On the Solutions of Cauchy Problem for Two Classes of Semi-Linear Pseudo-Differential Equations over p-Adic Field

被引：2

作者：

Pourhadi E. ^{[1
,2
]}

Khrennikov A.Y. ^{[1
]}

机构：

[1] International Center forMathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, Växjö

[2] School of Mathematics, Iran University of Science and Technology, Narmak, Tehran

来源：

p-Adic Numbers, Ultrametric Analysis and Applications | 2018年 / 10卷 / 4期

关键词：

Abel equation; Adomian decomposition method; Cauchy problem; p-adic field; p-adic wavelet basis; pseudo-differential equations;

D O I：

10.1134/S207004661804009X

中图分类号：

学科分类号：

摘要：

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. © 2018, Pleiades Publishing, Ltd.

引用

页码：322 / 343

页数：21

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