1.3k citations · 3.4k across the 45 of their papers we have counts for
54 papers
The Variable-Order Fractional Calculus of Variations
Ricardo Almeida, Dina Tavares, Delfim F. M. Torres
This book intends to deepen the study of the fractional calculus, giving special emphasis to variable-order operators. It is organized in two parts, as follows. In the first part,…
A survey on fractional variational calculus
Ricardo Almeida, Delfim F. M. Torres
Main results and techniques of the fractional calculus of variations are surveyed. We consider variational problems containing Caputo derivatives and study them using both indirect…
Fractional differential equations with mixed boundary conditions
Ricardo Almeida
In this paper, we discuss the existence and uniqueness of solutions of a boundary value problem for a fractional differential equation of order , involving a general for…
Non-invasive control of the fractional Hegselmann-Krause type model
Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
In this paper, the fractional order Hegselmann-Krause type model with leadership is studied.We seek an optimal control strategy for the system to reach a consensus in such a way th…
A Gronwall inequality for a general Caputo fractional operator
Ricardo Almeida
In this paper we present a new type of fractional operator, which is a generalization of the Caputo and Caputo--Hadamard fractional derivative operators. We study some properties o…
Combined Fractional Variational Problems of Variable Order and Some Computational Aspects
Dina Tavares, Ricardo Almeida, Delfim F. M. Torres
We study two generalizations of fractional variational problems by considering higher-order derivatives and a state time delay. We prove a higher-order integration by parts formula…