A New Existence Results on Fractional Differential Inclusions With State-Dependent Delay and Mittag-Leffler Kernel in Banach Space

Kavitha, VelusamyBaleanu, DumitruArjunan, Mani Mallika02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-02-092025-09-182024-02-092025-09-182022Arjunan, 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.5-24.1224-17841844-0835https://doi.org/10.2478/auom-2022-0016https://hdl.handle.net/123456789/11400In 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/openAccessA-B Fractional-Order DerivativeMild SolutionFixed Point TheoremA 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 spaceArticle10.2478/auom-2022-0016