A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space
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Date
2022
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Ovidius Univ Press
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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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Keywords
A-B Fractional-Order Derivative, Mild Solution, Fixed Point Theorem
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Citation
Arjunan, 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.
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Q3
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Q3
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Volume
30
Issue
2
Start Page
5
End Page
24