Holder's Inequality ρ–Mean Continuity for Existence and Uniqueness Solution of Fractional Multi-Integrodifferential Delay System
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-10
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We herein present the detailed results for the existence and uniqueness of mild solution for multifractional order impulsive integrodifferential control equations with a nonlocal condition involving several types of semigroups of bounded linear operators, which were established on probability density functions related with the fractional differential equation.
Additionally, we present the necessary and sufficient conditions to investigate Schauder’s fixed point theorem with Holder’s inequality ρ–mean continuity and infinite delay parameter to guarantee the uniqueness of a fixed point.
American Psychological Association (APA)
Qasim Hasan, Sameer. 2020. Holder's Inequality ρ–Mean Continuity for Existence and Uniqueness Solution of Fractional Multi-Integrodifferential Delay System. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1187999
Modern Language Association (MLA)
Qasim Hasan, Sameer. Holder's Inequality ρ–Mean Continuity for Existence and Uniqueness Solution of Fractional Multi-Integrodifferential Delay System. Journal of Mathematics No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1187999
American Medical Association (AMA)
Qasim Hasan, Sameer. Holder's Inequality ρ–Mean Continuity for Existence and Uniqueness Solution of Fractional Multi-Integrodifferential Delay System. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1187999
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1187999