Implicit Caputo Tempered Fractional Differential Boundary Value Problems with Infinite Delay in Banach Spaces

被引:0
|
作者
Rahou, W. [1 ]
Salim, A. [2 ]
Lazreg, J. E. [3 ]
Benchohra, M. [3 ]
机构
[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[2] Hassiba Benbouali Univ Chlef, Fac Technol, Math, POB 151, Chlef 02000, Algeria
[3] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, Math, POB 89, Sidi Bel Abbes 22000, Algeria
关键词
Caputo tempered fractional derivative; implicit boundary problem; existence; fixed point; measure of noncompactness; infinite delay; Ulam stability; EQUATIONS; STABILITY; EXISTENCE;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this article is to study the existence and Ulam-Hyers stability results for a class of boundary value problems with Caputo tempered fractional derivative and infinite delay. The results are based on Monch's fixed point theorem. An illustrative example is given to demonstrate the applicability of our results.
引用
收藏
页数:28
相关论文
共 50 条
  • [41] NONLINEAR BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL INCLUSIONS WITH CAPUTO FRACTIONAL DERIVATIVE
    Benchohra, Mouffak
    Hamani, Samira
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2008, 32 (01) : 115 - 130
  • [42] NONLINEAR SEQUENTIAL CAPUTO AND CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS IN BANACH SPACES
    Derbazi, Choukri
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (06): : 841 - 855
  • [43] ON PERIODIC PROBLEMS WITH NONLINEAR CAPUTO TEMPERED FRACTIONAL DIFFERENTIAL EQUATIONS
    Bouriah, Soufyane
    Salim, Abdelkrim
    Benchohra, Mouffak
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2024, 93 : 39 - 54
  • [44] Boundary value problems on half-line for functional differential equations with infinite delay in a Banach space
    Liu, YS
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (07) : 1695 - 1708
  • [45] Existence and stability results for fractional boundary value problems in Banach spaces
    Ganie, Abdul Hamid
    Houas, Mohamed
    Dhaniya, Sombir
    Kumar, Anoop
    Panjaiayan, Karthikeyan
    Karthikeyan, Kulandhaivel
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (03) : 2149 - 2167
  • [46] A study on the existence results of boundary value problems of fractional relaxation integro-differential equations with impulsive and delay conditions in Banach spaces
    Chasreechai, Saowaluck
    Poornima, Sadhasivam
    Karthikeyann, Panjaiyan
    Karthikeyan, Kulandhaivel
    Kumar, Anoop
    Kaushik, Kirti
    Sitthiwirattham, Thanin
    AIMS MATHEMATICS, 2024, 9 (05): : 11468 - 11485
  • [47] CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
    Abbas, Said
    Benchohra, Mouffak
    Hamidi, Naima
    Henderson, Johnny
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (04) : 1027 - 1045
  • [48] Caputo-Hadamard Fractional Differential Equations in Banach Spaces
    Saïd Abbas
    Mouffak Benchohra
    Naima Hamidi
    Johnny Henderson
    Fractional Calculus and Applied Analysis, 2018, 21 : 1027 - 1045
  • [49] Implicit Caputo-Fabrizio fractional differential equations with delay
    Krim, Salim
    Abbas, Said
    Benchohra, Mouffak
    Nieto, Juan J.
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2023, 68 (04): : 727 - 742
  • [50] Caputo-Hadamard implicit fractional differential equations with delay
    Salim Krim
    Saïd Abbas
    Mouffak Benchohra
    São Paulo Journal of Mathematical Sciences, 2021, 15 : 463 - 484