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Fractional Calculus

The Mathematical Gazette, 1936
1. Let f(x) be a real function of a real variable x . The meanings of when λ is a positive integer, a negative integer and zero, are well known. In the first case,
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Egyptian Fractions

Bulletin of the London Mathematical Society, 1985
Using an argument of \textit{P. Erdős} [Mat. Lapok 1, 192--210 (1950) (MR043117)] in the present paper the author first proves the following result: There is an increasing sequence \(N_ k\) of positive integers such that any integer m with ...
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Fractional Strain Tensor and Fractional Elasticity

Journal of Elasticity, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional Electromagnetic Equations Using Fractional Forms

International Journal of Theoretical Physics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baleanu, Dumitru   +3 more
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Fractional Dynamics

2011
Ageing and Weak Ergodicity Breaking (E Barkai) Subdiffusion Reaction Processes (I Sokolov) Mathematics of Fractional Diffusion (R Gorenflo & F Mainardi) Fractional Dynamics of Open Quantum Systems (V E Tarasov) Fractional Quantum Field and Casimir Efffect (S C Lim & L P Teo) Aspects of Levy Flights: Confinement and Escape (A Chechkin) Fractional ...
Joseph Klafter, S C Lim, Ralf Metzler
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Fractional resurfacing

Clinics in Dermatology, 2007
Fractional resurfacing produces a distinctive thermal damage pattern by creating discrete columns of thermal damage referred to as microthermal treatment zones. It characteristically spares the tissue surrounding each microthermal treatment zone leading to fast epidermal repair. Fractional resurfacing has been successfully used in treating a variety of
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The fractional mixed fractional Brownian motion

Statistics & Probability Letters, 2003
Let \(B_1\) and \(B_2\) be two independent fractional Brownian motions of Hurst index \(H_1\) and \(H_2\), respectively. Given real numbers \(\lambda_1\) and \(\lambda_2\), the two-parameter process \(Z\) is defined by \[ Z(w,s):= \lambda_1\,s^{H_2}\,B_1(w) + \lambda_2\,s^{H_1}\,B_2(w),\quad 0\leq w\leq s.
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