8 citations · 8 across the 4 of their papers we have counts for
4 papers
There and Back Again: Revisiting the Failure of Concatenation in Mittag-Leffler Functions
Paulo M. Carvalho-Neto, Cesar E. T. Ledesma
The function is widely regarded as the fractional analogue of the exponential function, yet its algebraic properties remain poorly understood. In particular,…
Fractional tempered variational calculus
César E. Torres Ledesma, Gastao F. Frederico, Manuel M. Bonilla +1
In this paper, we derive sufficient conditions ensuring the existence of a weak solution for a tempered fractional Euler-Lagrange equations $$ \frac{\partial L}{\partial x}(u,{…
Existence and multiplicity of solutions for a nonlinear Schrödinger equation with non-local regional diffusion
Claudianor O. Alves, César E. Torres Ledesma
In this article we are interested in the following non-linear Schrödinger equation with non-local regional diffusion $$ (-Δ)_{ρ_ε}^αu + u = f(u) \hbox{ in } \mathbb{R}^n, \quad u \…
Existence and concentration of solution for a non-local regional Schrödinger equation with competing potentials
Claudianor O. Alves, César E. Torres Ledesma
In this paper, we study the existence and concentration phenomena of solutions for the following non-local regional Schrödinger equation $$ \left\{ \begin{array}{l} ε^{2α}(-Δ)_ρ^α…