On the Fundamental Solution of Fractional Diffusion-Wave Equation
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Date
2021-04-29
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Addis Ababa University
Abstract
In this thesis, explicit closed form for the fundamental solution of multidimensional
space-time fractional diffusion-wave equation
cDb
t u + (4)
a2
u = 0
with Cauchy data is considered. The Mellin transform is employed along
with the Mellin-Barnes transform for specific values of a and b to achieve
the representation of the fundamental solution in closed form.
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Keywords
Fundamental Solution, Fractional, Diffusion-Wave, Equation