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Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7306
Abstract: An innovative numerical procedure for solving the viscoelastic arch problem based on variable fractional rheological models, directly in time domain, is proposed and investigated. First, the nonlinear integral‐differential governing equation is established according to the…
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Keywords:
arch;
analysis;
variable fractional;
shifted legendre ... See more keywords
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Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2019.04.140
Abstract: Abstract In this paper, a variable fractional-order muscular blood vessel system under the influence of different external disturbances is proposed. Specifically, those external disturbances includes periodic forces, stochastic signal and time delay force. Its dynamical…
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Keywords:
external disturbances;
complexity;
muscular blood;
blood vessel ... See more keywords
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Published in 2023 at "Thermal Science"
DOI: 10.2298/tsci23s1195s
Abstract: We establish a powerful numerical algorithm to compute numerical solutions of coupled system of variable fractional order differential equations. Our numer?ical procedure is based on Bernstein polynomials. The mentioned polynomials are non-orthogonal and have the…
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Keywords:
order differential;
method;
differential equations;
fractional order ... See more keywords