Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ψ-Hilfer Fractional Operator and Variable Exponents

被引：3

作者：

Bouali, Tahar ^{[1
]}

Guefaifia, Rafik ^{[2
]}

Jan, Rashid ^{[3
,4
]}

Boulaaras, Salah ^{[2
]}

Radwan, Taha ^{[5
,6
]}

机构：

[1] Echahid Cheikh Larbi Tebessi Univ, Lab Math Informat & Syst LAMIS, Tebessa 12002, Algeria

[2] Qassim Univ, Coll Sci, Dept Math, Buraydah 52571, Saudi Arabia

[3] Univ Tenaga Nas, Inst Energy Infrastruct IEI, Coll Engn, Dept Civil Engn, Putrajaya Campus,Jalan IKRAM UNITEN, Kajang 43000, Selangor, Malaysia

[4] Near East Univ TRNC, Math Res Ctr, Mersin 10, TR-99138 Nicosia, Turkiye

[5] Qassim Univ, Coll Business & Econ, Dept Management Informat Syst, Buraydah 51452, Saudi Arabia

[6] Port Said Univ, Fac Management Technol & Informat Syst, Dept Math & Stat, Port Said 42511, Egypt

来源：

FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 06期

关键词：

variable exponent; partial differential equations; psi-Hilfer fractional operator; nonlinear equations; two-phase operator; Nehari manifold; fiber method; weak solutions; singular problem; DIFFERENTIAL-EQUATIONS; MULTIPLICITY;

D O I：

10.3390/fractalfract8060329

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the existence of at least two weak solutions to a class of singular two-phase problems with variable exponents involving a psi-Hilfer fractional operator and Dirichlet-type boundary conditions when the term source is dependent on one parameter. Here, we use the fiber method and the Nehari manifold to prove our results.

引用

页数：18

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