3 papers
math.OC2020
Application of Bernoulli Polynomials for Solving Variable-Order Fractional Optimal Control-Affine Problems
Somayeh Nemati, Delfim F. M. Torres
We propose two efficient numerical approaches for solving variable-order fractional optimal control-affine problems. The variable-order fractional derivative is considered in the C…
math.NA2020
Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets
Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres
We propose a spectral collocation method, based on the generalized Jacobi wavelets along with the Gauss-Jacobi quadrature formula, for solving a class of third-kind Volterra integr…
math.NA2019
A new spectral method based on two classes of hat functions for solving systems of fractional differential equations and an application to respiratory syncytial virus infection
Somayeh Nemati, Delfim F. M. Torres
We propose a new spectral method, based on two classes of hat functions, for solving systems of fractional differential equations. The fractional derivative is considered in the Ca…