Existence results for fractional neutral integro-differential equations with state-dependent delay

被引：80
|
作者：
Carvalho dos Santos, Jose Paulo [1 ]
Arjunan, M. Mallika [2 ]
Cuevas, Claudio [3 ]
机构：
[1] Univ Fed Alfenas, Inst Ciencias Exatas, BR-37130000 Alfenas, MG, Brazil
[2] Karunya Univ, Dept Math, Coimbatore 641114, Tamil Nadu, India
[3] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 03期
关键词：
Integro-differential equations; Neutral equations; State-dependent delay; Caputo derivative; FUNCTIONAL-DIFFERENTIAL EQUATIONS; PERIODIC-SOLUTIONS; UNIQUENESS;
D O I：
10.1016/j.camwa.2011.03.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the existence of mild solutions for a class of abstract fractional neutral integro-differential equations with state-dependent delay. The results are obtained by using the Leray-Schauder alternative fixed point theorem. An example is provided to illustrate the main results. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1275 / 1283
页数：9
相关论文
共 50 条
  • [41] Existence and controllability of second-order neutral impulsive stochastic evolution integro-differential equations with state-dependent delay
    Huang, Hao
    Wu, Zheng
    Hu, Ling
    Wei, Zhangzhi
    Wang, Lianglong
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
  • [42] Existence result for fractional neutral stochastic integro-differential equations with infinite delay
    Cui, Jing
    Yan, Litan
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (33)
  • [43] CONTROLLABILITY RESULTS FOR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
    Bensalem, Abdelhamid
    Salim, Abdelkrim
    Benchohra, Mouffak
    Nieto, Juan J.
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2023, 12 (06): : 1559 - 1576
  • [44] On fractional integro-differential inclusions with state-dependent delay in Banach spaces
    Benchohra, Mouffak
    Litimein, Sara
    N'Guerekata, Gaston
    APPLICABLE ANALYSIS, 2013, 92 (02) : 335 - 350
  • [45] Existence Results for Impulsive Neutral Functional Differential Equations With State-Dependent Delay
    Arjunan, M. Mallika
    Kavitha, V.
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (26) : 1 - 13
  • [46] Global Existence Results for Neutral Functional Differential Equations with State-Dependent Delay
    Benchohra M.
    Medjadj I.
    Differential Equations and Dynamical Systems, 2016, 24 (2) : 189 - 200
  • [47] EXISTENCE RESULTS FOR IMPULSIVE NEUTRAL EVOLUTION DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
    Wensheng Li(Dept. of Basic Courses
    Annals of Applied Mathematics, 2011, (01) : 36 - 47
  • [48] Existence results for partial neutral functional differential equations with state-dependent delay
    Morales, Eduardo Hernandez
    McKibben, Mark A.
    Henriquez, Hernan R.
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (5-6) : 1260 - 1267
  • [49] 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
  • [50] Existence results for a coupled system of fractional integro-differential equations with time-dependent delay
    Kazem Nouri
    Marjan Nazari
    Bagher Keramati
    Journal of Fixed Point Theory and Applications, 2017, 19 : 2927 - 2943
12345