On a new class of Φ-Caputo-type fractional differential Langevin equations involving the p-Laplacian operator

被引：0

作者：

Lmou, Hamid ^{[1
]}

Hilal, Khalid ^{[1
]}

Kajouni, Ahmed ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab Appl Math & Sci Comp, Beni Mellal, Morocco

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2024年 / 30卷 / 02期

关键词：

Phi-Caputo fractional derivative; Schaefer's fixed point theorem; Phi-Caputo fractional differential Langevin equations; p-Laplacian operator; Langevin equation; BOUNDARY-VALUE-PROBLEMS; HYERS-ULAM STABILITY; EXISTENCE THEOREMS; SOLVABILITY;

D O I：

10.1007/s40590-024-00641-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to investigate the existence result for a new class of Phi-Caputo-type fractional differential Langevin equation involving the p-Laplacian operator. We develop these result with the help of the theory of p-Laplacian operator, and by making use of some basic proprieties of fractional calculus. By applying Schaefer's fixed point theorem, we established the existence result. As application, we give an example to demonstrate our theoretical result.

引用

页数：17

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