63 citations · 135 across the 6 of their papers we have counts for
6 papers
Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials
Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres
We introduce a new numerical method, based on Bernoulli polynomials, for solving multiterm variable-order fractional differential equations. The variable-order fractional derivativ…
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…
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…
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…
Legendre wavelet collocation method combined with the Gauss--Jacobi quadrature for solving fractional delay-type integro-differential equations
S. Nemati, P. M. Lima, S. Sedaghat
In this work, we present a collocation method based on the Legendre wavelet combined with the Gauss--Jacobi quadrature formula for solving a class of fractional delay-type integro-…
A numerical approach for solving fractional optimal control problems using modified hat functions
Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres
We introduce a numerical method, based on modified hat functions, for solving a class of fractional optimal control problems. In our scheme, the control and the fractional derivati…