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
收藏
页数：21
相关论文
共 50 条
  • [1] Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations
    Kamal Shah
    Jinrong Wang
    Hammad Khalil
    Rahmat Ali Khan
    Advances in Difference Equations, 2018
  • [2] Existence of Solutions for a Coupled System of Fractional Differential Equations
    Hu, Zhigang
    Liu, Wenbin
    Rui, Wenjuan
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2014, 37 (04) : 1111 - 1121
  • [3] Existence of solutions for a coupled system of fractional differential equations at resonance
    Hu, Zhigang
    Liu, Wenbin
    Chen, Taiyong
    BOUNDARY VALUE PROBLEMS, 2012,
  • [4] Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions
    Zhang, Haiyan
    Li, Yaohong
    Lu, Wei
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2434 - 2447
  • [5] STABILITY AND EXISTENCE OF SOLUTIONS FOR A COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS*
    Qian, Jun
    Su, Youhui
    Han, Xiaoling
    Yun, Yongzhen
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (04): : 2026 - 2047
  • [6] Existence of positive solutions to a coupled system of fractional differential equations
    Jleli, Mohamed
    Samet, Bessem
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (06) : 1014 - 1031
  • [7] Existence of solutions for fractional differential equations with integral boundary conditions
    Yan, Rian
    Sun, Shurong
    Lu, Hongling
    Zhao, Yan
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [8] On existence of BVP's for impulsive fractional differential equations
    Mahmudov, Ni
    Unul, S.
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [9] Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory
    Xie, Jingli
    Duan, Lijing
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [10] The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions
    Zan, Dongxia
    Xu, Run
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
12345