Valeri Obukhovskii, Garik Petrosyan, Maria Soroka, Ching-Feng Wen, On a boundary value problem for Hale type fractional functional-differential inclusions with causal multioperators in a Banach space

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DOI: 10.23952/jnva.7.2023.6.05

Volume 7, Issue 6, 1 December 2023, Pages 957-970

Abstract. We prove the existence of mild solutions to a nonlocal boundary value problem for fractional-functional differential inclusions of the Hale type in a separable Banach space. We assume that the linear part of an inclusion is an infinitesimal generator of a bounded $C_0$ -semigroup of linear operators, and the nonlinear part is a causal multivalued operator.

How to Cite this Article:
V. Obukhovskii, G. Petrosyan, M. Soroka, C.F. Wen, On a boundary value problem for Hale type fractional functional-differential inclusions with causal multioperators in a Banach space, J. Nonlinear Var. Anal. 7 (2023), 957-970.