We investigate the existence of solutions for a nonlinear fractional differential inclusion in a sense of hybrid Caputo-proportional fractional derivatives (HCPFDs) in Banach spaces. The main result is discussed by using the set-valued concern from the Mönch fixed-point theorem along with the Kuratowski measure of noncompactness. We present an example to demonstrate theoretical findings.
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Published in Neliniini Kolyvannya, Vol. 25, No. 2-3, pp. 147–160, April–September, 2022.
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Abbas, M.I., Alzabut, J. & Subramanian, M. On Hybrid Caputo-Proportional Fractional Differential Inclusions in Banach Spaces. J Math Sci 274, 791–806 (2023). https://doi.org/10.1007/s10958-023-06643-3
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DOI: https://doi.org/10.1007/s10958-023-06643-3