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An efficient operational matrix method for the numerical solutions of the fractional Bagley–Torvik equation using wavelets
In this paper, we apply a method which comprises of two methods Bernoulli wavelet operational matrix of derivative and integration to solve...
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A new graph theoretic analytical method for nonlinear distributed order fractional ordinary differential equations by clique polynomial of cocktail party graph
In this paper, we presented a new analytical method for one of the rapidly emerging branches of fractional calculus, the distributed order fractional...
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Bernstein and Gegenbauer-wavelet collocation methods for Bratu-like equations arising in electrospinning process
We propose two numerical techniques for solving Bratu-like equations arising in the electrospinning and vibration-electrospinning process. Due to the...
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Fractional rheology of colloidal hydrogels with cellulose nanofibers
AbstractColloidal gels are soft solids composed of particles dispersed in a fluid phase. Their rheological behavior highly depends on the particle...
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Continuum Thermomechanics
The core of this chapter is continuum mechanics and the principle of constitutive equation. Equilibrium and nonequilibrium thermodynamics are also... -
Theory of Linear Viscoelasticity
This chapter mainly introduces theories of one-dimensional linear viscoelasticity based on Boltzmann superposition and the concept of linear... -
Linear viscoelastic behaviour of complex polymeric materials: a fractional mode representation
A rheological constitutive equation for complex polymeric materials is derived starting from a special formulation of the relaxation function. This...