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

Autor: Arjunan Mani Mallika, Kavitha Velusamy, Baleanu Dumitru
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 2, Pp 5-24 (2022)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2022-0016
Popis: 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.
Databáze: Directory of Open Access Journals