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Boundary Value Problems for Differential Equations of Fractional Order
Boundary Value Problems Fractional Order
2012/8/10
We carry out spectral analysis of one class of integral op-
erators associated with fractional order differential equations that arise in
mechanics. We establish a connection between the eigenvalues...
Modified projective synchronization of fractional-order chaotic systems with different dimensions
Modified projective synchronization Fractional-order chaotic systems Laplace transformation
2011/10/18
In this letter, the modified projective synchronization between two fractional-order chaotic systems with different dimensions is investigated. The added-order scheme and the reduced-order scheme are ...
Numerical Chaos in a Fractional Order Logistic Map
Numerical Chaos Fractional Order Logistic Map
2010/11/17
In this paper we investigate a fractional order logistic map and its discrete time dynamics. We show some basic properties of the fractional logistic map and numerically study its period-doubling rout...
Homotopy perturbation method for fractional-order Burgers-Poisson equation
Homotopy perturbation Burgers-Poisson equation time derivative
2010/4/2
In this paper, the fractional-order Burgers-Poisson equation is introduced by replacing the first-order time derivative by fractional derivative of order $\alpha$. Both exact and approximate explicit ...
FRACTIONAL ORDER EVOLUTION EQUATION INTERPOLATING BOTH HEAT AND WAVE EQUATION
Fractional evolution equation Mittag-Le
2007/8/7
In this paper we consider a class of fractional order evolution equations which interpolates the heat equation and wave equation. By Mittag-Lefflers functions[1] and functions transform the representa...