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Solution of mathematical models by localization. (English) Zbl 1033.46035
The definition of Laplace transforms of a subspace of distributions is given. The so defined Laplace transform can be successfully applied in the process of solving linear, ordinary and partial, equations with integer and fractional derivatives. Two examples from rod theory are treated in detail.
MSC:
46F12 Integral transforms in distribution spaces
46N20 Applications of functional analysis to differential and integral equations
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