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

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.

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Publication Details

Journal
Boundary Value Problems
Published
2024-10-16
DOI
https://doi.org/10.1186/s13661-024-01922-7
Citations
2
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.79

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article

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

Mehdi Shabibi, Shahram Rezapour, S. M. Vaezpour, Samane Ijadi
2 citations
Boundary Value Problems
Fractional Differential Equations Solutions
0.79
article

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

Mehdi Shabibi, Shahram Rezapour, S. M. Vaezpour, Samane Ijadi
article en
2 citations

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.

Boundary Value ProblemsVol. 2024(1)
Islamic Azad University, Tehran (IR), Amirkabir University of Technology (IR), China Medical University (TW), China Medical University Hospital (TW), Azarbaijan Shahid Madani University (IR)
Islamic Azad University, Amirkabir University of Technology, Azarbaijan Shahid Madani University
Openalex Percentile: Top 30%
Fractional Differential Equations Solutions
0.79
DOIOpen Access PDFOpenAlex
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On the singular-hybrid type of the Langevin fractional differential equation with a numerical approach — Mehdi Shabibi, Shahram Rezapour, et al. · Boundary Value Problems (2024) | TGRS Research Map | TGRS