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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
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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.

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