Document Type : Research Paper
Associate Professor, Mathematics and Computer Science Department, Adib mazandaran institute of higher education, Sari, Iran
Associate Professor,Mathematica and Computer Science Department, Adib mazandaran institute of higher education, Sari, Iran
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
In this paper, the Tau method based on shifted Legendre polynomials is proposed for solving a class of fractional stochastic integro-differential equations. For this purpose, shifted Legendre polynomials and their properties are introduced. By using the operational matrices of integration and stochastic Ito-integration we transform the problem into the corresponding linear system of algebraic equations. Finally the efficiency of the proposed method is confirmed by some examples. The results show that this method is very accurate and efficient.