS AND APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
Chang, Yong-Kui
Feng, Tian-Wei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[36] Controllability of ψ-Hilfer fractional differential equations with infinite delay via measure of noncompactness
Haque, Inzamamul
Ali, Javid
Nieto, Juan J.
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2024, 29 (02): : 379 - 399
[37] Application of Measure of Noncompactness to Infinite Systems of Differential Equations
Mursaleen, M.
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2013, 56 (02): : 388 - 394
[38] EXISTENCE OF SOLUTIONS OF FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS VIA MEASURE OF NONCOMPACTNESS
Das, Anupam
Hazarika, Bipan
Abbas, Syed
Nashine, Hemant kumar
Deep, Amar
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2024, 54 (02) : 439 - 449
[39] Boundary Value Problem for ψ-Caputo Fractional Differential Equations in Banach Spaces via Densifiability Techniques
Derbazi, Choukri
Baitiche, Zidane
Benchohra, Mouffak
Zhou, Yong
MATHEMATICS, 2022, 10 (01)
[40] NONLOCAL FRACTIONAL SEMILINEAR DIFFERENTIAL EQUATIONS IN SEPARABLE BANACH SPACES
Li, Kexue
Peng, Jigen
Gao, Jinghuai
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,

← 1 2 3 4 5 →