Existence of solution for a Langevin equation involving the $ \psi $-Hilfer fractional derivative: A variational approach

<p>This study examines the existence of a solution for a nonvariational Langevin equation that involves the $ \psi $-Hilfer fractional derivative. More specifically, we apply the mountain pass theorem, and then an iterative approach to establish the existence of a solution for the problem.</p>

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025024
Citations
3
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
11.18
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article

Existence of solution for a Langevin equation involving the $ \psi $-Hilfer fractional derivative: A variational approach

Lamya Almaghamsi, Abdeljabbar Ghanmi, Abdulrzzag Alghamdi
3 citations
AIMS Mathematics
Nonlinear Differential Equations Analysis
11.18
article

Existence of solution for a Langevin equation involving the $ \psi $-Hilfer fractional derivative: A variational approach

Lamya Almaghamsi, Abdeljabbar Ghanmi, Abdulrzzag Alghamdi
article en
3 citations

Abstract

<p>This study examines the existence of a solution for a nonvariational Langevin equation that involves the $ \psi $-Hilfer fractional derivative. More specifically, we apply the mountain pass theorem, and then an iterative approach to establish the existence of a solution for the problem.</p>

AIMS MathematicsVol. 10(1)
University of Jeddah (SA), Tunis El Manar University (TN)
Openalex Percentile: Top 2%
Nonlinear Differential Equations Analysis
11.18
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