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

Baleanu, DumitruArjunan, Mani MallikaKavitha, VelusamyBaleanu, Dumitru2024-02-092024-02-092022Arjunan, Mani Mallika; Kavitha, Velusamy; Baleanu, D. (2022). " A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space", Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, Vol.30, No.2, pp.5-24.12241784https://hdl.handle.net/20.500.12416/7148In 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.eninfo:eu-repo/semantics/closedAccessA-B Fractional-Order DerivativeFixed Point TheoremMild SolutionA new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach spaceA New Existence Results on Fractional Differential Inclusions With State-Dependent Delay and Mittag-Leffler Kernel in Banach SpaceArticle30252410.2478/auom-2022-0016