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arXiv · 2110.05244

On Implicit $ψ$-Caputo Fractional Integro-differential Equations

Deepak B. Pachpatte·Bhagwat R. Yewale
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Abstract

In this paper, we investigate the existence and uniqueness of solution of nonlinear $ψ$-Caputo fractional differential equation with the help of Banach fixed point theorem. Moreover, by using $ψ$-Gronwall inequality, we studied some qualitative properties of solutions such as estimate and stability.

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Deepak B. Pachpatte, Bhagwat R. Yewale. 2021-10-08. On Implicit $ψ$-Caputo Fractional Integro-differential Equations. https://arxiv.org/abs/2110.05244

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