On the Existence and Uniqueness of Solution to Fractional-Order Langevin Equation

Autor: Ahmed Salem, Noorah Mshary
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2020/8890575
Popis: 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.
Databáze: Directory of Open Access Journals
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