P. M. Carvalho-Neto, C. L. Frota, P. G. P. Torelli, A general version of Carathéodory’s existence and uniqueness theorem - (in English)
P. M. Carvalho-Neto, C. L. Frota, J. C. Oyola Ballesteros, P. G. P. Torelli, Energy Estimates for Fractional Evolution Equations - (in English)
J. V. Baca, P. M. Carvalho-Neto, C. E. T. Ledesma, J. A. Rodriguez, Existence and uniqueness of solution for a problem involving the $\psi$-Hilfer derivative of order grater than one - (in English)
P. M. Carvalho-Neto, R. Fehlberg Júnior, On Continuously Differentiable Vector-Valued Functions of Non-Integer Order - (in English)
T. A. S. Boza, P. M. Carvalho-Neto, Space-Dependent Fractional Evolution Equations: A New Approach - (in English)
P. M. Carvalho-Neto, C. E. T. Ledesma, There and Back Again: Revisiting the Failure of Concatenation in Mittag-Leffler Functions - (in English)
J. M. M. Aranda, P. M. Carvalho-Neto, R. Fehlberg Júnior, G. M. Souto, A Survey and New Insights into Fractional Linear Systems.
P. M. Carvalho-Neto, R. Fehlberg Júnior, G. M. Souto, Fractional Semigroups: A General Theory.
P. M. Carvalho-Neto, C. L. Frota, P. G. P. Torelli, On the Initial Boundary Value Problem for the Time-Fractional Wave Equation with Acoustic Boundary Conditions II.
P. M. Carvalho-Neto, J. C. Oyola Ballesteros, A New Approach for the 2D Navier-Stokes Equations With Time Fractional Derivative in Bounded Domains
P. M. Carvalho-Neto, R. Ponce, A. N. O. Sousa, Abstract Differential Equations with Fractional Time Derivative: An Introductory Exploration of Dynamics.
P. M. Carvalho-Neto, G. Planas - Convergence of Mainardi Functions to the Translated Dirac Delta and Its Implications for Linear Semigroups.
P. M. Carvalho-Neto, J. C. Oyola Ballesteros, A New Approach for the Unsteady Stokes Equations With Time Fractional Derivative in Bounded Domains, Chaos, Solitons & Fractals 208, Part 4, July 2026, 118268 - (in English)
P. M. Carvalho-Neto, C. L. Frota, P. G. P. Torelli, On the Initial Boundary Value Problem for the Time-Fractional Wave Equation with Acoustic Boundary Conditions, Bull Braz Math Soc, New Series (2026) 57:21 - (in English)
P. M. Carvalho-Neto, R. Fehlberg Júnior, The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces IV, Fract. Calc. Appl. Anal. (2026) - (in English)
P. M. Carvalho-Neto, R. Fehlberg Júnior, The Riemann–Liouville fractional integral in Bochner–Lebesgue spaces III, J. Math. Anal. Appl. 543 (2025) 129023 - (in English)
P. M. Carvalho-Neto, R. Fehlberg Júnior, The Riemann–Liouville fractional integral in Bochner–Lebesgue spaces II, Fract. Calc. Appl. Anal. 27 (2024) 1–20 - (in English)
P. M. Carvalho-Neto, A survey on an important inequality to fractional differential equations, Rev. Eletrôn. Paul. Mat. 22 (2022) 246–252 - (in English)
P. M. Carvalho-Neto, Abstract differential equations and Caputo fractional derivative, Semigroup Forum 104 (2022) 561–583 - (in English)
P. M. Carvalho-Neto, R. Fehlberg Júnior, The Riemann–Liouville fractional integral in Bochner–Lebesgue spaces I, Commun. Pure Appl. Anal. 21 (2022) 3667–3684 - (in English)
P. M. Carvalho-Neto, R. Fehlberg Júnior, On the fractional version of Leibniz rule, Math. Nachr. 294 (2020) e201900097 - (in English)
M. J. Lazo, G. S. F. Frederico, P. M. Carvalho-Neto, Noether-type theorem for fractional variational problems depending on fractional derivatives of functions, Appl. Anal. 2019 (2019) 1–17 - (in English)
P. M. Carvalho-Neto, R. Fehlberg Júnior, Conditions for the absence of blowing up solutions to fractional differential equations, Acta Appl. Math. 152 (2017) 1–15 - (in English)
P. M. Carvalho-Neto, G. Planas, Mild solutions to the time fractional Navier-Stokes equations, J. Differential Equations 259 (2015) 2948-2980 - (in English)
A. N. Carvalho, P. M. Carvalho-Neto, P. Marín-Rubio, B. de Andrade, Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results, Topol. Methods Nonlinear Anal. 45 (2015) 439–472 - (in English)
P. M. Carvalho-Neto, P. A. Liboni Filho, A mean value theorem for metric spaces, Math. Nachr. 288 (2015) 509-524 - (in English)
P. M. Carvalho-Neto, Fractional Differential Equations: a Novel Study of Local and Global Solutions in Banach spaces, Ph.D. Thesis, Universidade de São Paulo, São Carlos (2013) - (in English)
P. M. Carvalho-Neto, Navier–Stokes Equations with Navier-Type Friction Boundary Conditions, M.Sc. Dissertation, Universidade de São Paulo, São Carlos (2010) - (in Portuguese)