Author:
Salem Ahmed,Alghamdi Balqees
Abstract
In the present paper, we discuss a new boundary value problem for the nonlinear Langevin equation involving two distinct fractional derivative orders with multi-point and multi-nonlocal integral conditions. The fixed point theorems for Schauder and Krasnoselskii–Zabreiko are applied to study the existence results. The uniqueness of the solution is given by implementing the Banach fixed point theorem. Some examples showing our basic results are provided.
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference42 articles.
1. The Langevin Equation: With Applications to Stochastic Problems in Physics, Chemistry and Electrical Engineering;Coffey,2004
2. The fractional oscillator process with two indices
3. Langevin equation with two fractional orders
4. Fractional Langevin equations of distributed order
5. Fractional Equations and Models: Theory and Applications;Sandev,2019
Cited by
34 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献