Initial value problems for fractional p-Laplacian equations with singularity

被引：0

作者：

Hasanov, Mahir ^{[1
]}

机构：

[1] Istanbul Beykent Univ, Fac Arts Sci, Dept Math, Istanbul, Turkiye

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 05期

关键词：

initial value problems; Caputo fractional differential equations; fractional derivatives; fractional p-Laplacian; existence theorem; BOUNDARY-VALUE PROBLEM; NONLINEAR DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; ORDER; INEQUALITIES;

D O I：

10.3934/math.2024625

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We have studied initial value problems for Caputo fractional differential equations with singular nonlinearities involving the p -Laplacian operator. We have given a precise mathematical analysis of the equivalence of the fractional differential equations and Volterra integral equations studied in this paper. A theorem for the global existence of the solution was proven. In addition, an example was given at the end of the article as an application of the results found in this paper.

引用

页码：12800 / 12813

页数：14

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