Existence of Solution to Fractional Order Impulsive Partial Hyperbolic Differential Equations with Infinite Delay

Year 2020, Volume: 4 Issue: 2, 77 - 91, 30.06.2020

Md. Asaduzzaman , Md. Zulfikar Ali

https://doi.org/10.31197/atnaa.647561

Abstract

In this paper, we
investigate the existence of solutions to a class of initial value problem for fractional
order impulsive partial hyperbolic differential equations (for short FOIPHDEs) with
infinite delay. Here we use Mixed Riemann-Liouville fractional derivative to
construct the considered FOIPHDEs. The analysis of this paper is based on Burton-Krik fixed point theorem. A new
existence result for FOIPHDEs with
infinite delay has been obtained. To support the analytic proof, we give an illustrative example.

Keywords

FOIPHDEs, Burton-Krik fixed point theorem

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