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In this article, a shifted Legendre tau method is introduced to get a direct solution technique for solving multi-order fractional differential equations (FDEs) with constant coefficients subject to multi-point boundary conditions. The fractional derivative is described in the Caputo sense. Also, this article reports a systematic quadrature tau method for… (More)

- M. M. Al-Shomrani, Edwin J. Beggs
- Int. J. Math. Mathematical Sciences
- 2004

We show that the double of the nontrivially associated tensor category constructed from left coset representatives of a subgroup of a finite group X is a modular category. Also we give a definition of the character of an object in this category as an element of a braided Hopf algebra in the category. This definition is shown to be adjoint invariant and… (More)

- M M Al-Shomrani, E J Beggs
- 2008

This paper is devoted to further results on the nontrivially associated categories C and D, which are constructed from a choice of coset representatives for a subgroup of a finite group. We look at the construction of integrals in the algebras A and D in the categories. These integrals are used to construct abstract projection operators to show that general… (More)

Last few years are witnessed for growing the interest in Web-based Applications. Web applications typically interact with a back-end database to retrieve data to the user as dynamically generated output. In our work, an application is built for classification data sets, especially multi class large data sets, using parallel algorithm PMC-PBC-SVM. Our… (More)

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