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In this paper, a two-parameter extension of the operational calculus of Mikusiński's type for the Caputo fractional derivative is presented. The first parameter is connected with the rings of functions… Click to show full abstract
In this paper, a two-parameter extension of the operational calculus of Mikusiński's type for the Caputo fractional derivative is presented. The first parameter is connected with the rings of functions that are used as a basis for construction of the convolution quotients fields. The convolutions by themselves are characterized by another parameter. The obtained two-parameter operational calculi are compared each to other and some homomorphisms between the fields of convolution quotients are established.
Keywords:
mikusi ski;
fractional derivative;
operational calculus;
caputo fractional;
ski type;
extension
Journal Title: Integral Transforms and Special Functions
Year Published: 2020
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Journal Title: Integral Transforms and Special Functions
Year Published: 2020
Link to full text (if available)
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recommendations!