期刊
ALEXANDRIA ENGINEERING JOURNAL
卷 60, 期 4, 页码 3641-3647出版社
ELSEVIER
DOI: 10.1016/j.aej.2021.02.011
关键词
Hadamard-Caputo's derivative; Fixed point theorems; Fractional Langevin equation; Hyres-Ulam stability; Nonlocal conditions
资金
- Council of Scientific and Industrial Research (CSIR) New Delhi, India [09/1051 (0031) /2019EMR1]
- Prince Sultan University
This article discusses fractional Langevin equations with Caputo Hadamard-derivative, involving non-local integral and non-periodic boundary conditions. The stability, existence, and uniqueness of solutions are defined using the Krasnoselskii fixed point theorem and the Banach contraction mapping principle. An application is provided to facilitate the understanding of the hypothetical outcomes.
The present article describes fractional Langevin equations (FDEs) invloving Caputo Hadamard-derivative of independent orders connected with non-local integral and non-periodic boundary conditions. The stability, existence, and uniqueness (EU) of solutions for the prescribed equations are defined. Our viewpoint is built on the specification of the Krasnoselskii fixed point theorem and the Banach contraction mapping principle. An application is offered to smooth the comprehension of the hypothetical outcomes. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
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