<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

Data publikacji: 12 mar 2022

Zakres stron: 191 - 217

Otrzymano: 10 lip 2021

Przyjęty: 31 sie 2021

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

Słowa kluczowe
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

Data publikacji: 12 mar 2022

Zakres stron: 191 - 217

Otrzymano: 10 lip 2021

Przyjęty: 31 sie 2021

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

Słowa kluczoweFractional 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.

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