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

页码：91 / 108

页数：18

共 36 条

[1] 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
[2] Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
Ahmad, Bashir
Ntouyas, Sotiris K.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 : 615 - 622
[3] 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
[4] A Study of Nonlinear Fractional Differential Equations of Arbitrary Order with Riemann-Liouville Type Multistrip Boundary Conditions
Ahmad, Bashir
Ntouyas, Sotiris K.
Alsaedi, Ahmed
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[5] Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
Ahmad, Bashir
Nieto, Juan J.
[J]. BOUNDARY VALUE PROBLEMS, 2011, : 1 - 9
[6] Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
Ahmad, Bashir
Nieto, Juan J.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (09) : 1838 - 1843
[7] Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces
Akyildiz, F. Talay
Bellout, Hamid
Vajravelu, Kuppalapalle
Van Gorder, Robert A.
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (06) : 2919 - 2930
[8] Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions
Alsaedi, Ahmed
Ntouyas, Sotiris K.
Ahmad, Bashir
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[9] [Anonymous], 2003, FIXED POINT THEOR-RO, DOI DOI 10.1007/978-0-387-21593-8
[10] [Anonymous], 1999, FRACTIONAL DIFFERENT

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