Work

On the singular-hybrid type of the Langevin fractional differential equation with a numerical approach

Year: 2024

Type: article

Abstract: The nonlinear fractional Langevin equation is an important equation used in various areas of physics and mathematics. In this article, we focus on the singular-hybrid case of the generalized Langevin equations and prove the existence of a solution using fixed point theory. We also provide numerical and graphical simulations to demonstrate the convergence and existence of a solution for this singular problem. Finally, we present numerical examples in the form of tables and graphs to examine the accuracy of the method.

Source: Boundary Value Problems

DOI: 10.1186/s13661-024-01922-7

Authors: Samane Ijadi, S. Mansour Vaezpour, Mehdi Shabibi, Shahram Rezapour