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Galerkin methods for fractional-stochastic systems
  • Mehmet Ali Akinlar,
  • Francisco Gómez,
  • Fatih Tasci
Mehmet Ali Akinlar
Bandirma Onyedi Eylul Universitesi
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Francisco Gómez
CENIDET
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Fatih Tasci
Yildiz Technical University
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Abstract

Applicability of undetermined coefficients methods to several fractional-stochastic models is investigated. These models are mostly generated by fractional-order derivative operators and include a fractional white noise term. Application of a polynomial chaos algorithm to stochastic Lotka-Volterra and Benney systems are also investigated. Fractional-stochastic equations considered in this paper are totally original systems which may serve as models for many scientific and engineering phenomena. It is pointed out that Galerkin type methods employed in this paper may be efficiently applied to fractional-order systems having uncertainty or a noise term.

Peer review status:UNDER REVIEW

01 Jun 2021Submitted to Mathematical Methods in the Applied Sciences
03 Jun 2021Assigned to Editor
03 Jun 2021Submission Checks Completed
05 Jun 2021Reviewer(s) Assigned