On Ulam's type stability for a class of impulsive fractional differential equations with nonlinear integral boundary conditions

The Journal of Nonlinear Sciences and its Applications

FaranakRabiei¹  KamalShah²  ArshadAli² 

[1] Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia;Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa,Pakistan

关键词: Caputo fractional derivative;    integral boundary conditions;    impulsive condition;    fixed point theorem;    Ulam stability.;   

DOI  :  10.22436/jnsa.010.09.19

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In this manuscript, using Schaefer's fixed point theorem, we derive some sufficient conditions for the existence of solutions to a class of fractional differential equations (FDEs). The proposed class is devoted to the impulsive FDEs with nonlinear integral boundary condition. Further, using the techniques of nonlinear functional analysis, weestablish appropriate conditions and results to discuss various kinds of Ulam-Hyers stability. Finally to illustrate the established results, we provide an example.

【 授权许可】

Unknown