Existence and multiplicity for fractional differential equations with m(ξ)-Kirchhoff type-equation

被引：0

作者：

Feitosa, Everson F. S. ^{[1
]}

Sousa, J. Vanterler da C. ^{[2
]}

Moreira, S. I. ^{[3
]}

Costa, Gustavo S. A. ^{[4
]}

机构：

[1] State Univ Campinas UNICAMP, Dept Appl Math, Campinas, SP, Brazil

[2] Univ Estadual Maranhao, Dept Math & Informat, Aerosp Engn, PPGEA, BR-65054 Sao Luis, MA, Brazil

[3] Univ Estadual Maranhao, Dept Math & Informat, Sao Luis, Maranhao, Brazil

[4] Univ Fed Maranhao, BR-65080805 Sao Luis, MA, Brazil

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2025年 / 44卷 / 01期

关键词：

Fractional differential equations; m(xi)-Kirchhoff equation; Existence; Multiplicity; KIRCHHOFF-TYPE PROBLEM; P-LAPLACIAN; UNIQUENESS;

D O I：

10.1007/s40314-024-02980-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first investigate the Palais-Smale compactness condition of the energy functional associated to a m(xi)-Kirchhoff-type operator in the appropriate fractional space setting. In this sense, using the Mountain Pass Theorem and the Fountain Theorem, we investigate the existence and multiplicity of weak solutions for a new class of fractional differential equations with m(xi)-Kirchhoff-type equation.

引用

页数：24

共 50 条

[21] On the Existence and Multiplicity of Solutions for Dirichlet’s problem for Fractional Differential equations [J].

Diego Averna ;

Stepan Tersian ;

Elisabetta Tornatore .

Fractional Calculus and Applied Analysis, 2016, 19 :253-266

[22] ON THE EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR DIRICHLET'S PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATIONS [J].

Averna, Diego ;

Tersian, Stepan ;

Tornatore, Elisabetta .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2016, 19 (01) :253-266

[23] EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO BOUNDARY.VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS [J].

Caixia Guo ;

Jianmin Guo ;

Shugui Kang .

AnnalsofDifferentialEquations, 2014, 30 (02) :144-149

[24] Multiplicity results for the Kirchhoff type equations with critical growth [J].

Yang, Liu ;

Liu, Zhisu ;

Ouyang, Zigen .

APPLIED MATHEMATICS LETTERS, 2017, 63 :118-123

[25] Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation [J].

He, Xiaoming ;

Zou, Wenming .

MANUSCRIPTA MATHEMATICA, 2019, 158 (1-2) :159-203

[26] Existence of positive solutions for fractional Kirchhoff equation [J].

Wu, Ke ;

Gu, Guangze .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (02)

[27] Existence of positive solutions for fractional Kirchhoff equation [J].

Ke Wu ;

Guangze Gu .

Zeitschrift für angewandte Mathematik und Physik, 2022, 73

[28] SOLUTIONS FOR THE KIRCHHOFF TYPE EQUATIONS WITH FRACTIONAL LAPLACIAN [J].

Jia, Yanping ;

Gao, Ying ;

Zhang, Guang .

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (06) :2704-2710

[29] THE MULTIPLICITY SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS OF RIEMANN-LIOUVILLE TYPE [J].

Ma, Tianfu ;

Yan, Baoqiang .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (03) :801-818

[30] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN AT RESONANCE [J].

Sousa, Jose vanterler da c. ;

Pigossi, Mariane ;

Nyamoradi, Nemat .

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (34) :1-17

← 1 2 3 4 5 →