731 citations · 12.8k across the 413 of their papers we have counts for
15 papers · 1 filter
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…
Numerical Optimal Control of HIV Transmission in Octave/MATLAB
Carlos Campos, Cristiana J. Silva, Delfim F. M. Torres
We provide easy and readable GNU Octave/MATLAB code for the simulation of mathematical models described by ordinary differential equations and for the solution of optimal control p…
Enlarged Controllability and Optimal Control of Sub-Diffusion Processes with Caputo Fractional Derivatives
Touria Karite, Ali Boutoulout, Delfim F. M. Torres
We investigate the exact enlarged controllability and optimal control of a fractional diffusion equation in Caputo sense. This is done through a new definition of enlarged controll…
Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations
Hyunsoo Kim, Rathinasamy Sakthivel, Amar Debbouche +1
In this article, exact traveling wave solutions of a Wick-type stochastic nonlinear Schrödinger equation and of a Wick-type stochastic fractional Regularized Long Wave-Burgers (RLW…
On Hermite-Hadamard type inequalities for harmonical -convex interval-valued functions
Dafang Zhao, Tianqing An, Guoju Ye +1
We introduce and investigate the concept of harmonical -convexity for interval-valued functions. Under this new concept, we prove some new Hermite-Hadamard type inequalities for…
A Finite Element Approximation for a Class of Caputo Time-Fractional Diffusion Equations
Moulay Rchid Sidi Ammi, Ismail Jamiai, Delfim F. M. Torres
We develop a fully discrete scheme for time-fractional diffusion equations by using a finite difference method in time and a finite element method in space. The fractional derivati…