Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order α ∈ (1, 2)-Reference-Cited by-同舟云学术

Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order α ∈ (1, 2)

Published:2020-10-01 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Wang JinRong¹,Ibrahim Ahmed G.²,O’Regan Donal³,Elmandouh Adel A.²⁴

Affiliation:

1. Department of Mathematics , Guizhou University , Guiyang , Guizhou , 550025, China

2. Faculty of Sciences, Department of Mathematics , King Faisal University , Al-Ahsa , 31982, Saudi Arabia

3. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland , Galway , Ireland

4. Faculty of Science, Department of Mathematics , Mansoura University , Mansoura , Egypt

Abstract

Abstract In this paper, we establish the existence of mild solutions for nonlocal fractional semilinear differential inclusions with noninstantaneous impulses of order α ∈ (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.

Funder

National Natural Science Foundation of China

Training Object of High Level and Innovative Talents of Guizhou Province

Guizhou Data Driven Modeling Learning and Optimization Innovation Team

Deanship of Scientific Research at King Faisal University

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0179/pdf

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