## Lizama, Carlos

Compute Distance To:
 Author ID: lizama.carlos Published as: Lizama, Carlos; Lizama, C. Homepage: http://netlizama.usach.cl External Links: MGP · ResearchGate
 Documents Indexed: 162 Publications since 1988, including 1 Book 2 Contributions as Editor Co-Authors: 67 Co-Authors with 145 Joint Publications 1,834 Co-Co-Authors
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### Co-Authors

 19 single-authored 16 Keyantuo, Valentin 16 Murillo-Arcila, Marina 13 Cuevas, Claudio 12 Ponce, Rodrigo F. 10 Alvarez, Edgardo 8 Mesquita, Jaqueline Godoy 8 Miana, Pedro J. 7 Abadias, Luciano 7 Poblete, Verónica 7 Warma, Mahamadi 6 Conejero, José Alberto 6 Karczewska, Anna 6 Prado, Humberto E. 4 Alvarez-Pardo, Edgardo 4 Cioranescu, Ioana 4 Henríquez, Hernán R. 4 Pilar Velasco, M. 4 Poblete, Felipe 3 Araya, Daniela 3 Díaz, Stiven 3 González-Camus, Jorge 3 Goodrich, Christopher S. 3 Rebolledo Berroeta, Rolando 3 Rueda, Silvia 2 Bravo, Jennifer 2 Castro, Airton 2 Fernández, Claudio A. 2 Gambera, Laura R. 2 Leal, Claudio 2 N’Guérékata, Gaston Mandata 2 Pereira, Aldo 2 Peris, Alfredo 2 Prokopczyk, Andréa C. 2 Roncal, Luz 2 Toon, Eduard 1 Abdeljawad, Thabet 1 Agarwal, Ravi P. 1 Banaś, Józef 1 Calzadillas, Sebastián 1 Castro, Rodrigo 1 Ciaurri, Óscar 1 de Andrade, Bruno 1 De Souza, Julio César 1 Debbouche, Amar 1 Grau, Rogelio 1 He, Jiawei 1 Irarrazaval, Pablo 1 Lvarez, Edgardo 1 Merdivenci Atici, Ferhan 1 Mira-Iglesias, Ainara 1 Parot, Vicente 1 Pereira, Jorge Vitório 1 Pozo, Juan Carlos 1 Rodenas, Francisco 1 Rodero, Cristóbal 1 Sánchez-Lajusticia, Luis 1 Sánchez, Justino 1 Seoane-Sepúlveda, Juan Benigno 1 Sing-Long, Carlos A. 1 Soto, Herme 1 Tejos, Cristian 1 Varona Malumbres, Juan Luis 1 Vergara, Vicente 1 Wu, Guocheng 1 Yang, Xiao-Jun 1 Zamorano, Sebastián 1 Zhou, Yong
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### Serials

 15 Journal of Mathematical Analysis and Applications 8 Advances in Difference Equations 6 Applied Mathematics and Computation 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Proceedings of the American Mathematical Society 6 Journal of Integral Equations and Applications 5 Journal of Computational and Applied Mathematics 5 Applied Mathematics Letters 5 Journal of Difference Equations and Applications 5 Discrete and Continuous Dynamical Systems 5 Abstract and Applied Analysis 4 Applicable Analysis 4 Mathematical Methods in the Applied Sciences 4 Integral Equations and Operator Theory 4 Journal of Differential Equations 4 Semigroup Forum 4 Electronic Journal of Qualitative Theory of Differential Equations 4 Journal of Evolution Equations 3 Israel Journal of Mathematics 3 Studia Mathematica 3 Journal of Functional Analysis 3 Topological Methods in Nonlinear Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Banach Journal of Mathematical Analysis 2 Mathematische Nachrichten 2 Acta Applicandae Mathematicae 2 Differential and Integral Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Mathematical Problems in Engineering 2 Fractional Calculus & Applied Analysis 1 Computers & Mathematics with Applications 1 Chaos, Solitons and Fractals 1 Archiv der Mathematik 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Results in Mathematics 1 Southeast Asian Bulletin of Mathematics 1 Topology and its Applications 1 Mathematica Balkanica. New Series 1 Asymptotic Analysis 1 Aequationes Mathematicae 1 Fractals 1 Advances in Differential Equations 1 Electronic Communications in Probability 1 Open Systems & Information Dynamics 1 Taiwanese Journal of Mathematics 1 Chaos 1 Communications in Contemporary Mathematics 1 Cubo Matemática Educacional 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 International Journal of Evolution Equations 1 Boundary Value Problems 1 Complex Analysis and Operator Theory 1 Communications on Stochastic Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Open Mathematics
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### Fields

 85 Operator theory (47-XX) 58 Ordinary differential equations (34-XX) 53 Integral equations (45-XX) 42 Partial differential equations (35-XX) 30 Difference and functional equations (39-XX) 19 Real functions (26-XX) 14 Abstract harmonic analysis (43-XX) 10 Integral transforms, operational calculus (44-XX) 9 Probability theory and stochastic processes (60-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Numerical analysis (65-XX) 6 Functional analysis (46-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

