Abdi, Tadesse (PhD)Bekele, Abenezer2021-06-082023-11-042021-06-082023-11-042021-04-29http://etd.aau.edu.et/handle/123456789/26758In 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.enFundamental SolutionFractionalDiffusion-WaveEquationThesis