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Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations
Journal article   Open access  Peer reviewed

Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations

Arshad Ali, Kamal Shah, Fahd Jarad, Vidushi Gupta and Thabet Abdeljawad
Advances in difference equations, Vol.2019(1), pp.1-21
08/03/2019
DOI: https://doi.org/10.1186/s13662-019-2047-y

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study a coupled system of implicit impulsive boundary value problems (IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and Banach contraction theorems to obtain conditions for the existence and uniqueness of positive solutions. We discuss Hyers-Ulam (HU) type stability of the concerned solutions and provide an example for illustration of the obtained results.
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https://doi.org/10.1186/s13662-019-2047-yView
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