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RISA Quadratic Numerical Scheme for Fractional Optimal Control Problems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents a quadratic numerical scheme for a class of fractional optimal control problems (FOCPs). The fractional derivative is described in the Caputo sense. The performance index of ...
Analytical Solution for Stochastic Response of a Fractionally Damped Beam
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents a general analytical technique for stochastic analysis of a continuous beam whose damping characteristic is described using a fractional derivative model. In this formulation, ...
Fractional Optimal Control of a Distributed System Using Eigenfunctions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents a formulation and a numerical scheme for fractional optimal control (FOC) for a class of distributed systems. The fractional derivative is defined in the Caputo sense. The ...
General Approach to Dynamic Analysis of Rotorcraft
Publisher: American Society of Civil Engineers
Abstract: This paper presents a general‐purpose mathematical formulation for the dynamic analysis of a rotorcraft consisting of flexible or rigid components, or both, that may undergo large rotations. In this formulation, two sets ...
Models and Numerical Solutions of Generalized Oscillator Equations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we use three operators called K, A, and Boperators to define the equation of motion of an oscillator. In contrast to fractional integral and derivative operators which use fractional power kernels or their ...
Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than One
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents a numerical scheme for the solutions of Fractional Differential Equations (FDEs) of order α, 1<α<2 which have been expressed in terms of Caputo Fractional Derivative ...
A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents a numerical scheme for dynamic analysis of mechanical systems subjected to damping forces that are proportional to fractional derivatives of displacements. These equations ...
Fractional Optimal Control of Continuum Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents a formulation and a numerical scheme for fractional optimal control (FOC) of a class of continuum systems. The fractional derivative is defined in the Caputo sense. The ...
Numerical Scheme for a Quadratic Type Generalized Isoperimetric Constraint Variational Problems With A Operator
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents a numerical scheme for a class of isoperimetric constraint variational problems (ICVPs) defined in terms of an Aoperator introduced recently. In this scheme, Bernstein's polynomials are used to approximate ...
Comparison of Results Obtained by Solving the Radiative Transfer Equation with an Iterative Method and a Spherical Harmonies Method
Publisher: American Meteorological Society
Abstract: Fluxes and intensifies of light scattered by a model atmosphere are computed by a spherical harmonics approximation and by an iterative method of solving the radiative transfer equation and are compared. The large differences ...