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Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type
fractional derivative distributed-order fractional derivative fractional viscoelastic material forced oscillations of a rod
2012/7/11
We study forced oscillations of a rod with a body attached to its free end so that the motion of a system is described by two sets of equations, one of integer and the other of the fractional order. T...
Differential Equations with Fractional Derivative and Universal Map with Memory
Fractional Derivative Universal Map Memory Chaotic Dynamics
2011/10/9
Abstract: Discrete maps with long-term memory are obtained from nonlinear differential equations with Riemann-Liouville and Caputo fractional derivatives. These maps are generalizations of the well-kn...
Applications of local fractional calculus to engineering in fractal time-space: Local fractional differential equations with local fractional derivative
local fractional calculus fractal time-space local fractional derivative local fractional differential equation
2011/7/26
Abstract: This paper presents a better approach to model an engineering problem in fractal-time space based on local fractional calculus. Some examples are given to elucidate to establish governing eq...
Generalized local Taylors formula with local fractional derivative
local fractional calculus local fractional derivatives fractal space Mittag-Leffler function
2011/7/26
Abstract: In the present paper, a generalized local Taylor formula with the local fractional derivatives is derived form the local fractional calculus. An application to approximation of Mittag-Leffle...
From self-similarity to fractional derivative of non-differentiable functions via Mittag-Leffler function
Fractional differentiability self-similar function Mittag-Leffler function
2010/9/14
This short note focuses on the relation between fractional differentiability, self-similarity and the Mittag-Leffler function, and tries to clarify the origin and the very reason for introducing fract...