Article

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

Umida BaltaevaKhorezm Mamun Academy, Markaz-1, 220900, Khiva, UzbekistanYolqin AlikulovTashkent University of Information Technologies named after Muhammad Al-Khwarizmi, Amir Temur str. 108, 100200 Tashkent, UzbekistanIroda Ismailovna BaltaevaUrgench State University, Kh.Alimdjan str. 14, 220100, Urgench, UzbekistanA.I. AshirovaUrganch branch of Tashkent University of Information Technology named after Muhammad al-Khwarizmi, Al Khorezmi str. 110, 220100 Urgench, Uzbekistan

Nanosystems Physics Chemistry Mathematicsjournal2021en

ABI

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.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Nonlinear Differential Equations Analysis

Identifiers

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

Citations and references

Cited by 10 24 references

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