Langevin Equations with Generalized Proportional Hadamard-Caputo Fractional Derivative

被引：12

作者：

Barakat, M. A. ^{[1
,2
]}

Soliman, Ahmed H. ^{[2
]}

Hyder, Abd-Allah ^{[3
,4
]}

机构：

[1] Univ Tabuk, Coll Al Wajh, Dept Comp Sci, Tabuk, Saudi Arabia

[2] Al Azhar Univ, Dept Math, Fac Sci, Assiut 71524, Egypt

[3] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia

[4] Al Azhar Univ, Fac Engn, Dept Engn Math & Phys, Cairo, Egypt

来源：

COMPUTATIONAL INTELLIGENCE AND NEUROSCIENCE | 2021年 / 2021卷

关键词：

STABILITY;

D O I：

10.1155/2021/6316477

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We look at fractional Langevin equations (FLEs) with generalized proportional Hadamard-Caputo derivative of different orders. Moreover, nonlocal integrals and nonperiodic boundary conditions are considered in this paper. For the proposed equations, the Hyres-Ulam (HU) stability, existence, and uniqueness (EU) of the solution are defined and investigated. In implementing our results, we rely on two important theories that are Krasnoselskii fixed point theorem and Banach contraction principle. Also, an application example is given to bolster the accuracy of the acquired results.

引用

页数：18

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