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

Arjunan, Mani Mallika; Kavitha, Velusamy; Baleanu, Dumitru

doi:10.2478/auom-2022-0016

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.

References

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

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