24 citations · 30 across the 8 of their papers we have counts for
8 papers
[Generalized Telegraph equation with fractional -Laplacian
J. Vanterler da C. Sousa, Mbarki Lamine, Leandro S. Tavares
The purpose of this paper is devoted to \textcolor{red}{discussing} the existence of solutions for a generalized fractional telegraph equation involving a class of -Hilfer fract…
Fractional -Laplacian equations with sandwich pairs
J. Vanterler da C. Sousa
The main purpose of this paper is to consider new sandwich pairs and investigate the existence of solution for a new class of fractional differential equations with -Laplacian v…
Fractional Kirchhoff-type systems via sub-supersolutions method in
J. Vanterler da C. Sousa
In the present paper, we first establish a version of the abstract lower and upper-solution method for our class of operators. In this sense, we investigated the main objective of…
Fractional Kirchhoff-type and method of sub-supersolutions
J. Vanterler da C. Sousa
In the present paper, we are interested in investigating the existence of positive solutions of a new class of fractional Kirchhoff via the sub and supersolutions technique. For th…
Existence of solutions for a singular double phase problem involving a -Hilfer Fractional operator via Nehari Manifold
J. Vanterler da C. Sousa, Karla B. Lima, Leandro S. Tavares
In this present paper, we investigate a new class of singular double phase -Laplacian equation problems with a -Hilfer fractional operator combined from a parametric term. Mo…
On the fractional integral and applications
J. Vanterler da C. Sousa, E. Capelas de Oliveira
Motivated by the -Riemann-Liouville fractional derivative and by the -Hilfer fractional derivative, we introduced a new fractional op…
A new truncated -fractional derivative type unifying some fractional derivative types with classical properties
J. Vanterler da C. Sousa, E. Capelas de Oliveira
We introduce a truncated -fractional derivative type for -differentiable functions that generalizes four other fractional derivatives types recently introduced by Khalil et a…
On the local -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…