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A new collection of real world applications of fractional calculus in science and engineering
Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …
discussed and applied to real world applications in many branches of science and …
Application of DQHFEM for free and forced vibration, energy absorption, and post-buckling analysis of a hybrid nanocomposite viscoelastic rhombic plate assuming …
Vibrations and stability responses are two mechanical characteristics of engineering
materials that are highly important for designing new engineering structures. This numerical …
materials that are highly important for designing new engineering structures. This numerical …
[HTML][HTML] Nonlocal vibrations and stabilities in parametric resonance of axially moving viscoelastic piezoelectric nanoplate subjected to thermo-electro-mechanical …
This work is motivated by the self-powered component of biomedical nano-robotic device
which is expected to move in arterial blood vessels. The transverse vibrations and steady …
which is expected to move in arterial blood vessels. The transverse vibrations and steady …
[HTML][HTML] An application of Genocchi wavelets for solving the fractional Rosenau-Hyman equation☆
In this research, Genocchi wavelets method, a quite new type of wavelet-like basis, is
adopted to obtain a numerical solution for the classical and time-fractional Rosenau-Hyman …
adopted to obtain a numerical solution for the classical and time-fractional Rosenau-Hyman …
[HTML][HTML] Analysis of fractional Euler-Bernoulli bending beams using Green's function method
This paper deals with the effect of fractional order on the fractional Euler-Bernoulli beams
model. This model is based on the elastic curve that can be approximated using tangent …
model. This model is based on the elastic curve that can be approximated using tangent …
Investigation of the longitudinal magnetic field effect on dynamic response of viscoelastic graphene sheet based on sinusoidal shear deformation theory
This research aims to investigate the influence of a longitudinal magnetic field on the
dynamic response of single-layered graphene sheet (SLGS) resting on viscoelastic …
dynamic response of single-layered graphene sheet (SLGS) resting on viscoelastic …
Analytical solutions for multi-term time-space fractional partial differential equations with nonlocal dam** terms
In this paper, we consider the analytical solutions of multi-term time-space fractional partial
differential equations with nonlocal dam** terms for general mixed Robin boundary …
differential equations with nonlocal dam** terms for general mixed Robin boundary …
[HTML][HTML] Mathematical model of damped elastic rod oscillations with dual-phase-lag
By introducing relaxation summands in the formula of Hooke's law, in order to consider the
finite propagation velocity of stress and deformations, an equation for damped oscillations of …
finite propagation velocity of stress and deformations, an equation for damped oscillations of …
The fractional derivative Kelvin–Voigt model of viscoelasticity with and without volumetric relaxation
YA Rossikhin, MV Shitikova - Journal of Physics: Conference …, 2018 - iopscience.iop.org
Abstract The fractional derivative Kelvin–Voigt model of viscoelasticity involving the time-
dependent Poisson's operator has been studied not only for the case of a time-independent …
dependent Poisson's operator has been studied not only for the case of a time-independent …
Mathematical modelling of thermal dynamic stresses on the basis of a dual–Phase lag model
Using the modified Hooke's law equation that takes into account the relaxation of stresses
and strains, we have obtained the relaxed thermal dynamic stresses equation that includes …
and strains, we have obtained the relaxed thermal dynamic stresses equation that includes …