Existence of solution for a Langevin equation involving the i/i-Hilfer fractional derivative: A variational approach

被引：1

作者：

Almaghamsi, Lamya ^{[1
]}

Alghamdi, Aeshah ^{[1
]}

Ghanmi, Abdeljabbar ^{[2
]}

机构：

[1] Univ Jeddah, Fac Sci, Dept Math & Stat, Jeddah 21493, Saudi Arabia

[2] Tunis El Manar Univ, ENIT LAMSIN, BP 37,1002 Tunis Belvdre, Tunis, Tunisia

来源：

AIMS MATHEMATICS | 2025年 / 10卷 / 01期

关键词：

variational methods; fractional calculus; Langevin equation; generalized Riemann Liouville; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; RESPECT;

D O I：

10.3934/math.2025024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study examines the existence of a solution for a nonvariational Langevin equation that involves the i/i-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.

引用

页码：534 / 550

页数：17

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