Measure of noncompactness and fractional integro-differential equations with state-dependent nonlocal conditions in Frechet spaces

被引：9

作者：

Benchohra, Mouffak ^{[1
,2
]}

Bouteffal, Zohra ^{[3
]}

Henderson, Johnny ^{[4
]}

Litimein, Sara ^{[1
]}

机构：

[1] Djillali Liabes Univ Sidi Bel Abbes, Math Lab, POB 89, Sidi Bel Abbes 22000, Algeria

[2] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

[3] Mustapha Stambouli Univ Mascara, Fac Exact Sci, Dept Math, POB 305, Mascara 29000, Algeria

[4] Baylor Univ, Dept Math, Waco, TX 76798 USA

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 01期

关键词：

fractional integro-differential equations; solution operator; mild solution; fixed point; state-dependent nonlocal condition; measure of noncompactness; Frechet space; MILD SOLUTIONS; EXISTENCE;

D O I：

10.3934/math.2020002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence of mild solutions for non-linear fractional integro-differential equations with state-dependent nonlocal conditions. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces associated with the concept of measures of noncompactness. An application of the main result has been included.

引用

页码：15 / 25

页数：11

共 50 条

[21] Semilinear Neutral Fractional Stochastic Integro-Differential Equations with Nonlocal Conditions
Ahmed, Hamdy M.
JOURNAL OF THEORETICAL PROBABILITY, 2015, 28 (02) : 667 - 680
[22] On Semilinear Integro-Differential Equations with Nonlocal Conditions in Banach Spaces
Tran Dinh Ke
Obukhovskii, Valeri
Wong, Ngai-Ching
Yao, Jen-Chih
ABSTRACT AND APPLIED ANALYSIS, 2012,
[23] Exponential stability of impulsive fractional neutral stochastic integro-differential equations with nonlocal conditions
Dhanalakshmi, K.
Balasubramaniam, P.
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2023, : 1260 - 1293
[24] Fractional Neutral Integro-Differential Equations with Nonlocal Initial Conditions
Yuan, Zhiyuan
Wang, Luyao
He, Wenchang
Cai, Ning
Mu, Jia
MATHEMATICS, 2024, 12 (12)
[25] Neutral multivalued integro-differential evolution equations with infinite state-dependent delay
Mebarki, Abdelaziz
Baghli-Bendimerad, Selma
TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (06) : 2312 - 2329
[26] Non-Instantaneous Impulsive Fractional Integro-Differential Equations with State-Dependent Delay br
Benkhettou, Nadia
Salim, Abdelkrim
Aissani, Khalida
Benchohra, Mouffak
Karapinar, Erdal
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2022, 19 (03): : 93 - 109
[27] Measure of Noncompactness and Semilinear Nonlocal Functional Differential Equations in Banach Spaces
Dong, Qi Xiang
Li, Gang
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (01) : 140 - 150
[28] Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces
Xue, Xingmei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (07) : 2593 - 2601
[29] Abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm
Wang, Rong-Nian
Liu, Jun
Chen, De-Han
ADVANCES IN DIFFERENCE EQUATIONS, 2011,
[30] EXISTENCE, UNIQUENESS AND REGULARITY OF SOLUTIONS FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
Liang, Yixing
Fan, Zhenbin
Li, Gang
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (02): : 623 - 641

← 1 2 3 4 5 →