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Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order alpha is an element of(1,2)
Journal article   Peer reviewed

Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order alpha is an element of(1,2)

JinRong Wang, Ahmed G. Ibrahim, Donal O'Regan and Adel A. Elmandouh
International journal of nonlinear sciences and numerical simulation, Vol.22(5), pp.593-605
04/08/2021
DOI: https://doi.org/10.1515/ijnsns-2019-0179

Abstract

Engineering Engineering, Multidisciplinary Mathematics Mathematics, Applied Mechanics Physical Sciences Physics Physics, Mathematical Science & Technology Technology
In this paper, we establish the existence of mild solutions for nonlocal fractional semilinear differential inclusions with noninstantaneous impulses of order a. (1,2) and generated by a cosine family of bounded linear operators. Moreover, we show the compactness of the solution set. We consider both the case when the values of the multivalued function are convex and nonconvex. Examples are given to illustrate the theory.

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