# Kronecker operational matrices for fractional calculus and some applications

@article{Kiliman2007KroneckerOM, title={Kronecker operational matrices for fractional calculus and some applications}, author={Adem Kiliçman and Zeyad Abdel Aziz Al Zhour}, journal={Applied Mathematics and Computation}, year={2007}, volume={187}, pages={250-265} }

- Published 2007 in Applied Mathematics and Computation
DOI:10.1016/j.amc.2006.08.122

The problems of systems identification, analysis and optimal control have been recently studied using orthogonal functions. The specific orthogonal functions used up to now are the Walsh, the block-pulse, the Laguerre, the Legendre, Haar and many other functions. In the present paper, several operational matrices for integration and differentiation are studied. we introduce the Kronecker convolution product and expanded to the Riemann–Liouville fractional integral of matrices. For some… CONTINUE READING