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Direct Numerical Solution of Fractional Differential, Integral and Integro-differential Equations by Using Numerical Inversion of Laplace Transform
S Bazm, Esmaeil Babolian,
Volume 11, Issue 2 (2-2011)
Abstract
In this paper, we use operational matrices of piecewise constant orthog-
onal functions on the interval [0,1] to solve fractional differential , integral
and integro-differential equations without solving any system. We first ob-
tain Laplace transform of the problem and then we find numerical inversion
of Laplace transform by operational matrices. Numerical examples show
that the approximate solutions have a good degree of accuracy.


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