Sequential fractional differential equations and inclusions with semi-periodic and nonlocal integro-multipoint boundary conditions

被引：26
作者：
Ahmad, Bashir [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
Alsaedi, Ahmed [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece
来源：
JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2019年 / 31卷 / 02期
关键词：
Sequential fractional differential equations; Inclusions; Semi-periodic; Integro-multipoint boundary conditions; Existence; Fixed point; APPROXIMATION; EXISTENCE;
D O I：
10.1016/j.jksus.2017.09.020
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper is concerned with the existence of solutions for Caputo type sequential fractional differential equations and inclusions supplemented with semi-periodic and nonlocal integro-multipoint boundary conditions involving Riemann-Liouville integral. We make use of standard fixed point theorems for single-valued and multivalued maps to obtain the desired results. Examples are constructed for the illustration of the main results. (C) 2017 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.
引用
收藏
页码：184 / 193
页数：10
相关论文
共 35 条
  • [1] Pseudo-almost periodic solutions of a class of semilinear fractional differential equations
    Agarwal R.P.
    Cuevas C.
    Soto H.
    [J]. Journal of Applied Mathematics and Computing, 2011, 37 (1-2) : 625 - 634
  • [2] Ahmad B., 2017, Hadamard-type fractional differential equations, inclusions and inequalities
  • [3] Ahmad B., 2013, ELECTRON J QUAL THEO, V20, P19
  • [4] Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions
    Ahmad, Bashir
    Alsaedi, Ahmed
    Alghamdi, Badra S.
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (04) : 1727 - 1740
  • [5] Existence of solutions for fractional differential equations with nonlocal and average type integral boundary conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 53 (1-2) : 129 - 145
  • [6] Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Agarwal, Ravi P.
    Alsaedi, Ahmed
    [J]. BOUNDARY VALUE PROBLEMS, 2016,
  • [7] Sharp estimates for the unique solution of two-point fractional-order boundary value problems
    Ahmad, Bashir
    [J]. APPLIED MATHEMATICS LETTERS, 2017, 65 : 77 - 82
  • [8] NONLOCAL FRACTIONAL BOUNDARY VALUE PROBLEMS WITH SLIT-STRIPS BOUNDARY CONDITIONS
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (01) : 261 - 280
  • [9] Boundary Value Problems for a Class of Sequential Integrodifferential Equations of Fractional Order
    Ahmad, Bashir
    Nieto, Juan J.
    [J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
  • [10] Alsaedi A., 2016, ELECTRON J DIFFER EQ, V211, P1
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