3 papers
math.AP2023
A Probabilistic Approach to the Existence of Solutions to Semilinear Elliptic Equations
Ma Elena Hernandez-Hernandez, Pablo Padilla-Longoria
We study a semilinear elliptic equation with a pure power nonlinearity with exponent , and provide sufficient conditions for the existence of positive solutions. These conditi…
math.AP2017
Generalised Fractional Evolution Equations of Caputo Type
M. E. Hernández-Hernández, V. N. Kolokoltsov, L. Toniazzi
This paper is devoted to the study of generalised time-fractional evolution equations involving Caputo type derivatives. Using analytical methods and probabilistic arguments we obt…
math.PR2017
On the solution of two-sided fractional ordinary differential equations of Caputo type
Ma. Elena Hernández-Hernández, Vassili N. Kolokoltsov
This paper provides well-posedness results and stochastic representations for the solutions to equations involving both the right- and the left-sided generalized operators of Caput…