Search
Search Results
-
Investigation of the Dirac Equation by Using the Conformable Fractional Derivative
In this paper,the Dirac equation is constructed using the conformable fractional derivative so that in its limit for the fractional parameter, the...
-
On the Conformable Fractional Quantum Mechanics
In this paper, a conformable fractional quantum mechanic has been introduced using three postulates. Then in such a formalism, Schr¨odinger equation,...
-
Triad mode resonant interactions in suspended cables
A triad mode resonance, or three-wave resonance, is typical of dynamical systems with quadratic nonlinearities. Suspended cables are found to be rich...
-
Two dimensional fractional projectile motion in a resisting medium
In this paper we propose a fractional differential equation describing the behavior of a two dimensional projectile in a resisting medium. In order...
-
Interval analysis of transient temperature field with uncertain-but-bounded parameters
Based on the traditional finite volume method, a new numerical technique is presented for the transient temperature field prediction with interval...
-
Modified perturbation method for eigenvalues of structure with interval parameters
In overcoming the drawbacks of traditional interval perturbation method due to the unpredictable effect of ignoring higher order terms, a modified...
-
Geometrically nonlinear dynamic response of stiffened plates with moving boundary conditions
An approach is presented to investigate the nonlinear vibration of stiffened plates. A stiffened plate is divided into one plate and some stiffeners,...
-
Numerical analysis of uncertain temperature field by stochastic finite difference method
Based on the combination of stochastic mathematics and conventional finite difference method, a new numerical computing technique named stochastic...
-
A discrete time method to the first variation of fractional order variational functionals
The fact that the first variation of a variational functional must vanish along an extremizer is the base of most effective solution schemes to solve...
-
Numerical approximations for fractional diffusion equations via a Chebyshev spectral-tau method
In this paper, a class of fractional diffusion equations with variable coefficients is considered. An accurate and efficient spectral tau technique...
-
RLC electrical circuit of non-integer order
In this work a fractional differential equation for the electrical RLC circuit is studied. The order of the derivative being considered is 0 < γ ≤ 1....
-
Lattice model with power-law spatial dispersion for fractional elasticity
A lattice model with a spatial dispersion corresponding to a power-law type is suggested. This model serves as a microscopic model for elastic...
-
Asymptotic stability with probability one of MDOF nonlinear oscillators with fractional derivative dam**
In this paper, the asymptotic stability with probability one of multi-degree-of-freedom (MDOF) nonlinear oscillators with fractional derivative...
-
Noether’s theorem for fractional variational problems of variable order
We prove a necessary optimality condition of Euler-Lagrange type for fractional variational problems with derivatives of incommensurate variable...
-
Analysis on the time and frequency domain for the RC electric circuit of fractional order
This paper provides an analysis in the time and frequency domain of an RC electrical circuit described by a fractional differential equation of the...
-
The effect of fractionality nature in differences between computer simulation and experimental results of a chaotic circuit
In practice, some differences are usually observed between computer simulation and experimental results of a chaotic circuit. In this paper, it is...
-
Numerical solution of fractionally damped beam by homotopy perturbation method
This paper investigates the numerical solution of a viscoelastic continuous beam whose dam** behaviours are defined in term of fractional...
-
Tuning fractional PID controllers for a Steward platform based on frequency domain and artificial intelligence methods
In this paper, two methods to tune a fractional-order PI λ D μ controller for a mechatronic system are presented. The first method is based on a...
-
Existence, uniqueness and limit property of solutions to quadratic Erdélyi-Kober type integral equations of fractional order
In this paper, we apply certain measure of noncompactness and fixed point theorem of Darbo type to derive the existence and limit property of...
-
Numerical solution of fractional differential equations via a Volterra integral equation approach
The main focus of this paper is to present a numerical method for the solution of fractional differential equations. In this method, the properties...