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

Mani Mallika Arjunan; Velusamy Kavitha; Dumitru Baleanu

doi:10.2478/auom-2022-0016

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

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 30 (2022): Issue 2 (May 2022)

By: Mani Mallika Arjunan, Velusamy Kavitha and Dumitru Baleanu

Open Access

|Jun 2022

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.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2022-0016 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 5 - 24

Submitted on: Jul 13, 2021

Accepted on: Oct 25, 2021

Published on: Jun 2, 2022

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

A-B fractional-order derivative,

Related subjects:

© 2022 Mani Mallika Arjunan, Velusamy Kavitha, Dumitru Baleanu, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 30 (2022): Issue 2 (May 2022)