63 citations · 135 across the 6 of their papers we have counts for
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math.NA2019★ 16 cited
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…
math.NA2019★ 30 cited
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-…
math.OC2019★ 63 cited
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…