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

Authors : Md ASADUZZAMAN, Md ZULFİKAR ALİ

Pages : 77-91

Doi:10.31197/atnaa.647561

View : 11 | Download : 9

Publication Date : 2020-06-30

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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