On hybrid Caputo fractional integro-differential inclusions with nonlocal conditions

被引:18
|
作者
Ahmad, Bashir [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
Tariboon, Jessada [3 ]
机构
[1] King Abdulaziz Univ, Dept Math, NAAM Res Grp, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece
[3] King Mongkuts Univ Technol North Bangkok, Nonlinear Dynam Anal Res Ctr, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand
来源
关键词
Caputo fractional derivative; integro-differential inclusion; hybrid boundary value problem; fixed point theorem; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXTREMAL SOLUTIONS; EXISTENCE;
D O I
10.22436/jnsa.009.06.65
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate the existence of solutions for a nonlocal hybrid boundary value problem of Caputo fractional integro-differential inclusions. A hybrid fixed point theorem of Schaefer type for a sum of three operators due to Dhage is applied to obtain the main result. The paper concludes with an illustrative example. (C) 2016 All rights reserved.
引用
收藏
页码:4235 / 4246
页数:12
相关论文
共 50 条
  • [1] A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
    Ahmad, Bashir
    Ntouyasi, Sotiris K.
    Tariboon, Jessada
    ACTA MATHEMATICA SCIENTIA, 2016, 36 (06) : 1631 - 1640
  • [2] A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
    Bashir AHMAD
    Sotiris K.NTOUYAS
    Jessada TARIBOON
    Acta Mathematica Scientia, 2016, (06) : 1631 - 1640
  • [3] Existence Theorems for Mixed Riemann-Liouville and Caputo Fractional Differential Equations and Inclusions with Nonlocal Fractional Integro-Differential Boundary Conditions
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    Ahmad, Bashir
    FRACTAL AND FRACTIONAL, 2019, 3 (02) : 1 - 20
  • [4] On fractional integro-differential inclusions via the extended fractional Caputo–Fabrizio derivation
    Dumitru Baleanu
    Shahram Rezapour
    Zohreh Saberpour
    Boundary Value Problems, 2019
  • [5] NONLINEAR NONLOCAL ψ-CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF SOBOLEV TYPE
    Liang, Jin
    Mu, Yunyi
    Xiao, Ti-jun
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [6] CAPUTO FRACTIONAL DIFFERENTIAL INCLUSIONS OF ARBITRARY ORDER WITH NONLOCAL INTEGRO-MULTIPOINT BOUNDARY CONDITIONS
    Ahmad, Bashir
    Garout, Doa'a
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    MISKOLC MATHEMATICAL NOTES, 2019, 20 (02) : 683 - 699
  • [7] Existence of solutions for sequential fractional integro-differential equations and inclusions with nonlocal boundary conditions
    Ahmad, Bashir
    Luca, Rodica
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 339 : 516 - 534
  • [8] MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH GENERALIZED NONLOCAL FRACTIONAL INTEGRO-DIFFERENTIAL BOUNDARY CONDITIONS
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    Alghanmi, Madeaha
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2018,
  • [9] NEW RESULTS ON CAPUTO FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
    Sharif, A. A.
    Hamoud, A. A.
    Hamood, M. M.
    Ghadle, K. P.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2025, 15 (02): : 459 - 472
  • [10] On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
    Baleanu, Dumitru
    Rezapour, Shahram
    Saberpour, Zohreh
    BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)