Existence of Boundary Value Problems for Impulsive Fractional Differential Equations with a Parameter

被引：0
作者：
Jin You
Mengrui Xu
Shurong Sun
机构：
[1] University of Jinan,School of Mathematical Sciences
来源：
Communications on Applied Mathematics and Computation | 2021年 / 3卷
关键词：
Fractional differential equations; Boundary value problems; Impulsive; Existence; 34A08; 34A37; 34A12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate a class of boundary value problems for nonlinear impulsive fractional differential equations with a parameter. By the deduction of Altman’s theorem and Krasnoselskii’s fixed point theorem, the existence of this problem is proved. Examples are given to illustrate the effectiveness of our results.
引用
收藏
页码：585 / 604
页数：19
相关论文
共 33 条
  • [1] Ahmad B(2018)Fractional differential equations involving generalized derivative with Stieltjes and fractional integral boundary conditions Appl. Math. Lett. 84 111-117
  • [2] Alghanmi M(2005)Positive solutions of boundary value problems of nonlinear fractional differential equations J. Math. Anal. Appl. 311 495-505
  • [3] Ntouyas SK(1998)A fixed point theorem of Krasnoselskii’ s type Mathematische Nachrichten 189 23-31
  • [4] Alsaedia A(2018)Boundary value problem for linear and nonlinear fractional differential equations Appl. Math. Lett. 86 1-7
  • [5] Bai Z(2019)Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph J. Math. Anal. Appl. 477 1243-1264
  • [6] Lu H(2020)On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions Chaos Solitons Fractals 139 110012-11
  • [7] Burton T(2021)On nonlinear hybrid fractional differential equations with Atangana-Baleanu-Caputo derivative Chaos Solitons Fractals 143 110557-3
  • [8] Kirk C(2018)Impulsive fractional differential equations with J. Func. Spaces 2018 1-205
  • [9] Ma T(2018)-Laplacian operator in Banach space Boundary Value Problems 100 1-undefined
  • [10] Tian Y(2020)Positive solutions for integral boundary value problem of two-term fractional differential equations J. Appl. Math. Comput. 62 189-undefined
1234