A direct extension of Meller's calculus

E. L. Koh

International Journal of Mathematics and Mathematical Sciences, 1982, vol. 5, 1-7

Abstract:

This paper extends the operational calculus of Meller for the operator B α = t − α d d t t α + 1 d d t to the case where α ∈ ( 0 , ∞ ) . The development is à la Mikusinski calculus and uses Meller's convolution process with a fractional derivative operator.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:524763

DOI: 10.1155/S0161171282000726

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