Ulam–Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions

Advances in Difference Equations

Asma¹  Fahd Jarad²  Arshad Ali³  Kamal Shah³ 

[1] Department of Mathematics, COMSATS University Islamabad;Department of Mathematics, Faculty of Arts and Sciences, Cankaya University;Department of Mathematics, University of Malakand;

关键词: Impulsive conditions;    Implicit differential equations;    Ulam–Hyers stability;   

DOI  :  10.1186/s13662-018-1943-x

来源: DOAJ

【 摘 要 】

Abstract In this article, we discuss the sufficient conditions for the existence, uniqueness and stability of solutions to a class of nonlinear impulsive boundary value problem of fractional order differential equations. Using classical fixed point theorems, we develop the required conditions. Further, using the techniques of nonlinear functional analysis, we investigate Ulam–Hyers stability results to the proposed problem. For applications of our derived results, we present two numerical examples.

【 授权许可】

Unknown