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

<p>In this manuscript the existence of the fractional-order functional differential inclusions [FFDI] with state-dependent delay [SDD] is investigated within the Mittag-Leffler kernel. We use both contractive and condensing maps to prove the existence of mild solutions through solution operator. Finally, an example is presented to illustrate the theoretical findings.</p>
</abstract>

In this manuscript the existence of the fractional-order functional differential inclusions [FFDI] with state-dependent delay [SDD] is investigated within the Mittag-Leffler kernel. We use both contractive and condensing maps to prove the existence of mild solutions through solution operator. Finally, an example is presented to illustrate the theoretical findings.

A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space

School of Arts, Science and Humanities, SASTRA Deemed to be University

Department of Mathematics, School of Sciences, Arts, Media & Management

Karunya Institute of Technology and Sciences

Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences

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 the existence of the fractional-order functional differential inclusions [FFDI] with state-dependent delay [SDD] is investigated within the...

A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space

Publié en ligne: 02 juin 2022

Pages: 5 - 24

Reçu: 13 juil. 2021

Accepté: 25 oct. 2021

DOI: https://doi.org/10.2478/auom-2022-0016

Mots clés
A-B fractional-order derivative, mild solution, fixed point theorem

© 2022 Mani Mallika Arjunan et al., published by Sciendo

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

A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space

Publié en ligne: 02 juin 2022

Pages: 5 - 24

Reçu: 13 juil. 2021

Accepté: 25 oct. 2021

DOI: https://doi.org/10.2478/auom-2022-0016

Mots clésA-B fractional-order derivative, mild solution, fixed point theorem

© 2022 Mani Mallika Arjunan et al., published by Sciendo

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

Mots clés
A-B fractional-order derivative, mild solution, fixed point theorem