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

Jin Rong Wang; Ahmed G. Ibrahim; Donal O'regan; Adel A. Elmandouh

doi:10.1515/ijnsns-2019-0179

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

Jin Rong Wang
, Ahmed G. Ibrahim
, Donal O'regan
, Adel A. Elmandouh

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	593-605
Number of pages	13
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	22
Issue number	5
DOIs	https://doi.org/10.1515/ijnsns-2019-0179
Publication status	Published - 1 Aug 2021

Keywords

compactness
fractional evolution inclusions
non-instantaneous impulses
nonempty
solution set

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10.1515/ijnsns-2019-0179

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

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.",

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Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order α ∈ (1, 2). / Wang, Jin Rong; Ibrahim, Ahmed G.; O'regan, Donal et al.
In: International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 22, No. 5, 01.08.2021, p. 593-605.

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

TY - JOUR

T1 - Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order α ∈ (1, 2)

AU - Wang, Jin Rong

AU - Ibrahim, Ahmed G.

AU - O'regan, Donal

AU - Elmandouh, Adel A.

PY - 2021/8/1

Y1 - 2021/8/1

N2 - 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.

AB - 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.

KW - compactness

KW - fractional evolution inclusions

KW - non-instantaneous impulses

KW - nonempty

KW - solution set

UR - https://www.scopus.com/pages/publications/85093511415

U2 - 10.1515/ijnsns-2019-0179

DO - 10.1515/ijnsns-2019-0179

M3 - Article

AN - SCOPUS:85093511415

SN - 1565-1339

VL - 22

SP - 593

EP - 605

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

IS - 5

ER -

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

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Keywords

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