ON THE NONLINEAR IMPULSIVE Ψ–HILFER FRACTIONAL DIFFERENTIAL EQUATIONS-Reference-Cited by-同舟云学术

ON THE NONLINEAR IMPULSIVE Ψ–HILFER FRACTIONAL DIFFERENTIAL EQUATIONS

Published:2020-10-13 Issue:4 Volume:25 Page:642-660
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Kucche Kishor D.¹^ORCID,Kharade Jyoti P.¹,Sousa J. Vanterler da C.²

Affiliation:

1. Department of Mathematics, Shivaji University, Kolhapur-416 004, Maharashtra, India

2. Department of Applied Mathematics, Imecc-Unicamp, 13083-859, Campinas, SP, Brazil

Abstract

In this paper, we consider the nonlinear Ψ-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of solutions. The acquired results are extended to the nonlocal Ψ-Hilfer impulsive fractional differential equation. We gave an applications to the outcomes we obtained. Further, examples are provided in support of the results we got.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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