Kronecker operational matrices for fractional calculus and some applications. (English) Zbl 1123.65063

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.


65K10 Numerical optimization and variational techniques
49J15 Existence theories for optimal control problems involving ordinary differential equations
26A33 Fractional derivatives and integrals
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