A BOUNDARY VALUE PROBLEM FOR A PARTIAL DIFFERENTIAL EQUATION WITH FRACTIONAL DERIVATIVE

被引：4

作者：

Ruziev, Menglibay ^{[1
]}

机构：

[1] Acad Sci Uzbek, Inst Math, Univ Str,4b, Tashkent, Uzbekistan

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2021年 / 24卷 / 02期

关键词：

boundary value problem; fractional order derivative; Riemann-Liouville operator; functional equation; iteration method; nonlocal problem; integral equation;

D O I：

10.1515/fca-2021-0022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a nonlocal boundary value problem for an equation of special type. For y > 0 it is a fractional diffusion equation, which contains the Riemann-Liouville fractional derivative. For y < 0 it is a generalized equation of moisture transfer. A unique solvability of the considered problem is proved.

引用

页码：509 / 517

页数：9

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