140 Publications have been cited 1,618 times in 735 Documents Cited by Year
Almost automorphic mild solutions to fractional differential equations. Zbl 1166.34033
Araya, Daniela; Lizama, Carlos
2008
Regularized solutions for abstract Volterra equations. Zbl 0952.45005
Lizama, Carlos
2000
Almost automorphic solutions to a class of semilinear fractional differential equations. Zbl 1192.34006
Cuevas, Claudio; Lizama, Carlos
2008
The Poisson distribution, abstract fractional difference equations, and stability. Zbl 1368.39001
Lizama, Carlos
2017
Bounded mild solutions for semilinear integro differential equations in Banach spaces. Zbl 1209.45007
Lizama, Carlos; N’Guérékata, Gaston M.
2010
Almost automorphic solutions of dynamic equations on time scales. Zbl 1287.34084
Lizama, Carlos; Mesquita, Jaqueline G.
2013
A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 07202576
Goodrich, Christopher; Lizama, Carlos
2020
On approximation and representation of $$k$$-regularized resolvent families. Zbl 1011.45006
Lizama, Carlos
2001
$$l_p$$-maximal regularity for fractional difference equations on UMD spaces. Zbl 1335.39003
Lizama, Carlos
2015
Fourier mutlipliers and integro-differential equations in Banach spaces. Zbl 1053.45008
Keyantuo, Valentin; Lizama, Carlos
2004
An operator theoretical approach to a class of fractional order differential equations. Zbl 1226.47048
Lizama, Carlos
2011
Periodic solutions of degenerate differential equations in vector-valued function spaces. Zbl 1219.35129
Lizama, Carlos; Ponce, Rodrigo
2011
On perturbation of $$K$$-regularized resolvent families. Zbl 1051.45009
Lizama, Carlos; Sánchez, Justino
2003
Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces. Zbl 1073.45008
Keyantuo, Valentin; Lizama, Carlos
2005
Compact almost automorphic solutions to integral equations with infinite delay. Zbl 1179.43004
Henríquez, Hernán R.; Lizama, Carlos
2009
Hölder continuous solutions for integro-differential equations and maximal regularity. Zbl 1115.45006
Keyantuo, Valentin; Lizama, Carlos
2006
Mild solutions for abstract fractional differential equations. Zbl 1276.34004
Lizama, Carlos; N’Guérékata, Gaston M.
2013
A characterization of periodic solutions for time-fractional differential equations in $$UMD$$ spaces and applications. Zbl 1221.34012
Keyantuo, Valentin; Lizama, Carlos
2011
Asymptotic behavior of fractional order semilinear evolution equations. Zbl 1299.35309
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2013
$$S$$-asymptotically $$\omega$$-periodic solutions for semilinear Volterra equations. Zbl 1251.45007
Cuevas, Claudio; Lizama, Carlos
2010
Periodic solutions of second order differential equations in Banach spaces. Zbl 1104.34041
Keyantuo, Valentin; Lizama, Carlos
2006
Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces. Zbl 1295.35286
Lizama, Carlos; Ponce, Rodrigo
2013
Fourier multipliers and periodic solutions of delay equations in Banach spaces. Zbl 1113.34060
Lizama, Carlos
2006
Almost automorphic solutions of non-autonomous difference equations. Zbl 1306.39009
Lizama, Carlos; Mesquita, Jaqueline G.
2013
Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029
Goodrich, Christopher; Lizama, Carlos
2020
Almost automorphic mild solutions to fractional partial difference-differential equations. Zbl 1381.35205
2016
Maximal regularity in $$l_{p}$$ spaces for discrete time fractional shifted equations. Zbl 1455.35289
Lizama, Carlos; Murillo-Arcila, Marina
2017
Rates of approximation and ergodic limits of regularized operator families. Zbl 1032.47024
2003
Regularity of difference equations on Banach spaces. Zbl 1306.39001
Agarwal, Ravi P.; Cuevas, Claudio; Lizama, Carlos
2014
Almost automorphic solutions to integral equations on the line. Zbl 1187.45005
Cuevas, Claudio; Lizama, Carlos
2009
On a functional equation associated with $$(a, k)$$-regularized resolvent families. Zbl 1250.39012
Lizama, Carlos; Poblete, Felipe
2012
$$\ell_p$$-maximal regularity for a class of fractional difference equations on UMD spaces: the case $$1<\alpha\leq2$$. Zbl 1359.39003
Lizama, Carlos; Murillo-Arcila, Marina
2017
On the compactness of fractional resolvent operator functions. Zbl 1359.47014
Lizama, Carlos; Pereira, Aldo; Ponce, Rodrigo
2016
Cesàro sums and algebra homomorphisms of bounded operators. Zbl 1405.47003
Abadias, Luciano; Lizama, Carlos; Miana, Pedro J.; Pilar Velasco, M.
2016
Almost automorphic solutions of difference equations. Zbl 1177.39002
Araya, Daniela; Castro, Rodrigo; Lizama, Carlos
2009
Existence of asymptotically almost periodic solutions for damped wave equations. Zbl 1221.35255
2011
