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Claudio Cuevas

Claudio Cuevas

LiveDNA ID: 55.9636
92 Publications
0 Editorial Roles
0 Projects

About

Professional Summary

Dr. Claudio Cuevas is currently working as Faculty member of Federal University of Pernambuco, Brazil. He has completed his Ph.D. in Mathematics from same University. Previously he was appointed as Visiting Professor at University of La Frontera Temuco, Chile, CNRS Research Fellow at Universite de Nantes Nantes, France, and Visiting Professor at University of ICMC - Sao Carlos, and University of Santiago Santiago, Chile, and Research Visitor at Universite de Nantes, Nantes, France, and Visiting Professor at University of Chile Santiago, Chile. His main area of research interest focuses on Difference Equations, Periodicity and Ergodicity, Dispersive Estimates, Fractional Differential Equations, Functional Differential Equations, and Integral and Integro-Differential Equations. Dr. Claudio received honor includes Prize University of Santiago, Chile, best graduating student, invited as main speakers to several international mathematical congress, and Research Fellow under Agreement Brazil/France in Mathematics, CNPq-CNRS. He is also serving as member of 27 scientific committees. He has published 1 book, and 89 research articles in journals contributed as author/co-author. He also directed 11 PhD thesis, and 1 postdoctoral student. He is member of editorial board in more than 32 journals and referee for 58 journals.

Education

Academic Background
  • Ph.D. Federal University of Pernambuco, Brazil Mathematics | Completed: 1996

Publications (92)

Selected Scholarly Contributions
On the fractional chemotaxis Navier-Stokes system in the critical spaces.
Azevedo, J., C. Cuevas, J. Dantas and C. Silva,
Am. Inst. Math. Sci., | Journal Article
10.3934/dcdsb.2022088
Self Claudio Cuevas
2023
On the fractional doubly parabolic Keller-Segel system modelling chemotaxis.
Bezerra, M., C. Cuevas, C. Silva and H. Soto,
Sci. China Math., | Journal Article
10.1007/s11425-020-1846-x
Self Claudio Cuevas
2022
Well-posedness and asymptotic behavior for the fractional Keller-Segel system in critical Besov-Herz-type spaces.
Azevedo, J., M. Bezerra, C. Cuevas and H. Soto,
Math Methods Appl. Sci., | Journal Article
10.1002/mma.8169
Self Claudio Cuevas
2022
On the time-fractional Keller-Segel model for chemotaxis.
Cuevas, C., C. Silva and H. Soto,
Math. Meth. Appl. Sci., | Journal Article
10.1002/mma.5959
Self Claudio Cuevas
2020
Existence and asymptotic behaviour for the time‐fractional Keller–Segel model for chemotaxis.
Azevedo, J., C. Cuevas and E. Henriquez,
Math. Nachrichten, | Journal Article
10.1002/mana.201700237
Self Claudio Cuevas
2019
Existence of a positive solution and numerical solution for some elliptic superlinear problem.
Cecílio, D.L., C. Cuevas, J.G. Mesquita and P. Ubilla,
J. Differ. Equations, | Journal Article
10.1016/j.jde.2018.07.075
Self Claudio Cuevas
2019
About a composite fractional relaxation equation via regularized families.
Aparcana, A., C. Cuevas and H. Soto,
Sci. Iran. Transact. B Mech. Eng., | Journal Article
10.24200/SCI.2017.4319
Self Claudio Cuevas
2018
Fractional evolution equations and applications.
Aparcana, A., C. Cuevas, H. Henríquez and H. Soto,
Math. Methods Appl. Sci., | Journal Article
10.1002/mma.4662
Self Claudio Cuevas
2018
Qualitative theory for volterra difference equations.
Bernardo, F., C. Cuevas and H. Soto,
Math. Methods Appl. Sci., | Journal Article
10.1002/mma.5088
Self Claudio Cuevas
2018
Existence results for fractional integro-differential inclusions with state-dependent delay.
