J. Villa‐Morales

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20122025

most citedBlow up of mild solutions of a system of partial differential equations with distinct fractional diffusions

7 citations · 12 across the 10 of their papers we have counts for

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math.CA2023

Upper bounds for the blow-up time of a system of fractional differential equations with Caputo derivatives and a numerical scheme for the solution of the system

José Villa-Morales

The article provides upper bounds for the blow-up time of a system of fractional differential equations in the Caputo sense. Furthermore, concrete examples of blow-up time estimati…

math.CA2019

The set of $p$ -harmonic functions in $B_{1}$ is total in $C^{k} (B ˉ_{1})$

José Villa-Morales

Let $(- Δ_{p})^{s}$ , with $0 < s < 1 < p < \infty$ , be the fractional $p$ -Laplacian operator. We prove that the span of $p$ -harmonic functions in $B_{1}$ is dense in $C^{k} (B ˉ_{1})$ .

math.CA2012★ 7 cited

Blow up of mild solutions of a system of partial differential equations with distinct fractional diffusions

José Villa-Morales

We give a sufficient condition for blow up of positive mild solutions to an initial value problem for a nonautonomous weakly coupled system with distinct fractional diffusions. The…

Upper bounds for the blow-up time of a system of fractional differential equations with Caputo derivatives and a numerical scheme for the solution of the system

The set of p-harmonic functions in B1​ is total in Ck(Bˉ1​)

Blow up of mild solutions of a system of partial differential equations with distinct fractional diffusions

The set of $p$ -harmonic functions in $B_{1}$ is total in $C^{k} (B ˉ_{1})$