Boundary value problems of multi-term fractional differential equations with impulse effects

被引：0
|
作者：
Liu, Yuji [1 ]
机构：
[1] Guangdong Univ Finance & Econ, Dept Math, Guangzhou 510320, Guangdong, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 18期
关键词：
impulsive multi-term fractional differential equation; boundary value problem; Schauder's fixed point theorem;
D O I：
10.1002/mma.3928
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We point out some mistakes in a known paper. Some existence results for solutions of two classes of boundary value problems for nonlinear impulsive fractional differential equations are established. Our analysis relies on the well-known Schauder fixed point theorem. Examples are given to illustrate the main results. Copyright (c) 2016 John Wiley & Sons, Ltd.
引用
收藏
页码：5436 / 5451
页数：16
相关论文
共 50 条
  • [41] A Generalized NPCM for Solving Multi-Term Fractional Differential Equations
    Mahatekar Y.
    Deshpande A.S.
    International Journal of Applied and Computational Mathematics, 2022, 8 (3)
  • [42] Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems
    Ahmad, Bashir
    Alghamdi, Najla
    Alsaedi, Ahmed
    Ntouyas, Sotiris K.
    AXIOMS, 2020, 9 (02)
  • [43] Multi-term fractional differential equations in a nonreflexive Banach space
    Agarwal, Ravi P.
    Lupulescu, Vasile
    O'Regan, Donal
    ur Rahman, Ghaus
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [44] Multi-term fractional oscillation integro-differential equations
    Tran Dinh Phung
    Dinh Thanh Duc
    Vu Kim Tuan
    Fractional Calculus and Applied Analysis, 2022, 25 : 1713 - 1733
  • [45] Investigation of multi-term delay fractional differential equations with integro-multipoint boundary conditions
    Alghamdi, Najla
    Ahmad, Bashir
    Alharbi, Esraa Abed
    Shammakh, Wafa
    AIMS MATHEMATICS, 2024, 9 (05): : 12964 - 12981
  • [46] 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,
  • [47] Positive solutions for fractional differential equations with three-point multi-term fractional integral boundary conditions
    Jessada Tariboon
    Sotiris K Ntouyas
    Weerawat Sudsutad
    Advances in Difference Equations, 2014
  • [48] Sublinear impulse effects and solvability of boundary value problems for differential equations with impulses
    Dong, YJ
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 264 (01) : 32 - 48
  • [49] Multi-term fractional differential equations, multi-order fractional differential systems and their numerical solution
    GNS Gesellschaft für numerische Simulation mbH, Am Gauberg 2, 38114 Braunschweig, Germany
    不详
    J. Eur. Syst. Autom., 2008, 6-8 (665-676):
  • [50] Ulam-Type Stability for a Boundary-Value Problem for Multi-Term Delay Fractional Differential Equations of Caputo Type
    Agarwal, Ravi P.
    Hristova, Snezhana
    AXIOMS, 2022, 11 (12)
12345