Article

Forward and Inverse Problems for the Barenblatt–Zheltov–Kochina Type Fractional Equations

Ravshan AshurovAU Engineering School, Akfa University, 111221, Tashkent, UzbekistanYusuf FayzievNational University of Uzbekistan, 700174, Tashkent, UzbekistanN. Kh. KhushvaktovNational University of Uzbekistan, 700174, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2023en

ABI

Abstract

In the article, we consider the forward and inverse problems for a fractional partial differential equation of the Barenblatt–Zheltov–Kochina type. Conditions are derived that guarantee the existence and uniqueness of a solution to the initial-boundary value problem for the considering equations. We also consider an inverse problem on determining the right-hand side of the equation.

Topics

Differential Equations and Boundary Problems Numerical methods in inverse problems Fractional Differential Equations Solutions

Identifiers

DOI: 10.1134/s1995080223070065

Citations and references

Cited by 8 21 references

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