Extended caputo fractional derivative of various trigonometric cardinal functions.

Autor: Singh, Rajbir, Singh, Dimple, Goel, Priya, Yadav, Pooja
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Zdroj: AIP Conference Proceedings; 2024, Vol. 3025 Issue 1, p1-11, 11p
Abstrakt: This article is devoted to extended Caputo fractional derivative of various Trigonometric cardinal functions. Recently, fractional derivatives and Mathematical Models involving fractional derivatives have found many applications in several branches of sciences. Trigonometric cardinal functions play significant roles in many theories of mathematics. These are special functions that are used in signal analysis which includes sound recording and radio transmission. Sine cardinal function found its existence in the theory of Fourier analysis. In this paper, we have established general expression of fractional derivative of different cardinal function using extended Caputo approach. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index