<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative

Department of Mathematics & Scientific Computing National Institute of Technology

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this manuscript, we have studied the coupled system of Hilfer fractional differential equations with non-local conditions. We have used the...

Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative

Published Online: Mar 12, 2022

Page range: 191 - 217

Received: Jul 10, 2021

Accepted: Aug 31, 2021

DOI: https://doi.org/10.2478/auom-2022-0011

Keywords
Fractional differential equations, Couple system, Hilfer fractional derivative, Non-local conditions, Fixed point theorem, Ulam’s stability

© 2022 Kanika Dhawan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative

Published Online: Mar 12, 2022

Page range: 191 - 217

Received: Jul 10, 2021

Accepted: Aug 31, 2021

DOI: https://doi.org/10.2478/auom-2022-0011

KeywordsFractional differential equations, Couple system, Hilfer fractional derivative, Non-local conditions, Fixed point theorem, Ulam’s stability

© 2022 Kanika Dhawan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Fractional differential equations, Couple system, Hilfer fractional derivative, Non-local conditions, Fixed point theorem, Ulam’s stability