On multi-term fractional differential equations with multi-point boundary conditions

被引:0
|
作者
Bashir Ahmad
Najla Alghamdi
Ahmed Alsaedi
Sotiris K. Ntouyas
机构
[1] Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group,Department of Mathematics
[2] Department of Mathematics,Department of Mathematics
[3] Faculty of Science,undefined
[4] King Abdulaziz University,undefined
[5] Faculty of Science,undefined
[6] University of Jeddah,undefined
[7] University of Ioannina,undefined
关键词
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We also demonstrate the application of the obtained results with the aid of examples. The paper concludes with the study of multi-term fractional integro-differential equations supplemented with multi-point boundary conditions. Our results are new and contribute significantly to the existing literature on the topic.
引用
收藏
页码:3369 / 3390
页数:21
相关论文
共 50 条
  • [1] On multi-term fractional differential equations with multi-point boundary conditions
    Ahmad, Bashir
    Alghamdi, Najla
    Alsaedi, Ahmed
    Ntouyas, Sotiris K.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2017, 226 (16-18): : 3369 - 3390
  • [2] Existence results for multi-term fractional differential equations with nonlocal multi-point and multi-strip boundary conditions
    Ravi P. Agarwal
    Ahmed Alsaedi
    Najla Alghamdi
    Sotiris K. Ntouyas
    Bashir Ahmad
    Advances in Difference Equations, 2018
  • [3] Existence results for multi-term fractional differential equations with nonlocal multi-point and multi-strip boundary conditions
    Agarwal, Ravi P.
    Alsaedi, Ahmed
    Alghamdi, Najla
    Ntouyas, Sotiris K.
    Ahmad, Bashir
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [4] Multi-term fractional differential equations with nonlocal boundary conditions
    Ahmad, Bashir
    Alghamdi, Najla
    Alsaedi, Ahmed
    Ntouyas, Sotiris K.
    OPEN MATHEMATICS, 2018, 16 : 1519 - 1536
  • [5] Positive solutions for fractional differential equations with non-separated type nonlocal multi-point and multi-term integral boundary conditions
    Djourdem, Habib
    Benaicha, Slimane
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (04): : 691 - 708
  • [6] Multi-Term Fractional Differential Equations with Generalized Integral Boundary Conditions
    Ahmad, Bashir
    Alghanmi, Madeaha
    Alsaedi, Ahmed
    Ntouyas, Sotiris K.
    FRACTAL AND FRACTIONAL, 2019, 3 (03) : 1 - 15
  • [7] Existence of solutions for fractional differential equations with multi-point boundary conditions
    Zhou, Wen-Xue
    Chu, Yan-Dong
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (03) : 1142 - 1148
  • [8] A class of differential equations of fractional order with multi-point boundary conditions
    Ahmad, Bashir
    Nieto, Juan J.
    GEORGIAN MATHEMATICAL JOURNAL, 2014, 21 (03) : 243 - 248
  • [9] RESONANT FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT BOUNDARY CONDITIONS ON (0, +∞)
    Djebali, Smail
    Aoun, Abdellatif Ghendir
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2019, 2019
  • [10] Positive solutions for fractional differential equations with three-point multi-term fractional integral boundary conditions
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    Sudsutad, Weerawat
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,