Browsing by Author "Bekele, Abenezer"

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    On the Fundamental Solution of Fractional Diffusion-Wave Equation
    (Addis Ababa University, 2021-04-29) Bekele, Abenezer; Abdi, Tadesse (PhD)
    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.