- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 4 Issue: 2
- Existence of Solution to Fractional Order Impulsive Partial Hyperbolic Differential Equations with I...
Existence of Solution to Fractional Order Impulsive Partial Hyperbolic Differential Equations with Infinite Delay
Authors : Md. Asaduzzaman, Md. Zulfikar Ali
Pages : 77-91
Doi:10.31197/atnaa.647561
View : 17 | Download : 9
Publication Date : 2020-06-30
Article Type : Research
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