Siracusa, G., H.R. Henríquez and C. Cuevas,
Nonautonomous Dyn. Syst., | Journal Article
10.1515/msds-2017-0007
Self Claudio Cuevas
2017
Qualitative theory for strongly damped wave equations.
Azevedo, J., C. Cuevas and H. Soto,
Math. Method Appl. Sci., | Journal Article
10.1002/mma.4504
Self Claudio Cuevas
2017
Second order abstract neutral functional differential equations.
Henríquez, H.R. and C. Cuevas,
J. Dynam. Diff. Equat., | Journal Article
10.1007/s10884-015-9483-5
Self Claudio Cuevas
2017
Existence of solutions for a class of abstract neutral differential equations.
Henriquez, H.R, C. Cuevas, J.C. Pozo and H. Soto,
Discrete Continuous Dyn. Syst., | Journal Article
10.3934/dcds.2017106
Self Claudio Cuevas
2017
Asymptotic periodicity for flexible structural systems and applications.
De Andrade, B., C. Cuevas, C. Silva and H. Soto,
Acta Applicandae Mathematicae, | Journal Article
10.1007/s10440-015-0032-3
Self Claudio Cuevas
2016
Periodic solutions of abstract functional differential equations with state-dependent delay.
Andrade, F., C. Cuevas and H.R. Henriquez,
Math. Methods Applied Sci., | Journal Article
10.1002/mma.3837
Self Claudio Cuevas
2016
Discrete problems associated to elliptic equations.
Cuevas, C., H. Soto and P. Ubilla,
Math. Methods Applied Sci., | Journal Article
10.1002/mma.3942
Self Claudio Cuevas
2016
On fractional heat equations with non-local initial conditions.
De Andrade, B., C. Cuevas and H. Soto,
Proc. Edinburgh Math. Soc., | Journal Article
10.1017/S0013091515000590
Self Claudio Cuevas
2016
Almost periodicity for a nonautonomous discrete dispersive population model.
Cuevas, C., F. Dantas and H. Soto,
Numer. Funct. Anal. Optimiz., | Journal Article
10.1080/01630563.2016.1212373
Self Claudio Cuevas
2016
About a composite fractional relaxation equation via regularized families.
Aparcana, A., C. Cuevas and H. Soto,
Trans. Mech. Eng., | Journal Article
Self Claudio Cuevas
2015
Asymptotic periodicity for hyperbolic evolution equations and applications.
Andrade, F., C. Cuevas, C. Silva and H. Soto,
Applied Math. Comput., | Journal Article
10.1016/j.amc.2015.07.046
Self Claudio Cuevas
2015
Lp-boundedness and topological structure of solutions for flexible structural systems.
Andrade, F., C. Cuevas, F. Dantas and H. Soto,
Math. Methods Applied Sci., | Journal Article
10.1002/mma.3439
Self Claudio Cuevas
2015
Asymptotically periodic solutions of fractional differential equations.
Cuevas, C., H.R. Henriquez and H. Soto,
Applied Math. Comput., | Journal Article
10.1016/j.amc.2014.03.037
Self Claudio Cuevas
2014
Approximate controllability of second‐order distributed systems.
Henriquez, H.R. and C. Cuevas,
Math. Methods Applied Sci., | Journal Article
10.1002/mma.2983
Self Claudio Cuevas
2014
About the behavior of solutions for Volterra difference equations with infinite delay.
Castro, A., C. Cuevas, F. Dantas and H. Soto,
J. Comput. Applied Math., | Journal Article
10.1016/j.cam.2013.04.033
Self Claudio Cuevas
2014
Asymptotic analysis for Volterra difference equations.
Cuevas, C., M. Choquehuanca and H. Soto,
Asymptotic Anal., | Journal Article
Self Claudio Cuevas
2014
Semi-classical dispersive estimates.
