• NORMALIZATION BERNSTEIN FOR SOLVING FRACTIONAL LINEAR VOLTERRA-INTEGRO DIFFERENTIAL EQUATION

Dr. ABDUL KHALEQ O. AL-JUBORY*, SHAYMAA HUSSAIN SALIH

Abstract


In this paper, the Petrov-Galerkian method (PGM) is proposed to obtain approximate solutions of linear fractional Volterra integro-differential equation of the second kind (LFVIDEs) via the normalization Bernstein bases. The fractional derivatives are described in the Caputo sense. Some examples are given and  the their results shown in tables and figures, the Petrov-Galerkian method (PGM) is very effective and convenient and overcome the difficulty of traditional methods.                                                                 


Keywords


Petrov-Galerkian method; Fractional Derivative; Caputo Sense.

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