Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition

被引：0
|
作者：
Adel Lachouri
Mohammed S. Abdo
Abdelouaheb Ardjouni
Bahaaeldin Abdalla
Thabet Abdeljawad
机构：
[1] Annaba University,Department of Mathematics
[2] Hodeidah University,Department of Mathematics
[3] University of Souk Ahras,Department of Mathematics and Informatics
[4] Prince Sultan University,Department of Mathematics and General Sciences
[5] China Medical University,Department of Medical Research
[6] Asia University,Department of Computer Science and Information Engineering
来源：
Advances in Difference Equations | / 2021卷
关键词：
Fractional inclusion problem; Hilfer and Erdélyi–Kober fractional operators; Existence; Fractional integral boundary conditions; Convex; Nonconvex; Fixed point theorems; 34A08; 34A12; 34B15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we debate the existence of solutions for a nonlinear Hilfer fractional differential inclusion with nonlocal Erdélyi–Kober fractional integral boundary conditions (FIBC). Both cases of convex- and nonconvex-valued right-hand side are considered. Our obtained results are new in the framework of Hilfer fractional derivative and Erdélyi–Kober fractional integral with FIBC via the fixed point theorems (FPTs) for a set-valued analysis. Some pertinent examples demonstrating the effectiveness of the theoretical results are presented.
引用
收藏
相关论文
共 50 条
  • [31] On fractional differential inclusions with anti-periodic type integral boundary conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    BOUNDARY VALUE PROBLEMS, 2013,
  • [32] On the Generalized Hilfer Fractional Coupled Integro-Differential Systems with Multi-Point Ordinary and Fractional Integral Boundary Conditions
    Sudprasert, Chayapat
    Ntouyas, Sotiris K.
    Ahmad, Bashir
    Samadi, Ayub
    Tariboon, Jessada
    AXIOMS, 2024, 13 (01)
  • [33] Boundary Value Problems for Riemann-Liouville Fractional Differential Inclusions with Nonlocal Hadamard Fractional Integral Conditions
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    Sudsutad, Weerawat
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 939 - 954
  • [34] Fractional differential inclusions with fractional separated boundary conditions
    Bashir Ahmad
    Sotiris K. Ntouyas
    Fractional Calculus and Applied Analysis, 2012, 15 : 362 - 382
  • [35] On a fractional differential inclusion via a new integral boundary condition
    Ghorbanian, R.
    Hedayati, Vahid
    Postolache, Mihai
    Rezapour, Shahram
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014, : 1 - 20
  • [36] Existence results for fractional differential inclusions with multi-point and fractional integral boundary conditions
    Tariboon, Jessada
    Sitthiwirattham, Thanin
    Ntouyas, Sotiris K.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 17 (02) : 343 - 360
  • [37] GENERALIZED FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS EQUIPPED WITH NONLOCAL GENERALIZED FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
    Ntouyas, Sotiris K.
    Ahmad, Bashir
    Alghanmi, Madeaha
    Alsaedi, Ahmed
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (2B) : 1051 - 1073
  • [38] Fractional Functional Impulsive Differential Equation with Integral Boundary Condition
    Gupta, Vidushi
    Dabas, Jaydev
    MATHEMATICAL ANALYSIS AND ITS APPLICATIONS, 2015, 143 : 417 - 428
  • [39] An existence result for fractional differential inclusions with nonlinear integral boundary conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [40] On the existence of solutions for fractional differential inclusions with sum and integral boundary conditions
    Ntouyas, Sotiris K.
    Etemad, Sina
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 : 235 - 243
12345