Cardoso, F., C. Cuevas and G. Vodev,
Mathematische Zeitschrift, | Journal Article
10.1007/s00209-014-1314-6
Self Claudio Cuevas
2014
Existence of S-asymptotically ω-periodic solutions for two-times fractional order differential equations.
Cuevas, C. and C. Lizama,
Southeast Asian Bull. Math., | Journal Article
Self Claudio Cuevas
2013
Almost automorphy profile of solutions for difference equations of Volterra type.
Agarwal, R.P., C. Cuevas and F. Dantas,
J. Applied Math. Comput., | Journal Article
10.1007/s12190-012-0615-3
Self Claudio Cuevas
2013
lp-boundedness properties for Volterra difference equations.
Cuevas, C., F. Dantas, M. Choquehuanca and H. Soto,
Applied Math. Comput., | Journal Article
10.1016/j.amc.2012.12.053
Self Claudio Cuevas
2013
Asymptotically periodic solutions of neutral partial differential equations with infinite delay.
Henriquez, H.R., C. Cuevas and A. Caicedo,
Commun. Pure Applied Anal., | Journal Article
Self Claudio Cuevas
2013
Almost automorphy for abstract neutral differential equations via control theory.
Henriquez, H.R. and C. Cuevas,
Annali di Matematica Pura ed Applicata, | Journal Article
10.1007/s10231-011-0229-7
Self Claudio Cuevas
2013
High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates.
Cardoso, F., C. Cuevas and G. Vodev,
Annales Henri Poincare, | Journal Article
10.1007/s00023-012-0178-8
Self Claudio Cuevas
2013
Almost automorphic solutions of hyperbolic evolution equations.
De Andrade, B., C. Cuevas and E. Henriquez,
Banach J. Math. Anal., | Journal Article
Self Claudio Cuevas
2012
Analytic resolvent operator and existence results for fractional integro-differential equations.
Agarwal, R.P., J.P.C. dos Santos and C. Cuevas,
J. Abstract Differential Equations Applic., | Journal Article
Self Claudio Cuevas
2012
Pseudo almost automorphic solutions to fractional differential and integro-differential equations.
Cuevas, C., G.M. N'guerekata and A. Sepulveda,
Commun. Applied Anal., | Journal Article
Self Claudio Cuevas
2012
Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces.
Caicedo, A., C. Cuevas, G.M. Mophou and G.M. N'Guerekata,
J. Franklin Inst., | Journal Article
10.1016/j.jfranklin.2011.02.001
Self Claudio Cuevas
2012
Semilinear functional difference equations with infinite delay.
Agarwal, R.P., C. Cuevas and M.V. Frasson,
Math. Comput. Model., | Journal Article
10.1016/j.mcm.2011.09.033
Self Claudio Cuevas
2012
Asymptotic periodicity and almost automorphy for a class of Volterra integro‐differential equations.
Andrade, B., C. Cuevas and E. Henriquez,
Math. Methods Applied Sci., | Journal Article
10.1002/mma.1607
Self Claudio Cuevas
2012
On the existence of almost automorphic solutions of Volterra difference equations.
Cuevas, C., H.R. Henriquez and C. Lizama,
J. Difference Equations Applic., | Journal Article
10.1080/10236198.2011.603311
Self Claudio Cuevas
2012
Pseudo-almost periodic solutions of a class of semilinear fractional differential equations.
Agarwal, R.P., C. Cuevas and H. Soto,
J. Applied Math. Comput., | Journal Article
10.1007/s12190-010-0455-y
Self Claudio Cuevas
2011
Solutions of second order abstract retarded functional differential equations on the line.
Cuevas, C. and H. Henriquez,
J. Nonlinear Convex Anal., | Journal Article
Self Claudio Cuevas
2011
Asymptotic periodicity for some classes of integro-differential equations and applications.
