Work

Solution of One Class of Multi-dimensional Integral Equations of the First Kind With Mittag-leffler Function in Kernels

Year: 2025

Type: article

Abstract: One class of multidimensional integral equations of the first kind with Mittag-Leffler function in kernels over a bounded pyramidal domain of a special form is considered. Following the technique of Ya. Tamarkin, explicit formulas for the solution of the considered multidimensional integral equations are derived. Necessary and sufficient conditions for the solvability of such equations in spaces of summable functions are established.

Source: HERALD OF POLOTSK STATE UNIVERSITY Series С FUNDAMENTAL SCIENCES

DOI: 10.52928/2070-1624-2025-44-1-81-87

Authors: S. SITNIK, O. SKOROMNIK, M. PAPKOVICH

Institutions: Belgorod National Research University, Euphrosyne Polotskaya State University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409778818

FWCI:

Cites: 4

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Related to: 10