2 citations · 3 across the 9 of their papers we have counts for
9 papers
Fractional partial differential variational inequality
Jinxia Cen, J. Vanterler da C. Sousa, Wei Wu
In this present paper, we introduce and study a dynamical systems involving fractional derivative operator and nonlocal condition, which is constituted of a fractional evolution eq…
Existence and multiplicity for fractional Dirichlet problem with -Laplacian equation and Nehari manifold
J. Vanterler da C. Sousa, D. S. Oliveira, Ravi P. Agarwal
This paper is divided in two parts. In the first part, we prove coercivity results and minimization of the Euler energy functional. In the second part, we focus on the existence an…
[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…
Existence and multiplicity of solutions for fractional -Kirchhoff-type equation
J. Vanterler da C. Sousa, Kishor D. Kucche, Juan J. Nieto
In this paper, we aim to tackle the questions of existence and multiplicity of solutions to a new class of -Kirchhoff-type equation utilizing a variational approach. Further,…
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…