Solvability of a Coupled System of Fractional Differential Equations with Nonlocal and Integral Boundary Conditions

被引：0
|
作者：
Ahmad, Bashir [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
Alsaedi, Ahmed [1 ]
Hobiny, Aatef [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
来源：
FUNDAMENTA INFORMATICAE | 2017年 / 151卷 / 1-4期
关键词：
Fractional differential equations; coupled system; nonlocal conditions; integral boundary conditions; fixed point theorems; POSITIVE SOLUTIONS; CAUCHY-PROBLEM; EXISTENCE; IDENTIFICATION; APPROXIMATION; UNIQUENESS;
D O I：
10.3233/FI-2017-1481
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with nonlocal and integral boundary conditions. The existence and uniqueness of solutions is established by Banach's contraction principle, while the existence of solutions is derived by using Leray-Schauder's alternative. The results are explained with the aid of examples. The case of nonlocal strip conditions is also discussed.
引用
收藏
页码：91 / 108
页数：18
相关论文
共 50 条
  • [21] A Coupled System of Nonlocal Fractional Differential Equations with Coupled and Uncoupled Slit-Strips-Type Integral Boundary Conditions
    Ahmad B.
    Ntouyas S.K.
    Journal of Mathematical Sciences, 2017, 226 (3) : 175 - 196
  • [22] On a system of Riemann–Liouville fractional differential equations with coupled nonlocal boundary conditions
    Rodica Luca
    Advances in Difference Equations, 2021
  • [23] Existence of Solutions for a System of Fractional Differential Equations with Coupled Nonlocal Boundary Conditions
    Bashir Ahmad
    Rodica Luca
    Fractional Calculus and Applied Analysis, 2018, 21 : 423 - 441
  • [24] EXISTENCE OF SOLUTIONS FOR A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH COUPLED NONLOCAL BOUNDARY CONDITIONS
    Ahmad, Bashir
    Luca, Rodica
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (02) : 423 - 441
  • [25] A COUPLED HILFER-HADAMARD FRACTIONAL DIFFERENTIAL SYSTEM WITH NONLOCAL FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
    Ahmad, B.
    Alsaedi, A.
    Ntouyas, S. K.
    Alotaibi, F. M.
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 15 (01): : 95 - 114
  • [26] SOLVABILITY OF BOUNDARY VALUE PROBLEMS WITH INTEGRAL CONDITIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
    Wang, Jinrong
    Lv, Linli
    Zhou, Yong
    FIXED POINT THEORY, 2013, 14 (02): : 507 - 522
  • [27] Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 : 615 - 622
  • [28] Coupled System of Nonlinear Fractional Langevin Equations with Multipoint and Nonlocal Integral Boundary Conditions
    Salem, Ahmed
    Alzahrani, Faris
    Alnegga, Mohammad
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [29] Positive solutions for a system of fractional differential equations with coupled integral boundary conditions
    Henderson, Johnny
    Luca, Rodica
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 249 : 182 - 197
  • [30] On a Coupled System of Fractional Differential Equations with Four Point Integral Boundary Conditions
    Mahmudov, Nazim I.
    Bawaneh, Sameer
    Al-Khateeb, Areen
    MATHEMATICS, 2019, 7 (03):
12345