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 47 条

[11] Existence and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators
Bedi, Pallavi
Kumar, Anoop
Abdeljawad, Thabet
Khan, Zareen A.
Khan, Aziz
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[12] A fractional order Zika virus model with Mittag?Leffler kernel
Begum, Razia
Tunc, Osman
Khan, Hasib
Gulzar, Haseena
Khan, Aziz
[J]. CHAOS SOLITONS & FRACTALS, 2021, 146
[13] Budak H., 2019, Fractional calculus, P227, DOI [10.1007/978-981-15-0430-3, DOI 10.1007/978-981-15-0430-3]
[14] An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator
Chen, Taiyong
Liu, Wenbin
[J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (11) : 1671 - 1675
[15] Stability analysis of solutions and existence theory of fractional Lagevin equation
Devi, Amita
Kumar, Anoop
Abdeljawad, Thabet
Khan, Aziz
[J]. ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (04) : 3641 - 3647
[16] On stability analysis and existence of positive solutions for a general non-linear fractional differential equations
Devi, Amita
Kumar, Anoop
Baleanu, Dumitru
Khan, Aziz
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[17] Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type
Diethelm, Kai
[J]. ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS: AN APPLICATION-ORIENTED EXPOSITION USING DIFFERENTIAL OPERATORS OF CAPUTO TYPE, 2010, 2004 : 3 - +
[18] DAMPING DESCRIPTION INVOLVING FRACTIONAL OPERATORS
GAUL, L
KLEIN, P
KEMPLE, S
[J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1991, 5 (02) : 81 - 88
[19] Existence and stability results for a coupled system of Hilfer fractional Langevin equation with non local integral boundary value conditions
Hilal, Khalid
Kajouni, Ahmed
Lmou, Hamid
[J]. FILOMAT, 2023, 37 (04) : 1241 - 1259
[20] Boundary Value Problem for the Langevin Equation and Inclusion with the Hilfer Fractional Derivative
Hilal, Khalid
Kajouni, Ahmed
Lmou, Hamid
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 2022

← 1 2 3 4 5 →