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arXiv · 2207.01517

Impulsive Fractional Dynamic Equation with Non-local Initial Condition on Time Scales

Bikash Gogoi·Bipan Hazarika·Utpal Kumar Saha
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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.

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Bikash Gogoi, Bipan Hazarika, Utpal Kumar Saha. 2022-06-29. Impulsive Fractional Dynamic Equation with Non-local Initial Condition on Time Scales. https://arxiv.org/abs/2207.01517

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