Convergence of the balanced Euler method for a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients
Sign Up to like & getrecommendations! Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.03.010
Abstract: Abstract In this paper, we propose the balanced Euler method of a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients. The moment boundedness and strong convergence are shown. Moreover, the theoretical results… read more here.
Keywords: stochastic volterra; balanced euler; method class; class stochastic ... See more keywords
A novel Petrov-Galerkin method for a class of linear systems of fractional differential equations
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DOI: 10.1016/j.apnum.2021.07.012
Abstract: Abstract This paper presents a novel Petrov-Galerkin method for a class of linear systems of fractional differential equations. New fractional-order generalized Jacobi functions are introduced, and their approximation properties are investigated. We show that these… read more here.
Keywords: novel petrov; method; galerkin method; method class ... See more keywords
An adaptive RBF neural network control method for a class of nonlinear systems
Sign Up to like & getrecommendations! Published in 2018 at "IEEE/CAA Journal of Automatica Sinica"
DOI: 10.1109/jas.2017.7510820
Abstract: This paper focuses on designing an adaptive radial basis function neural network U+0028 RBFNN U+0029 control method for a class of nonlinear systems with unknown parameters and bounded disturbances. The problems raised by the unknown… read more here.
Keywords: system; method class; method; neural network ... See more keywords