Volume 11, Issue 2 (2-2011)
2011, 11(2): 161-182 |
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Bazm S, babolian E. Direct Numerical Solution of Fractional Differential, Integral and Integro-differential Equations by Using Numerical Inversion of Laplace Transform. Journal title 2011; 11 (2) :161-182
URL: http://jsci.khu.ac.ir/article-1-1428-en.html
URL: http://jsci.khu.ac.ir/article-1-1428-en.html
Abstract: (8150 Views)
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.
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.
Keywords: Fractional differential equations, Fractional integral equations, Fractional integro-differential equations, Piecewise constant orthogonal func- tions, Operational matrices, Laplace transforms, inversion of Laplace trans- form
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