Arbitrary order fractional differential equations and inclusions with new integro-multipoint boundary conditions

被引:0
|
作者
Sara Salem
Ahmed Alsaedi
Bashir Ahmad
Maryem Al-Yami
机构
[1] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)—Research Group, Department of Mathematics, Faculty of Science
关键词
Caputo fractional derivative; Multi-point; Integral boundary conditions; Existence; Fixed point; 34A08; 34B10; 34B15;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we study a new boundary value problem of arbitrary order fractional differential equations equipped with new integro-multipoint boundary conditions. Existence and uniqueness results for the given problem are obtained by applying the standard tools of fixed point theory. We also extend the problem at hand to its inclusions case and prove an existence result for it by applying a fixed point theorem due to Bohnenblust and Karlin.
引用
收藏
相关论文
共 50 条
  • [31] Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions
    Qing Zhang
    Chunshuo Li
    Lina Zhou
    Qiaoluan Li
    Boundary Value Problems, 2023
  • [32] Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions (vol 7, 249, 2019)
    Ahmad, Bashir
    Alruwaily, Ymnah
    Alsaedi, Ahmed
    Ntouyas, Sotiris K.
    MATHEMATICS, 2019, 7 (12)
  • [33] Stability results on non-instantaneous impulsive fractional integro-differential equations with multipoint boundary conditions
    Karthikeyan, P.
    Venkatachalam, K.
    Abbas, Syed
    FILOMAT, 2023, 37 (19) : 6603 - 6615
  • [34] Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
    Bashir Ahmad
    Ahmed Alsaedi
    Boundary Value Problems, 2012
  • [35] Generalized Liouville-Caputo Fractional Differential Equations and Inclusions with Nonlocal Generalized Fractional Integral and Multipoint Boundary Conditions
    Alsaedi, Ahmed
    Alghanmi, Madeaha
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    SYMMETRY-BASEL, 2018, 10 (12):
  • [36] Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
    Ahmad, Bashir
    Alsaedi, Ahmed
    BOUNDARY VALUE PROBLEMS, 2012,
  • [37] Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions
    Nazari, D.
    Shahmorad, S.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (03) : 883 - 891
  • [38] THREE-DIMENSIONAL INTEGRO-MULTIPOINT BOUNDARY VALUE PROBLEM FOR LOADED VOLTERRA-HYPERBOLIC INTEGRO-DIFFERENTIAL EQUATIONS OF BIANCHI TYPE
    Mamedov, I. G.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2012, (01): : 8 - 20
  • [39] Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions
    Ahmad, Bashir
    Matar, Mohammed M.
    Agarwal, Ravi P.
    BOUNDARY VALUE PROBLEMS, 2015, : 1 - 13
  • [40] Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions
    Bashir Ahmad
    Mohammed M Matar
    Ravi P Agarwal
    Boundary Value Problems, 2015