Agarwal, R.P., B. de Andrade, C. Cuevas and E. Henriquez,
Adv. Math. Sci. Applic., | Journal Article
Self Claudio Cuevas
2011
Existence results for fractional neutral integro-differential equations with state-dependent delay.
Dos Santos, J.P.C., M.M. Arjunan and C. Cuevas,
Comput. Math. Applic., | Journal Article
10.1016/j.camwa.2011.03.048
Self Claudio Cuevas
2011
Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations.
Cuevas, C., A. Sepulveda and H. Soto,
Applied Math. Comput., | Journal Article
10.1016/j.amc.2011.06.054
Self Claudio Cuevas
2011
Asymptotic periodicity for some evolution equations in Banach spaces.
Agarwal, R.P., C. Cuevas, H. Soto and M. El-Gebeily,
Nonlinear Anal.: Theory Methods Applic., | Journal Article
10.1016/j.na.2010.10.051
Self Claudio Cuevas
2011
Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time.
Castro, A. and C. Cuevas,
J. Difference Equations Applic., | Journal Article
10.1080/10236190902936867
Self Claudio Cuevas
2011
Stabilization of distributed control systems with delay.
Henriquez, H.R., C. Cuevas, M. Rabelo and A. Caicedo,
Syst. Control Lett., | Journal Article
10.1016/j.sysconle.2011.04.012
Self Claudio Cuevas
2011
Well-posedness of second order evolution equation on discrete time.
Castro, A., C. Cuevas and C. Lizama,
J. Difference Equations Applic., | Journal Article
10.1080/10236190902791619
Self Claudio Cuevas
2010
A perturbation theory for the discrete harmonic oscillator equation.
Cuevas, C. and J.C. de Souza,
J. Difference Equations Applic., | Journal Article
10.1080/10236190902824204
Self Claudio Cuevas
2010
Existence of S-asymptotically ω-periodic solutions for fractional order functional integro-differential equations with infinite delay.
Cuevas, C. and J.C. de Souza,
Nonlinear Anal.: Theory Methods Applic., | Journal Article
10.1016/j.na.2009.09.007
Self Claudio Cuevas
2010
S-asymptotically w-periodic solutions of abstract partial neutral integro-differential equations.
Caicedo, A. and C. Cuevas,
Funct. Differential Equations, | Journal Article
Self Claudio Cuevas
2010
Semilinear evolution equations on discrete time and maximal regularity.
Cuevas, C. and C. Lizama,
J. Math. Anal. Applic., | Journal Article
10.1016/j.jmaa.2009.08.063
Self Claudio Cuevas
2010
S-asymptotically ω-periodic and asymptotically ω-periodic solutions to semi-linear Cauchy problems with non-dense domain.
De Andrade, B. and C. Cuevas,
Nonlinear Anal.: Theory Methods Applic., | Journal Article
10.1016/j.na.2009.12.016
Self Claudio Cuevas
2010
Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations.
Agarwal, R.P., B. de Andrade and C. Cuevas,
Nonlinear Anal.: Real World Applic., | Journal Article
10.1016/j.nonrwa.2010.01.002
Self Claudio Cuevas
2010
Pseudo-almost automorphic solutions to a class of semilinear fractional differential equations.
Cuevas, C., M. Rabelo and H. Soto,
Commun. Applied Nonlinear Anal., | Journal Article
Self Claudio Cuevas
2010
S-asymptotically ω-periodic solutions for semilinear Volterra equations.
Cuevas, C. and C. Lizama,
Math. Meth. Applied Sci., | Journal Article
10.1002/mma.1284
Self Claudio Cuevas
2010
Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations.
Cuevas, C. and M.V. Frasson,
Electron. J. Differential Equations, | Journal Article
Self Claudio Cuevas
2010
Mild solutions for impulsive neutral functional differential equations with state-dependent delay.
