J. Vanterler da C. Sousa

most citedA new truncated

M

-fractional derivative type unifying some fractional derivative types with classical properties

24 citations · 30 across the 8 of their papers we have counts for

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math.CA2017★ 1 cited

On the $Ψ -$ fractional integral and applications

J. Vanterler da C. Sousa, E. Capelas de Oliveira

Motivated by the $Ψ$ -Riemann-Liouville $(Ψ - RL)$ fractional derivative and by the $Ψ$ -Hilfer $(Ψ - H)$ fractional derivative, we introduced a new fractional op…

math.CA2017★ 24 cited

A new truncated $M$ -fractional derivative type unifying some fractional derivative types with classical properties

J. Vanterler da C. Sousa, E. Capelas de Oliveira

We introduce a truncated $M$ -fractional derivative type for $α$ -differentiable functions that generalizes four other fractional derivatives types recently introduced by Khalil et a…

math.CA2017★ 2 cited

On the local $M$ -derivative

J. Vanterler da C. Sousa, E. Capelas de Oliveira

We introduce a new fractional derivative that generalizes the so-called alternative fractional derivative recently proposed by Katugampola. We denote this new differential operator…

On the Ψ−fractional integral and applications

A new truncated M-fractional derivative type unifying some fractional derivative types with classical properties

On the local M-derivative

On the $Ψ -$ fractional integral and applications

A new truncated $M$ -fractional derivative type unifying some fractional derivative types with classical properties

On the local $M$ -derivative