Journal Papers

  Refereed Journal Publications

  • E. Stanisaukis, S. Mashayekhi, P. Steinmann, W. Oates, Fractional and fractal order effects in soft elastomers: Strain rate and temperature dependent nonlinear mechanics, Mechanics of Materials, 2022, Accepted.
  • P. Beerli, H. Ashki, S. Mashayekhi, and M. Palczewski, Population divergence time estimation using individual lineage label switching, G3-Genes Genomes Genetics, 2022, DOI: 10.1093/g3journal/jkac040.
  • S. Mashayekhi, E. Stanisaukis, M. Hassani, W. Oates, Excluded volume effects and fractional viscoelasticity in polymers, Meccanica, 2021, DOI: 10.1007/s11012-01415-2.
  • S. Mashayekhi, S. Sedaghat, Fractional model of stem cell population dynamics, Chaos, Solitons Fractals, 2021, p. 110919.
  • S. Mashayekhi, L.Gr. Ixaru, The least-squares fit of highly oscillatory functions using Eta-based functions, Journal of Computational and Applied Mathematics, 2020, p. 112839.
  • P. Beerli, S. Mashayekhi, M. Sadegh, M. Khodaei, K. Shaw, Population genetic inference with MIGRATE, Current Protocols in Bioinformation, 2019, 68 (1), 28 pages.
  • S. Mashayekhi, M.Y. Hussaini, W. Oates, A physical interpretation of fractional viscoelasticity based on the fractal struture of media: Theory and experimental validation, Journal of the Mechanics and Physics of Solid, 2019, 128:137-150.
  • S. Mashayekhi, P. Beerli, The fractional coalescent, Proceeding of the National Academy of Sciences of the United State of America, 2019, 116:6244-6249.
  • S. Mashayekhi, P. Miles, M.Y. Hussaini and W. Oates, Fractional viscoelasticity in fractal media: Theory, experimenal validation, and uncertainity analysis, Journal of the Mechanics and Physics of Solids, 2018, 111:134-156.
  • V.S. Krishnasamy, S. Mashayekhi, M. Razzaghi, Solving fractional eqations numerically using fractional integral operational marices, IEEE/CAA Journal of Automatica Sinica, 2017, 4:98-106.
  • S. Mashayekhi, M. Razzaghi, An approximation method for solving fractional optimal problems by hybrid function, Journal of Vibration and Control, 2016, DOI: 10.1177/1077546316665956.
  • S. Mashayekhi, M. Razzaghi, Numerical solution of distributed order fractional differential equations by hybrid functions, Journal of Computational Physics, 2016, 315: 169-181.
  • S. Mashayekhi, M. Razzaghi, Numerical solution of the fractional Bagley-Torvik equation, Mathematical Methods in the Applied Scinces, 2016, 39: 353-365.
  • V. Calvert, S. Mashayekhi, M. Razzaghi, Solution of Lane-Emden type equations using Rational Bernoulli functions, Mathematical Methods in the Applied Scinces, 2016, 39: 1268-1284.
  • S. Mashayekhi, M. Razzaghi, and M. Wattanataweekul, Analysis of multi-delay and piecewise constant delay systems by hybrid function approximation, Differential Equations and Dynamical Systems, 2016, 24: 1-20.
  • S. Mashayekhi, M. Razzaghi, Numerical solution of nonlinear fractional integro-differential equations by hybrid functions, Engineering Analysis with Boundary Elements, 2015, 56: 81-89.
  • S. Mashayekhi, Y. Ordokhani, and M. Razzaghi, Hybrid functions approach for optimal control systems described by integro-differential equations, Applied Mathematical Modelling, 2013, 37: 3355-3368.
  • S. Mashayekhi, Y. Ordokhani, and M. Razzaghi, A hybrid functions approach for the Duffing equation, Physica Scripta, 2013, 88: p. 025002.
  • S. Mashayekhi, Y. Ordokhani, and M. Razzaghi, Hybrid functions approach for nonlinear constrained optimal control problems, Communications in Nonlinear Science and Numerical Simulation, 2012, 17: 1831-1843.

Refereed Proceedings

  • W. Oates, E. Stanisaukis, B. Pahari, and S. Mashayekhi, Entropy dynamics approach to fractional mechanics with experimental validation on auxetic foams and dielectric elastomers, Proc. Behavior and Mechanics of Multifunctional Materials XV, Online Only, 22-27 March, 2021.
  • E. Stanisaukis, H. Solheim, S. Mashayekhi, P. Miles, and W. Oates, Modeling, experimental characterization, and uncertainty quantification of auxetic foams: hyperelastic and fractional viscoelastic mechanics, Proc. Behavior and Mechanics of Multifunctional Materials IX, Online Only, 27 April- 8 May, 2020.
  • W. Oates, P. Miles, W. Gao, J. Clark, S. Mashayekhi, and M.Y. Hussaini, Rate dependent constitutive behavior of dielectric elastomers and applications in legged robotics, Proc. SPIE Smart Structures and Materials+Nondestructive Evaluation and Health Monitoring, Portland, Oregan, March 26-29, 2017.
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