Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations

被引：27

作者：

Shah, Kamal ^{[1
]}

Wang, Jinrong ^{[2
,3
]}

Khalil, Hammad ^{[4
]}

Khan, Rahmat Ali ^{[1
]}

机构：

[1] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan

[2] Guizhou Univ, Dept Math, Guiyang, Guizhou, Peoples R China

[3] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China

[4] Univ Educ, Dept Math, Attock Campus, Lahore, Punjab, Pakistan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Fractional differential system; Integral boundary value problem; Numerical solutions; Differential transform; Hyers-Ulam stability; BOUNDARY-VALUE-PROBLEMS; ULAM-HYERS STABILITY; POSITIVE SOLUTIONS; INTEGRODIFFERENTIAL EQUATIONS; ADOMIAN DECOMPOSITION;

D O I：

10.1186/s13662-018-1603-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to establishing the existence theory for at least one solution to a coupled system of fractional order differential equations (FDEs). The problem under consideration is subjected to movable type integral boundary conditions over a finite time interval. Furthermore, we investigate the approximate solutions to the considered problem with the help of the differential transform. Moreover, some necessary conditions for the Hyers-Ulam type stability to the solution of the proposed problem are developed. The whole investigation has been illustrated by providing some suitable examples.

引用

页数：21

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