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Zbl 1123.65063
Kilicman, Adem; Al Zhour, Zeyad Abdel Aziz
Kronecker operational matrices for fractional calculus and some applications. (English)
[J] Appl. Math. Comput. 187, No. 1, 250-265 (2007). ISSN 0096-3003

The authors study several operational matrices for integration and differentiation. For some applications, it is often not necessary to compute exact solutions, approximate solutions are sufficient. The given method is extended to find the exact and numerical solutions of the general system matrix convolution differential equations. Several systems are solved by the new and other approaches, and illustrative examples are considered.
[Hans Benker (Merseburg)]

MSC 2000:: *65K10 Optimization techniques (numerical methods)
49J15 Optimal control problems with ODE (existence)
26A33 Fractional derivatives and integrals (real functions)

Keywords: Kronecker product; convolution product; Kronecker convolution product; vector operator; operational matrix; Laplace transform; convolution differential equations

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