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Ulam–Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions
Journal article   Open access  Peer reviewed

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

Asma, Ali Arshad, Kamal Shah and Fahd Jarad
Advances in difference equations, Vol.2019(1), pp.1-27
10/01/2019
DOI: https://doi.org/10.1186/s13662-018-1943-x

Abstract

Boundary conditions Boundary value problems Differential equations Economic models Fixed points (mathematics) Functional analysis Nonlinear analysis Stability analysis
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.
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https://doi.org/10.1186/s13662-018-1943-xView
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