THE CAUCHY PROBLEM FOR THE HEAT EQUATION WITH A FRACTIONAL LOAD

被引：1

作者：

Agarwal, Praveen ^{[1
,2
,3
]}

Hubert, Florence ^{[4
]}

Dermenjian, Yves ^{[4
]}

Baltaeva, Umida ^{[1
,2
,5
,6
]}

Hasanov, Bobur ^{[1
,2
,5
]}

机构：

[1] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India

[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates

[3] Int Ctr Basic & Appl Sci, Jaipur 302029, India

[4] Aix Marseille Univ, CNRS, I2M, Marseille, France

[5] Khorezm Mamun Acad, Dept Exact Sci, Khiva, Uzbekistan

[6] Urgench State Univ, Dept Appl Math & Math Phys, Urgench, Uzbekistan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年

关键词：

Heat equation; Cauchy problem; loaded equation; fractional operator;

D O I：

10.3934/dcdss.2024176

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the solvability of a direct problem for a multidimensional fractionally loaded heat equation in Holder spaces. In the problem under consideration, the loaded term is represented in the form of a fractional Riemann-Liouville integral operator with respect to the time variable. This study aims to prove unique solvability and construct a representation of the solution to the problem by the method of the integral equation.

引用

页数：12

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