1. bookVolume 30 (2022): Issue 1 (February 2022)
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Journal
eISSN
1844-0835
First Published
17 May 2013
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1 time per year
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English
access type Open Access

Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative

Published Online: 12 Mar 2022
Volume & Issue: Volume 30 (2022) - Issue 1 (February 2022)
Page range: 191 - 217
Received: 10 Jul 2021
Accepted: 31 Aug 2021
Journal Details
License
Format
Journal
eISSN
1844-0835
First Published
17 May 2013
Publication timeframe
1 time per year
Languages
English
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.

Keywords

MSC 2010

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