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Preprint . 2021
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On Implicit $\psi$-Caputo Fractional Integro-differential Equations

descriptionPublicationkeyboard_double_arrow_right Preprint 08 Oct 2021
Authors: Pachpatte, Deepak B.; Yewale, Bhagwat R.;

arXiv: 2110.05244

On Implicit $\psi$-Caputo Fractional Integro-differential Equations

Abstract

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

Comment: 13 pages

Keywords

26A33, 26D10, 26D15, Mathematics - General Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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