most citedEnergy Estimates for Fractional Evolution Equations

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math.AP2025★ 1 cited

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…

math.AP2023

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…