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
收藏
页码：509 / 517
页数：9
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