en تخصصي Special پژوهشي Research paper <p>In this paper, a Bernoulli pseudo-spectral method for solving<br> nonlinear fractional Volterra integro-differential equations is considered.<br> First existence of a unique solution for the problem under study is proved.<br> Then the Caputo fractional derivative and Riemman-Liouville fractional<br> integral properties are employed to derive the new approximate formula<br> for unknown function of the problem. The suggested technique transforms<br> these types of equations to the solution of systems of algebraic equations.<br> In the next step, the error analysis of the proposed method is investigated.<br> Finally, the technique is applied to some problems to show its validity and<br> applicability.</p> Fractional Volterra integro-differential equations, Bernoulli pseudo- spectral method, Caputo derivative. 111 132 http://ijmsi.ir/browse.php?a_code=A-10-121-1&slc_lang=en&sid=1 P. Rahimkhani 10031947532846006517 10031947532846006517 Yes Alzahra University Y. Ordokhani 10031947532846006518 10031947532846006518 No Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University E. Babolian 10031947532846006519 10031947532846006519 No Department of Computer Science, Faculty of Mathematical Sciences and Computer, Kharazmi University