Cuevas, C., G.M. N'Guerekata and M. Rabelo,
Semigroup Forum, | Journal Article
10.1007/s00233-010-9213-6
Self Claudio Cuevas
2010
Asymptotically almost automorphic solutions of abstract fractional integro-differential neutral equations.
Dos Santos, J.P.C. and C. Cuevas,
Applied Math. Lett., | Journal Article
10.1016/j.aml.2010.04.016
Self Claudio Cuevas
2010
On type of periodicity and ergodicity to a class of integral equations with infinite delay.
Agarwal, R.P., B. de Andrade and C. Cuevas,
J. Nonlinear Convex Anal., | Journal Article
Self Claudio Cuevas
2010
Weighted exponential trichotomy of difference equations and asymptotic behavior of nonlinear systems.
Cuevas, C., L. del Campo and C. Vidal,
Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., | Journal Article
Self Claudio Cuevas
2010
Pseudo-almost periodic solutions for abstract partial functional differential equations.
Cuevas, C. and E. Hernandez,
Applied Math. Lett., | Journal Article
10.1016/j.aml.2008.06.026
Self Claudio Cuevas
2009
Dispersive estimates for the Schrodinger equation in dimensions four and five.
Cardoso, F., C. Cuevas and G. Vodev,
Asymptotic Anal., | Journal Article
Self Claudio Cuevas
2009
S-asymptotically ω-periodic solutions of semilinear fractional integro-differential equations.
Cuevas, C. and J.C. de Souza,
Applied Math. Lett., | Journal Article
10.1016/j.aml.2008.07.013
Self Claudio Cuevas
2009
Asymptotic expansion for difference equations with infinite delay.
Cuevas, C. and L. del Campo,
Asian-Eur. J. Math., | Journal Article
10.1142/S1793557109000030
Self Claudio Cuevas
2009
Exponential dichotomy and boundedness for retarded functional difference equations.
Cardoso, F. and C. Cuevas,
J. Difference Equations Applic., | Journal Article
10.1080/10236190802125330
Self Claudio Cuevas
2009
The existence of solutions for impulsive neutral functional differential equations.
Cuevas, C., E. Hernandez and M. Rabelo,
Comput. Math. Applic., | Journal Article
10.1016/j.camwa.2009.04.008
Self Claudio Cuevas
2009
Almost automorphic solutions to integral equations on the line.
Cuevas, C. and C. Lizama,
Semigroup Forum, | Journal Article
10.1007/s00233-009-9154-0
Self Claudio Cuevas
2009
Dispersive estimates for the Schrodinger equation with potentials of critical regularity.
Cardoso, F., C. Cuevas and G. Vodev,
Cubo, | Journal Article
Self Claudio Cuevas
2009
Compact almost automorphic solutions to semilinear Cauchy problems with non-dense domain.
De Andrade, B. and C. Cuevas,
Applied Math. Comput., | Journal Article
10.1016/j.amc.2009.09.025
Self Claudio Cuevas
2009
High frequency dispersive estimates for the Schrodinger equation in high dimensions.
Cardoso, F., C. Cuevas and G. Vodev,
Asymptotic Anal., | Journal Article
Self Claudio Cuevas
2009
On well-posedness of difference schemes for abstract elliptic problems in Lp([0,T];E) spaces.
Ashyralyev, A., C. Cuevas and S. Piskarev,
Numer. Funct. Anal. Optim., | Journal Article
Self Claudio Cuevas
2008
Weighted exponential trichotomy of linear difference equations.
Cuevas, C. and C. Vidal,
Dynamics Continuous Discrete Impulsive Syst. Ser. A, | Journal Article
Self Claudio Cuevas
2008
Weighted dispersive estimates for solutions of the Schrodinger equation.
Cardoso, F., C. Cuevas and G. Vodev,
Serdica Math. J., | Journal Article
Self Claudio Cuevas
2008
Weighted exponential trichotomy of difference equations.
