Existence of Solution to Fractional Order Impulsive Partial Hyperbolic Differential Equations with Infinite Delay
In this article, we investigate the existence of solutions to a class of initial value problem ( for short IVP) for fractional order impulsive partial hyperbolic differential equations (for short FOIPHDEs) with infinite delay. Here we use Mixed Riemann-Liouville fractional derivative to construct th...
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Format: | Article |
Language: | English |
Published: |
ATNAA
2020-06-01
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Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
Subjects: | |
Online Access: | http://static.dergipark.org.tr/article-download/f725/bad3/2e35/5e6bdce942d39.pdf? |
Summary: | In this article, we investigate the existence of solutions to a class of initial value problem ( for short IVP) 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 article is based on Burton-Kirk 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. |
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ISSN: | 2587-2648 2587-2648 |