Existence Theory and Ulam’s Stabilities of Fractional Langevin Equation

被引：0
作者：
Rizwan Rizwan
Akbar Zada
机构：
[1] University of Buner,Department of Mathematics
[2] University of Peshawar,Department of Mathematics
来源：
Qualitative Theory of Dynamical Systems | 2021年 / 20卷
关键词：
Caputo derivative; Fixed point theorem; Ulam–Hyers stability; Ulam–Hyers–Rassias stability; Langevin Equation; 26A33; 34A08; 34B27;
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学科分类号：
摘要：
In this paper, we consider fractional Langevin equation and derive a formula of solutions for fractional Langevin equation involving two Caputo fractional derivatives. Secondly, we implement the concept of Ulam–Hyers as well as Ulam–Hyers–Rassias stability. Then, we choose Generalized Diaz–Margolis’s fixed point approach to derive Ulam–Hyers as well as Ulam–Hyers–Rassias stability results for our proposed model, over generalized complete metric space. We give several examples which support our main results.
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