Computational methods for pigmented skin lesion classification in images: review and future trends

RB Oliveira, JP Papa, AS Pereira… - Neural Computing and …, 2018 - Springer
Skin cancer is considered as one of the most common types of cancer in several countries,
and its incidence rate has increased in recent years. Melanoma cases have caused an …

[图书][B] Fractal geometry: mathematical foundations and applications

K Falconer - 2004 - books.google.com
Since its original publication in 1990, Kenneth Falconer's Fractal Geometry: Mathematical
Foundations and Applications has become a seminal text on the mathematics of fractals. It …

[HTML][HTML] Table of some basic fractional calculus formulae derived from a modified Riemann–Liouville derivative for non-differentiable functions

G Jumarie - Applied Mathematics Letters, 2009 - Elsevier
In order to cope with some difficulties due to the fact that the derivative of a constant is not
zero with the commonly accepted Riemann–Liouvile definition of fractional derivatives, one …

Speaker identification and clustering using convolutional neural networks

Y Lukic, C Vogt, O Dürr… - 2016 IEEE 26th …, 2016 - ieeexplore.ieee.org
Deep learning, especially in the form of convolutional neural networks (CNNs), has triggered
substantial improvements in computer vision and related fields in recent years. This …

[HTML][HTML] Laplace's transform of fractional order via the Mittag–Leffler function and modified Riemann–Liouville derivative

G Jumarie - Applied Mathematics Letters, 2009 - Elsevier
We propose a (new) definition of a fractional Laplace's transform, or Laplace's transform of
fractional order, which applies to functions which are fractional differentiable but are not …

A computational approach for detecting pigmented skin lesions in macroscopic images

RB Oliveira, N Marranghello, AS Pereira… - Expert Systems with …, 2016 - Elsevier
Skin cancer is considered one of the most common types of cancer in several countries and
its incidence rate has increased in recent years. Computational methods have been …

[HTML][HTML] Cauchy's integral formula via the modified Riemann–Liouville derivative for analytic functions of fractional order

G Jumarie - Applied Mathematics Letters, 2010 - Elsevier
The modified Riemann–Liouville fractional derivative applies to functions which are
fractional differentiable but not differentiable, in such a manner that they cannot be analyzed …

Computational diagnosis of skin lesions from dermoscopic images using combined features

RB Oliveira, AS Pereira, JMRS Tavares - Neural Computing and …, 2019 - Springer
There has been an alarming increase in the number of skin cancer cases worldwide in
recent years, which has raised interest in computational systems for automatic diagnosis to …

[PDF][PDF] On the controllability of fractional dynamical systems

K Balachandran, J Kokila - International Journal of Applied …, 2012 - sciendo.com
This paper is concerned with the controllability of linear and nonlinear fractional dynamical
systems in finite dimensional spaces. Sufficient conditions for controllability are obtained …

On the derivative chain-rules in fractional calculus via fractional difference and their application to systems modelling

G Jumarie - Central European Journal of Physics, 2013 - Springer
It has been pointed out that the derivative chains rules in fractional differential calculus via
fractional calculus are not quite satisfactory as far as they can yield different results which …