Abstract
Throughout this paper, using the p-adic wavelet basis together with the help of separation of variables and the Adomian decomposition method (as a scheme in numerical analysis) we initially investigate the solution of Cauchy problem for two classes of the first and second order of pseudo-differential equations involving the pseudo-differential operators such as Taibleson fractional operator in the setting of p-adic field.
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Pourhadi, E., Khrennikov, A.Y. On the Solutions of Cauchy Problem for Two Classes of Semi-Linear Pseudo-Differential Equations over p-Adic Field. P-Adic Num Ultrametr Anal Appl 10, 322–343 (2018). https://doi.org/10.1134/S207004661804009X
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DOI: https://doi.org/10.1134/S207004661804009X