731 citations · 12.8k across the 413 of their papers we have counts for
420 papers
Generalized Taylor's formula for power fractional derivatives
Hanaa Zitane, Delfim F. M. Torres
We establish a new generalized Taylor's formula for power fractional derivatives with nonsingular and nonlocal kernels, which includes many known Taylor's formulas in the literatur…
The Lotka-Volterra Dynamical System and its Discretization
Márcia Lemos-Silva, Delfim F. M. Torres
Dynamical systems are a valuable asset for the study of population dynamics. On this topic, much has been done since Lotka and Volterra presented the very first continuous system t…
An Analytic Method to Determine the Optimal Time for the Induction Phase of Anesthesia
Mohamed A. Zaitri, Cristiana J. Silva, Delfim F. M. Torres
We obtain an analytical solution for the time-optimal control problem in the induction phase of anesthesia. Our solution is shown to align numerically with the results obtained fro…
Optimal control for a nonlinear stochastic PDE model of cancer growth
Sakine Esmaili, M. R. Eslahchi, Delfim F. M. Torres
We study an optimal control problem for a stochastic model of tumour growth with drug application. This model consists of three stochastic hyperbolic equations describing the evolu…
A Lotka-Volterra type model analyzed through different techniques
Jorge Pinto, Sandra Vaz, Delfim F. M. Torres
We consider a modified Lotka-Volterra model applied to the predator-prey system that can also be applied to other areas, for instance the bank system. We show that the model is wel…
Numerical Investigation of the Fractional Oscillation Equations under the Context of Variable Order Caputo Fractional Derivative via Fractional Order Bernstein Wavelets
Ashish Rayal, Bhagawati Prasad Joshi, Mukesh Pandey +1
This article describes an approximation technique based on fractional order Bernstein wavelets for the numerical simulations of fractional oscillation equations under variable orde…