Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative
https://doi.org/10.17586/2220-8054-2021-12-4-418-424
Abstract
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.
About the Authors
U. Baltaeva
Khorezm Mamun Academy; Urgench State University
Uzbekistan
Uzbekistan
Markaz-1, 220900, Khiva;
Kh.Alimdjan str. 14, 220100, Urgench.
Y. Alikulov
Tashkent University of Information Technologies named after Muhammad Al-Khwarizmi
Uzbekistan
Uzbekistan
Amir Temur str. 108, 100200 Tashkent.
I. I. Baltaeva
Urgench State University
Uzbekistan
Uzbekistan
Kh.Alimdjan str. 14, 220100, Urgench.
A. Ashirova
Urganch branch of Tashkent University of Information Technology named after Muhammad al-Khwarizmi
Uzbekistan
Uzbekistan
Al Khorezmi str. 110, 220100 Urgench.
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Review
For citations:
Baltaeva U., Alikulov Y., Baltaeva I.I., Ashirova A. Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative. Nanosystems: Physics, Chemistry, Mathematics. 2021;12(4):418-424. https://doi.org/10.17586/2220-8054-2021-12-4-418-424
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