On the Solutions of Cauchy Problem for Two Classes of Semi-Linear Pseudo-Differential Equations over <Emphasis Type="Italic">p</Emphasis>-Adic Field |
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| Authors: | Ehsan Pourhadi A Yu Khrennikov |
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| Institution: | 1.International Center forMathematical Modelling in Physics and Cognitive Sciences,Linnaeus University,V?xj?,Sweden;2.School of Mathematics,Iran University of Science and Technology,Narmak, Tehran,Iran |
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| 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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