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Title
The solving integro-differential equations of fractional order with the ultraspherical functions
Type of Research Article
Keywords
Fractional integro-diffrential equation, Ultraspherical functions, Caputo derivative.
Abstract
In this paper, an integration method is presented based on using ultraspherical polynomials for solving a class of linear fractional integro-di erential equations of Volterra types. This method is based on a new investigation of ultrasphreical integration to approximate the highest order derivative in the equations and generat approximations to the lower order derivatives through integration of the higher-order derivatives. Numerical example illustrate the eciency and accuracy of the method.
Researchers Saeid Panahi (First Researcher)، Ali Khani (Second Researcher)