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The Fractional Boundary Value Problems (BVPs) oftenly come across in the modelling of several problems that we are faced in the branches of engineering sciences. The main aim of this work is to compute the solution of the Fractional BVP which is formed by y′′(x)+ p(x)y′(x)+q(x)y(α)(x)+ r(x)y(x) = f (x),0< α < 1 with the boundary conditions y(a) = 0, y(b) = 0 approximately by using the Sinc-Galerkin Method. Conformable sense is considered fo the fractional derivatives. Intercalarity, some test p roblems having exact solutions are approximately solved. Afterwards, the exact solutions compared with the approximate solutions and nume rical results of that comparison are presented both in table and graphical fo rms.

Approximation by Sinc-Galerkin method for a class of fractional boundary value problems