1 citations · 1 across the 3 of their papers we have counts for
3 papers
Energy Estimates for Fractional Evolution Equations
Paulo M. Carvalho-Neto, Cicero L. Frota, Juan C. Oyola Ballesteros +1
This work presents a more broadly applicable version of an energy inequality for weak solutions of evolution equations involving fractional time derivatives. Unlike the classical i…
A General Version of Carathéodory's Existence and Uniqueness Theorem
Paulo M. de Carvalho-Neto, Cícero L. Frota, Pedro G. P. Torelli
In this paper, we establish a general version of Carathéodory's existence and uniqueness theorem for a semilinear system of integro-differential equations arising from differential…
On the Initial Boundary Value Problem to the Time-Fractional Wave Equation with Acoustic Boundary Conditions
Paulo M. de Carvalho-Neto, Cícero L. Frota, Pedro G. P. Torelli
This paper is concerned with the study of the well-posedeness for the initial boundary value problem to the time-fractional wave equation with acoustic boundary conditions. The pro…