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article · AIMS Mathematics

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

20254 citationsOpen accessUniversity of Tunis El Manar

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>

Research topics

  • Nonlinear Differential Equations Analysis
  • Stability and Controllability of Differential Equations
  • Fractional Differential Equations Solutions

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DOI: 10.3934/math.2025024

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