%0 Journal Article
%T Walsh functions and their applications to solving nonlinear fractional Volterra integro-differential equation
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Khajehnasiri, Amirahmad
%A Ezzati, Reza
%A Jafari Shaerlar, Akbar
%D 2021
%\ 07/01/2021
%V 12
%N 2
%P 1577-1589
%! Walsh functions and their applications to solving nonlinear fractional Volterra integro-differential equation
%K Walsh functions
%K Operational matrix. Block-pulse functions
%K Fractional calculus
%R 10.22075/ijnaa.2021.19846.2108
%X In this article, we extended an efficient computational method based on Walsh operational matrix to find an approximate solution of nonlinear fractional order Volterra integro-differential equation, First, we present the fractional Walsh operational matrix of integration and differentiation. Then by applying this method, the nonlinear fractional Volterra integro-differential equation is reduced into a system of algebraic equation. The benefits of this method are the low-cost of setting up the equations without applying any projection method such as collocation, Galerkin, etc. The results show that the method is very accuracy and efficiency.
%U https://ijnaa.semnan.ac.ir/article_5286_cb74b28ee3138dd8b107a61f879d2ec9.pdf