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.
Several systems are solved by the new and other approaches, and illustrative examples are considered.
Reviewer: Hans Benker (Merseburg)
MSC:
| 65K10 | Numerical optimization and variational techniques |
| 49J15 | Existence theories for optimal control problems involving ordinary differential equations |
| 26A33 | Fractional derivatives and integrals |
Keywords:
Kronecker product; convolution product; Kronecker convolution product; vector operator; operational matrix; Laplace transform; convolution differential equationsReferences:
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