On the Study of Pseudo 𝒮-Asymptotically Periodic Mild Solutions for a Class of Neutral Fractional Delayed Evolution Equations-Reference-Cited by-同舟云学术

On the Study of Pseudo 𝒮-Asymptotically Periodic Mild Solutions for a Class of Neutral Fractional Delayed Evolution Equations

Published:2023-08-20 Issue:8 Volume:12 Page:800
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Chegloufa Naceur¹²^ORCID,Chaouchi Belkacem³^ORCID,Kostić Marko⁴^ORCID,Du Wei-Shih⁵^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Saad Dahlab University, Blida 09000, Algeria

2. Lab. LPTHIRM, Faculty of Sciences, Saad Dahlab University, Blida 09000, Algeria

3. Department of Mathematics, Faculty of Science and Technology, UDBKM University, Khemis Miliana 44225, Algeria

4. Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, Serbia

5. Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan

Abstract

The goal of this paper is to investigate the existence and uniqueness of pseudo S-asymptotically periodic mild solutions for a class of neutral fractional evolution equations with finite delay. We essentially use the fractional powers of closed linear operators, the semigroup theory and some classical fixed point theorems. Furthermore, we provide an example to illustrate the applications of our abstract results.

Funder

Ministry of Science and Technological Development

National Science and Technology Council of the Republic of China

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/8/800/pdf

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