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
  • [21] A fractional-order hybrid system of differential equations: Existence theory and numerical solutions
    Shah, Anwar
    Khan, Rahmat Ali
    Khan, Hasib
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (07) : 4024 - 4034
  • [22] Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions
    Aphithana, Aphirak
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    BOUNDARY VALUE PROBLEMS, 2015,
  • [23] Existence of solutions for a sequential fractional integro-differential system with coupled integral boundary conditions
    Ahmad, Bashir
    Luca, Rodica
    CHAOS SOLITONS & FRACTALS, 2017, 104 : 378 - 388
  • [24] Solutions to fractional differential equations involving integral boundary conditions
    Guo, Yaru
    Zhai, Chengbo
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2020, 31 (07) : 506 - 518
  • [25] Existence and uniqueness of solutions for a higher-order coupled fractional differential equations at resonance
    Hu, Lei
    Zhang, Shuqin
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 14
  • [26] ON A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH COUPLED INTEGRAL BOUNDARY CONDITIONS
    Henderson, Johnny
    Luca, Rodica
    Tudorache, Alexandru
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (02) : 361 - 386
  • [27] Existence Results for a System of Coupled Hybrid Fractional Differential Equations
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [28] Leray-Schauder Alternative for the Existence of Solutions of a Modified Coupled System of Caputo Fractional Differential Equations with Two Point's Integral Boundary Conditions
    Al-Khateeb, Areen
    Zureigat, Hamzeh
    Abuasbeh, Kinda
    Fadhal, Emad
    SYMMETRY-BASEL, 2023, 15 (04):
  • [29] On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions
    Johnny Henderson
    Rodica Luca
    Alexandru Tudorache
    Fractional Calculus and Applied Analysis, 2015, 18 : 361 - 386
  • [30] Existence of solutions for a coupled system of fractional p-Laplacian equations at resonance
    Hu, Zhigang
    Liu, Wenbin
    Liu, Jiaying
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
12345