Remark to history of fractional derivatives on complex plane: Sonine-Letnikov and Nishimoto derivatives
نویسندگان
چکیده
منابع مشابه
Remarks on fractional derivatives
In this paper, we further discuss the properties of three kinds of fractional derivatives: the Grünwald–Letnikov derivative, the Riemann–Liouville derivative and the Caputo derivative. Especially, we compare the Riemann–Liouville derivative with the Caputo derivative. And sequential property of the Caputo derivative is also derived, which is helpful in translating the higher fractional-order di...
متن کاملFractional Coins and Fractional Derivatives
and Applied Analysis 3 Differential calculus Exponent
متن کاملA Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions
and Applied Analysis 3 Ta bl e 1: Fr ac tio na lo rd er de riv at iv es fo rs om ef un ct io ns . Fu nc tio ns Lfr ac tio na ld er iv at iv es x β , > − 1 x − α + β Γ ( 1 + β )
متن کاملIntertwining Certain Fractional Derivatives
We obtain an intertwining relation between some Riemann-Liouville operators of order α ∈ (1, 2), connecting through a certain multiplicative identity in law the one-dimensional marginals of reflected completely asymmetric α−stable Lévy processes. An alternative approach based on recurrent extensions of positive self-similar Markov processes and exponential functionals of Lévy processes is also ...
متن کاملTime-Delay and Fractional Derivatives
This paper proposes the calculation of fractional algorithms based on time-delay systems. The study starts by analyzing the memory properties of fractional operators and their relation with time delay. Based on the Fourier analysis an approximation of fractional derivatives through timedelayed samples is developed. Furthermore, the parameters of the proposed approximation are estimated by means...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fractional Differential Calculus
سال: 2016
ISSN: 1847-9677
DOI: 10.7153/fdc-06-10