On the Existence and Uniqueness of Solution to Fractional-Order Langevin Equation
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this work, we give sufficient conditions to investigate the existence and uniqueness of solution to fractional-order Langevin equation involving two distinct fractional orders with unprecedented conditions (three-point boundary conditions including two nonlocal integrals).
The problem is introduced to keep track of the progress made on exploring the existence and uniqueness of solution to the fractional-order Langevin equation.
As a result of employing the so-called Krasnoselskii and Leray-Schauder alternative fixed point theorems and Banach contraction mapping principle, some novel results are presented in regarding to our main concern.
These results are illustrated through providing three examples for completeness.
American Psychological Association (APA)
Salem, Ahmed& Mshary, Noorah. 2020. On the Existence and Uniqueness of Solution to Fractional-Order Langevin Equation. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1127550
Modern Language Association (MLA)
Salem, Ahmed& Mshary, Noorah. On the Existence and Uniqueness of Solution to Fractional-Order Langevin Equation. Advances in Mathematical Physics No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1127550
American Medical Association (AMA)
Salem, Ahmed& Mshary, Noorah. On the Existence and Uniqueness of Solution to Fractional-Order Langevin Equation. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1127550
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127550