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

共 50 条

[41] On Nonlinear Implicit Fractional Differential Equations with Integral Boundary Condition Involving p-Laplacian Operator without Compactness
Shah, K.
Hussain, W.
Thounthong, P.
Borisut, P.
Kumam, P.
Arif, M.
THAI JOURNAL OF MATHEMATICS, 2018, 16 : 301 - 321
[42] On Existence Results for Nonlinear Fractional Differential Equations Involving the p-Laplacian at Resonance
Lei Hu
Shuqin Zhang
Mediterranean Journal of Mathematics, 2016, 13 : 955 - 966
[43] On Existence Results for Nonlinear Fractional Differential Equations Involving the p-Laplacian at Resonance
Hu, Lei
Zhang, Shuqin
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 955 - 966
[44] STABILITY OF POSITIVE SOLUTIONS FOR A CLASS OF NONLINEAR HADAMARD TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN
Horrigue, Samah
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2022, 17 (04): : 401 - 415
[45] Infinitely many solutions for a new class of Schrodinger-Kirchhoff type equations in RN involving the fractional p-Laplacian
Hamdani, Mohamed Karim
Chung, Nguyen Thanh
Bayrami-Aminlouee, Masoud
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2021, 7 (01) : 243 - 267
[46] Existence theory on the Caputo-type fractional differential Langevin hybrid inclusion with variable coefficient
Lmou, Hamid
Talhaoui, Omar
Kajouni, Ahmed
Etemad, Sina
Alubady, Raaid
BOUNDARY VALUE PROBLEMS, 2024, 2024 (01):
[47] Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional p-Laplacian
Liejun Shen
Journal of Inequalities and Applications, 2018
[48] Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional p-Laplacian
Shen, Liejun
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[49] Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition
Peng, Zhongqi
Li, Yuan
Zhang, Qi
Xue, Yimin
COMPLEXITY, 2021, 2021
[50] On the Existence and Stability of Positive Solutions of Eigenvalue Problems for a Class of P-Laplacian ψ-Caputo Fractional Integro-Differential Equations
Awad, Yahia
JOURNAL OF MATHEMATICS, 2023, 2023

← 1 2 3 4 5 →