4 citations · 5 across the 4 of their papers we have counts for
4 papers
A new fractional derivative of variable order with non-singular kernel and fractional differential equations
J. Vanterler da C. Sousa, E. Capelas de Oliveira
In this paper, we introduce two new non-singular kernel fractional derivatives and present a class of other fractional derivatives derived from the new formulations. We present som…
A note on the Laplace transform and the variable-order differential operators
J. Vanterler da C. Sousa, E. Capelas de Oliveira
In this short note, using the variable-order differential operator introduced by means of the inverse Laplace transform \cite{coimbra}, we questioned the result obtained by Yang an…
The Minkowski's inequality by means of a generalized fractional integral
J. Vanterler da C. Sousa, E. Capelas de Oliveira
We use the definition of a fractional integral, recently proposed by Katugampola, to establish a generalization of the reverse Minkowski's inequality. We show two new theorems asso…
Mittag-Leffler functions and the truncated -fractional derivative
J. Vanterler da C. Sousa, E. Capelas de Oliveira
We introduce a new derivative, the so-called truncated -fractional derivative for -differentiable functions through the six parameters truncated Mittag-Leffler func…