Existence of Solutions for Fractional Evolution Equations with Infinite Delay and Almost Sectorial Operator
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-31
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper discusses a class of semilinear fractional evolution equations with infinite delay and almost sectorial operator on infinite interval in Banach space.
By using the properties of analytic semigroups and Schauder’s fixed-point theorem, this paper obtains the existence of mild solutions of the fractional evolution equation.
Moreover, this paper also discusses the existence of mild solution when the analytic semigroup lacks compactness by Kuratowski measures of noncompactness and Darbo–Sadovskii fixed-point theorem.
American Psychological Association (APA)
Li, Shanshan& Zhang, Shuqin. 2020. Existence of Solutions for Fractional Evolution Equations with Infinite Delay and Almost Sectorial Operator. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1201780
Modern Language Association (MLA)
Li, Shanshan& Zhang, Shuqin. Existence of Solutions for Fractional Evolution Equations with Infinite Delay and Almost Sectorial Operator. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1201780
American Medical Association (AMA)
Li, Shanshan& Zhang, Shuqin. Existence of Solutions for Fractional Evolution Equations with Infinite Delay and Almost Sectorial Operator. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1201780
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201780