Vidal, C., C. Cuevas and L. del Campo,
Dynamic Syst. Applic., | Journal Article
Self Claudio Cuevas
2008
Almost automorphic solutions to a class of semilinear fractional differential equations.
Cuevas, C. and C. Lizama,
Applied Math. Lett., | Journal Article
10.1016/j.aml.2008.02.001
Self Claudio Cuevas
2008
Maximal regularity of discrete second order Cauchy problems in Banach spaces.
Cuevas, C. and C. Lizama,
J. Difference Equations Applic., | Journal Article
10.1080/10236190701458857
Self Claudio Cuevas
2007
Lp'-Lp decay estimates of solutions to the wave equation with a short-range potential.
Cuevas, C. and G. Vodev,
Asymptotic Anal., | Journal Article
Self Claudio Cuevas
2006
Dispersive estimates of solutions to the wave equation with a potential in dimensions two and three.
Cardoso, F., C. Cuevas and G. Vodev,
Serdica Math. J., | Journal Article
Self Claudio Cuevas
2005
An asymptotic theory for retarded functional difference equations.
Cuevas, C. and L. del Campo,
Comput. Math. Applic., | Journal Article
10.1016/j.camwa.2004.06.032
Self Claudio Cuevas
2005
Sharp bound on the numbers of resonances for conformally compact manifolds with constants negative curvature near infinity.
Cuevas, C. and G. Vodev,
Matematica Contemporanea Braz. Math. Soc. Brazil, | Journal Article
Self Claudio Cuevas
2004
Convergent solutions of linear functional difference equations in phase space.
Cuevas, C. and M. Pinto,
J. Math. Anal. Applic., | Journal Article
10.1016/S0022-247X(02)00570-X
Self Claudio Cuevas
2003
Sharp bounds on the number of resonances for conformally compact manifolds with constant negative curvature near infinity.
Cuevas, C. and G. Vodev,
Commun. Partial Differential Equations, | Journal Article
10.1081/PDE-120024529
Self Claudio Cuevas
2003
Discrete dichotomies and asymptotic behavior for abstract retarded functional difference equations in phase space.
Cuevas, C. and C. Vidal,
J. Difference Equations Applic., | Journal Article
10.1080/10236190290032499
Self Claudio Cuevas
2002
Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain.
Cuevas, C. and M. Pinto,
Nonlinear Anal.: Theory Methods Applic., | Journal Article
10.1016/S0362-546X(99)00330-2
Self Claudio Cuevas
2001
Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay.
Cuevas, C. and M. Pinto,
Comput. Math. Applic., | Journal Article
10.1016/S0898-1221(01)00186-9
Self Claudio Cuevas
2001
Weighted convergent and bounded solutions of Volterra difference systems with infinite delay.
Cuevas, C.,
J. Differ. Equat. Appl., | Journal Article
10.1080/10236190008808241
Self Claudio Cuevas
2000
On the hyperbolic dirichlet to neumann functional in abelian lie groups.
Cuevas, C.,
Proyec Ciones Chile, | Journal Article
10.4067/S0716-09172000000100002
Self Claudio Cuevas
2000
Asymptotic behavior in Volterra difference systems with unbounded delay.
Cuevas, C. and M. Pinto,
J. Comput. Appl. Math., | Journal Article
10.1016/S0377-0427(99)00257-5
Self Claudio Cuevas
2000
On the hyperbolic dirichlet to neumann functional.
Cardoso, F. and R. Mendoza,
Math. Soc. Portugal, | Journal Article
Self Claudio Cuevas
1999
On the parabolic Dirichlet to neumann functional.
Cuevas, C.,
Proyecciones. Revista Matemática, | Journal Article
Self Claudio Cuevas
1998
On the hyperbolic dirichlet to neumann functional in H N and Sn
Cardoso, F.,
Proyecciones, Chile, | Journal Article
Self Claudio Cuevas
1998