Наносистемы: физика, химия, математика,
2021 , том 12, выпуск 4, страницы 418–424
(Mi nano1035)
Эта публикация цитируется в
3 статьях
MATHEMATICS
Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative
U. Baltaeva ab ,
Y. Alikulov c ,
I. I. Baltaeva b ,
A. Ashirova d a Khorezm Mamun Academy, Markaz-1, 220900, Khiva, Uzbekistan
b Urgench State University, Kh.Alimdjan str. 14, 220100, Urgench, Uzbekistan
c Tashkent University of Information Technologies named after Muhammad Al-Khwarizmi, Amir Temur str. 108, 100200 Tashkent, Uzbekistan
d Urganch branch of Tashkent University of Information Technology named after Muhammad al-Khwarizmi, Al Khorezmi str. 110, 220100 Urgench, Uzbekistan
Аннотация:
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.
Ключевые слова:
integro-differential equations, Caputo fractional derivative, loaded equation, nonlocal problem, Bessel function. Поступила в редакцию: 09.06.2021
Исправленный вариант: 17.07.2021
Язык публикации: английский
DOI:
10.17586/2220-8054-2021-12-4-418-424
Реферативные базы данных:
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