In this paper, the transient response of a viscoelastic annular plate which has time-dependent properties is determined mathematically under dynamic transverse load. The axisymmetric conditions are considered in the problem. The viscoelastic properties obey the standard linear solid model in shear and the bulk behavior in elastic. The equations of motion are extracted using Hamilton’s principle...

in this paper the bagley-torvik equation as a prototype fractional differential equation with two derivatives is investigated by means of homotopy perturbation method. the results reveal that the present method is very effective and accurate.

In this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. These equations equip a significant mathematical model for dynamical systems. The accuracy o...

a bstract    background: one of the acutely fatal and prevalent crises in all societies is acute spinal cord injury. individuals with a spinal cord injury are prone to numerous challenges, perturbation, and acute mental distresses. one of their concerns, often expressed generally and in the form of a complaint, is how people deal with them.  the present study aims to analyze the experiences and...

Abstract Chua’s circuit is an electronic that exhibits nonlinear dynamics. In this paper, a new model for obtained by transforming the classical of into novel forms various fractional derivatives. The system then named model. modified analyzed optimal perturbation iteration method. Illustrations are given to show applicability algorithms, and effective graphics sketched comparison purposes newl...

Solutions of semi-classical Schrödinger equation with isotropic harmonic potential focus periodically in time. We study the perturbation of this equation by a nonlinear term. If the scaling of this perturbation is critical, each focus crossing is described by a nonlinear scattering operator, which is therefore iterated as many times as the solution passes through a focus. The study of this nonl...

Considering a general vector optimization problem, we attach to it by means of perturbation theory new vector duals. When the primal problem and the perturbation function are particularized different vector dual problems are obtained. In the special case of a constrained vector optimization problem the classical Wolfe and Mond-Weir duals to the latter, respectively, can be obtained from the gen...