Kronecker operational matrices for fractional calculus and some applications.

*(English)*Zbl 1123.65063The 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.

Reviewer: Hans Benker (Merseburg)

##### MSC:

65K10 | Optimization techniques (numerical methods) |

49J15 | Optimal control problems with ODE (existence) |

26A33 | Fractional derivatives and integrals (real functions) |