Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative-Reference-Cited by-同舟云学术

Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative

Published:2022-02-01 Issue:1 Volume:30 Page:191-217
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Dhawan Kanika¹,Vats Ramesh Kumar²,Agarwal Ravi P.³

Affiliation:

1. Department of Mathematics & Scientific Computing National Institute of Technology , Hamirpur . India

2. Department of Mathematics & Scientific Computing National Institute of Technology , Hamirpur India

3. Department of Mathematics , Texas A&M University-Kingsville 700 University Blvd., MSC 172 Kingsville , Texas .

Abstract

Abstract In this manuscript, we have studied the coupled system of Hilfer fractional differential equations with non-local conditions. We have used the Leray-alternative Schauder’s and the Contraction principle to obtain the results on the existence and uniqueness of the solution of the proposed problem in the weighted space of continuous functions. For the defined problem, sufficient conditions have also been developed to determine the Ulam stability of the solution. The key conclusions are well-illustrated with examples.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2022-0011

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