Maqola

Construction of an Explicit Solution of a Time-Fractional Multidimensional Differential Equation

M. A. SultanovDepartment of Mathematics, Faculty of Natural Science, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 160200, KazakhstanD. K. DurdievBukhara Branch of the Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Bukhara 100170, UzbekistanAskar RahmonovDepartment of Mathematics, Bukhara State University, Bukhara 200114, Uzbekistan

Mathematicsjournal2021en

ABI

Annotatsiya

In this work, an explicit solution of the initial-boundary value problem for a multidimensional time-fractional differential equation is constructed. The possibility of obtaining this equation from an integro-differential wave equation with a Mittag–Leffler–type memory kernel is shown. An explicit solution to the problem under consideration is obtained using the Laplace and Fourier transforms, the properties of the Fox H-functions and the convolution theorem.

Mavzular

Fractional Differential Equations Solutions Differential Equations and Boundary Problems Differential Equations and Numerical Methods

Identifikatorlar

DOI: 10.3390/math9172052

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