Construction of an Explicit Solution of a Time-Fractional Multidimensional Differential Equation
Keyword(s):
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.
2013 ◽
Vol 11
(02)
◽
pp. 1350017
◽
1987 ◽
Vol 27
(3)
◽
pp. 44-49
◽
2018 ◽
1993 ◽
Vol 16
(1)
◽
pp. 61-98
◽
2021 ◽
2018 ◽
Vol 21
(1)
◽
pp. 200-219
◽