253 citations · 640 across the 9 of their papers we have counts for
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A numerical method to solve higher-order fractional differential equations
Ricardo Almeida, Nuno R. O. Bastos
In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation form…
An approximation formula for the Katugampola integral
Ricardo Almeida, Nuno R. O. Bastos
The objective of this paper is to present an approximation formula for the Katugampola fractional integral, that allows us to solve fractional problems with dependence on this type…
Modelling some real phenomena by fractional differential equations
Ricardo Almeida, Nuno R. O. Bastos, M. Teresa T. Monteiro
This paper deals with fractional differential equations, with dependence on a Caputo fractional derivative of real order. The goal is to show, based on concrete examples and experi…