Open AccessThe Modified Sadik Decomposition Method to Solve a System of Nonlinear Fractional Volterra Integro-Differential Equations of Convolution type
Author(s) -
Prapart Pue-on
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2021.20.34
Subject(s) - adomian decomposition method , convolution (computer science) , nonlinear system , mathematics , decomposition method (queueing theory) , type (biology) , decomposition , volterra integral equation , differential equation , noise (video) , fractional calculus , mathematical analysis , integral equation , computer science , discrete mathematics , artificial intelligence , ecology , physics , quantum mechanics , artificial neural network , image (mathematics) , biology
In this work, an incorporated form of Sadik transform and Adomian decomposition method which is called the Sadik decomposition method is presented. The method is applied to solve a system of nonlinear fractional Volterra integro-differential equations in the convolution form. To avoid collecting the noise terms that lead the method to fail for seeking the solution, the proposed method is modified by selecting a suitable initial solution. The obtained results are expressed in the explicit form of a power series with easily computable terms. In addition, illustrative examples are shown to demonstrate the effectiveness of the method.