16 resultados para POLYFLUORENE DERIVATIVES

em Bulgarian Digital Mathematics Library at IMI-BAS


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An expansion formula for fractional derivatives given as in form of a series involving function and moments of its k-th derivative is derived. The convergence of the series is proved and an estimate of the reminder is given. The form of the fractional derivative given here is especially suitable in deriving restrictions, in a form of internal variable theory, following from the second law of thermodynamics, when applied to linear viscoelasticity of fractional derivative type.

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A relation showing that the Grünwald-Letnikov and generalized Cauchy derivatives are equal is deduced confirming the validity of a well known conjecture. Integral representations for both direct and reverse fractional differences are presented. From these the fractional derivative is readily obtained generalizing the Cauchy integral formula.

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2000 Mathematics Subject Classification: 26A33, 42B20

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Mathematics Subject Classification: 74D05, 26A33

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Mathematics Subject Classification: 26A33; 70H03, 70H25, 70S05; 49S05

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Mathematics Subject Classification: 26A33, 74B20, 74D10, 74L15

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2000 Mathematics Subject Classification: 26A33, 33E12, 33C60, 44A10, 45K05, 74D05,

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Mathematics Subject Classification 2010: 26A33, 33E12, 35S10, 45K05.

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MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo

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MSC 2010: 26A33, 46Fxx, 58C05 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo

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2000 Mathematics Subject Classification: 12D10.

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2000 Mathematics Subject Classification: 12D10.

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2000 Mathematics Subject Classification: 62G07, 60F10.