Open AccessFractional derivatives of some special functions using ABR and ABC derivatives
Author(s) -
R. Hem Prabha,
S. Kiruthika
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1850/1/012040
Subject(s) - fractional calculus , dissipative system , mathematics , exponential function , trigonometric functions , trigonometry , special functions , hyperbolic function , mittag leffler function , pure mathematics , mathematical analysis , physics , thermodynamics , geometry
In this paper, we present the Atangana Baleanu fractional derivatives of some special functions such as trigonometric, exponential and hyperbolic functions. The AB fractional derivatives are calculated using the formula for RL derivatives and are calculated for all functions which belong to L 1 [a,b]. The importance of these derivatives comes from the fact that certain dissipative phenomena cannot be explained using classical fractional operators.