Green's function of two-dimensional time-fractional diffusion equation using addition formula of Wright function |
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| Authors: | Alireza Ansari |
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| Institution: | Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, Shahrekord, Iran |
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| Abstract: | In this paper, using the Mellin transform of Wright function we derive an addition formula for the Wright function. In some special cases, addition formulas for the Hermite, Bessel and Mittag-Leffler functions are also given and the Green's function of two-dimensional time-fractional diffusion equation is presented in the whole plane. |
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| Keywords: | Addition formula Mellin transform Fourier transform Wright function Mittag-Leffler function |
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