Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative

被引：6

作者：

Baltaeva, U. ^{[1
,2
]}

Alikulov, Y. ^{[3
]}

Baltaeva, I. I. ^{[2
]}

Ashirova, A. ^{[4
]}

机构：

[1] Khorezm Mamun Acad, Markaz 1, Khiva 220900, Uzbekistan

[2] Urgench State Univ, Kh Alimdjan Str 14, Urgench 220100, Uzbekistan

[3] Tashkent Univ Informat Technol, Amir Temur Str 108, Tashkent 100200, Uzbekistan

[4] Tashkent Univ Informat Technol, Urganch Branch, Al Khorezmi Str 110, Urgench 220100, Uzbekistan

来源：

NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS | 2021年 / 12卷 / 04期

关键词：

integro-differential equations; Caputo fractional derivative; loaded equation; nonlocal problem; Bessel function; PARABOLIC-HYPERBOLIC EQUATION; SPINODAL DECOMPOSITION; NONLOCAL PROBLEM; OPERATORS; SYSTEM; MODEL;

D O I：

10.17586/2220-8054-2021-12-4-418-424

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

In this paper, we prove the unique solvability of an analogue problem Darboux for a loaded integro-differential equation with Caputo operator by method of integral equations. The problem is equivalently reduced to a system of integral equations, which is unconditionally and uniquely solvable.

引用

页码：418 / 424

页数：7

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