Impulsive Fractional Dynamic Equation with Non-local Initial Condition on Time Scales
Analysis of PDEs
2022-07-05 v1
Abstract
In this manuscript we investigate the existence and uniqueness of an impulsive fractional dynamic equation on time scales involving non-local initial condition with help of Caputo nabla derivative. The existency is based on the Scheafer's fixed point theorem along with the Arzela-Ascoli theorem and Banach contraction theorem. The comparison of the Caputo nabla derivative and Riemann-Liouvile nabla derivative of fractional order are also discussed in the context of time scale.
Keywords
Cite
@article{arxiv.2207.01517,
title = {Impulsive Fractional Dynamic Equation with Non-local Initial Condition on Time Scales},
author = {Bikash Gogoi and Bipan Hazarika and Utpal Kumar Saha},
journal= {arXiv preprint arXiv:2207.01517},
year = {2022}
}
Comments
pp 15