Results 131 to 140 of about 10,839 (145)

Fractal-fractional modeling and stability analysis of pine wilt disease dynamics. [PDF]

PLoS One
Aldwoah K, Ahmed S, Jahan S, Touati A, EIjaneid N, AIjaaidi T.   +5 more
europepmc   +1 more source

Image information optimization processing based on fractional order differentiation and WT algorithm. [PDF]

PLoS One
Long Q.
europepmc   +1 more source

Fractional-Order Epidemic Model for Measles Infection. [PDF]

Scientifica (Cairo)
Akuka PNA, Seidu B, Okyere E, Abagna S.
europepmc   +1 more source

Chaotic Zeeman effect: a fractional diffusion-like approch. [PDF]

Sci Rep
Postavaru O, Stanescu MM.
europepmc   +1 more source

On generalized fractal-fractional derivative and integral operators associated with generalized Mittag-Leffler function. [PDF]

Heliyon
Khan H, Rahman G, Samraiz M, Shah K, Abdeljawad T.   +4 more
europepmc   +1 more source

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Fractional Ince equation with a Riemann–Liouville fractional derivative

Applied Mathematics and Computation, 2013
We extend the classical treatment of the Ince equation to include the effect of a fractional derivative term of order @a>0 and amplitude c. A Fourier expansion is used to determine the eigenvalue curves a(@?) in function of the parameter @?, the stability domains, and the periodic stable solutions of the fractional Ince equation.
Julio C. Gutiérrez-Vega, Alfredo Parra-Hinojosa   +1 more
openaire   +2 more sources

Initialization of Riemann-Liouville and Caputo Fractional Derivatives

Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 2011
Riemann-Liouville and Caputo fractional derivatives are fundamentally related to fractional integration operators. Consequently, the initial conditions of fractional derivatives are the frequency distributed and infinite dimensional state vector of fractional integrators.
Alain Oustaloup, Jean-Claude Trigeassou, Nezha Maamri   +2 more
openaire   +2 more sources

Fractional Langevin equation and Riemann-Liouville fractional derivative

The European Physical Journal E, 2007
In this present work we consider a fractional Langevin equation with Riemann-Liouville fractional time derivative which modifies the classical Newtonian force, nonlocal dissipative force, and long-time correlation. We investigate the first two moments, variances and position and velocity correlation functions of this system.
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Fractional Approximation by Riemann–Liouville Fractional Derivatives

2020
In this chapter we study quantitatively with rates the pointwise convergence of a sequence of positive sublinear operators to the unit operator over continuous functions. This takes place under low order smoothness, less than one, of the approximated function and it is expressed via the left and right Riemann–Liouville fractional derivatives of it. The
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Diffusive representation of Riemann-Liouville fractional integrals and derivatives

2017 36th Chinese Control Conference (CCC), 2017
This paper presents a novel equivalent description of fractional-order integrals and derivatives via an auxiliary integral function of two variables. Employing the concept of Laguerre integration, a novel approximate scheme for the resulting infinite dimensional state space model is derived.
Baoli Ma, Yuxiang Guo
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