Construction of an explicit solution of a time-fractional multidimensional differential equation
Sultanov M.A. Durdiev D.K. Rahmonov A.A.
1 September 2021MDPI
Mathematics
2021#9Issue 17
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.
Exact solution , Fox function , Green function , Hankel transform , Laplace operator , Time-fractional equation
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Department of Mathematics, Faculty of Natural Science, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, 160200, Kazakhstan
Bukhara Branch of the Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Bukhara, 100170, Uzbekistan
Department of Mathematics, Bukhara State University, Bukhara, 200114, Uzbekistan
Department of Mathematics
Bukhara Branch of the Institute of Mathematics
Department of Mathematics
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