On a problem for nonlocal mixed-type fractional order equation with degeneration

被引：7

作者：

Turmetov, B. Kh ^{[1
]}

Kadirkulov, B. J. ^{[2
]}

机构：

[1] Bekzat Sattarhanov Ave 29, Turkistan, Kazakhstan

[2] Shahrisabz St 25, Tashkent, Uzbekistan

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 146卷

关键词：

Mixed type equation; Nonlocal equations; Equation with degeneration; Non-local problem; Integro-differentiation operator; Mittag?Leffler function; SOLVABILITY;

D O I：

10.1016/j.chaos.2021.110835

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study solvability of one boundary value problem for a nonlocal analogue of mixed parabolic-hyperbolic fractional-order equation with involution and degeneration. The problem is solved by using the variable separation method. Theorems on existence and uniqueness of solution to the con-sidered problem are proved. Stability of solution to the considered problem is also established with re-spect to the nonlocal condition. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：5

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