On a connection between powers of operators and fractional Cauchy problems. Zbl 1336.47046
Keyantuo, Valentin; Lizama, Carlos
2012
Existence, regularity and representation of solutions of time fractional diffusion equations. Zbl 1375.47034
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2016
A connection between almost periodic functions defined on timescales and $$\mathbb{R}$$. Zbl 1304.42015
Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo
2014
Well posedness for semidiscrete fractional Cauchy problems with finite delay. Zbl 06867165
Lizama, Carlos; Murillo-Arcila, Marina
2018
On duality and spectral properties of $$(a,k)$$-regularized resolvents. Zbl 1206.47037
2009
Periodic solutions of fractional differential equations with delay. Zbl 1242.34139
Lizama, Carlos; Poblete, Verónica
2011
Uniform stability of resolvent families. Zbl 1041.45015
Lizama, Carlos; Vergara, Vicente
2004
On the convergence and approximation of integrated semigroups. Zbl 0815.47053
Lizama, Carlos
1994
Weighted bounded solutions for a class of nonlinear fractional equations. Zbl 1346.34012
Lizama, Carlos; Pilar Velasco, M.
2016
On multiplicative perturbation of integral resolvent families. Zbl 1114.47041
Lizama, Carlos; Poblete, Verónica
2007
Periodic solutions of integro-differential equations in vector-valued function spaces. Zbl 1158.45004
Keyantuo, Valentin; Lizama, Carlos; Poblete, Verónica
2009
Bounded solutions to a class of semilinear integro-differential equations in Banach spaces. Zbl 1220.45012
Lizama, Carlos; Ponce, Rodrigo
2011
Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations. Zbl 1470.34018
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2013
Semilinear evolution equations of second order via maximal regularity. Zbl 1155.47056
Cuevas, Claudio; Lizama, Carlos
2008
Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions. Zbl 1261.34062
Lizama, Carlos; Pozo, Juan C.
2012
On an extension of the Trotter-Kato theorem for resolvent families of operators. Zbl 0739.47016
Lizama, C.
1990
On well-posedness of vector-valued fractional differential-difference equations. Zbl 1411.35267
Abadías, Luciano; Lizama, Carlos; Miana, Pedro J.; Velasco, M. Pilar
2019
Maximal regularity of delay equations in Banach spaces. Zbl 1112.34065
Lizama, Carlos; Poblete, Verónica
2006
On Volterra equations associated with a linear operator. Zbl 0781.45013
Lizama, Carlos
1993
Algebra homomorphisms defined via convoluted semigroups and cosine functions. Zbl 1190.47045
Keyantuo, Valentin; Lizama, Carlos; Miana, Pedro J.
2009
On the existence of almost automorphic solutions of Volterra difference equations. Zbl 1261.39007
Cuevas, Claudio; Henríquez, Hernán R.; Lizama, Carlos
2012
Spectral properties of cosine operator functions. Zbl 0675.47029
Cioranescu, Ioana; Lizama, Carlos
1988
Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations. Zbl 1410.34011
Alvarez-Pardo, Edgardo; Lizama, Carlos
2015
Regularity of mild solutions for a class of fractional order differential equations. Zbl 1334.34016
Lizama, Carlos; Poblete, Felipe
2013
Lebesgue regularity for differential difference equations with fractional damping. Zbl 1391.35405
Lizama, Carlos; Murillo-Arcila, Marina; Leal, Claudio
2018
Well posedness for a class of flexible structure in Hölder spaces. Zbl 1331.35337
Cuevas, Claudio; Lizama, Carlos
2009
Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian. Zbl 1397.34034
Lizama, Carlos; Roncal, Luz
2018
On the inversion of the Laplace transform for resolvent families in $$UMD$$ spaces. Zbl 1043.44002
Cioranescu, Ioana; Lizama, Carlos
2003
Strong solutions to stochastic Volterra equations. Zbl 1158.60028
Karczewska, Anna; Lizama, Carlos
2009
Mild solutions for multi-term time-fractional differential equations with nonlocal initial conditions. Zbl 1290.34006
Alvarez-Pardo, Edgardo; Lizama, Carlos
2014
A mean ergodic theorem for resolvent operators. Zbl 0799.47024
Lizama, Carlos
1993
On a connection between the discrete fractional Laplacian and superdiffusion. Zbl 1381.35215
Ciaurri, Óscar; Lizama, Carlos; Roncal, Luz; Varona, Juan Luis
2015
Maximal regularity of discrete second order Cauchy problems in Banach spaces. Zbl 1133.39014
Cuevas, Claudio; Lizama, Carlos
2007
Linear dynamics of semigroups generated by differential operators. Zbl 1382.47002
Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina; Peris, Alfredo
2017
Pseudo asymptotic solutions of fractional order semilinear equations. Zbl 1275.47092
Lizama, Carlos; Alvarez-Pardo, Edgardo
2013
Existence of $$S$$-asymptotically $$\omega$$-periodic solutions for two-times fractional order differential equations. Zbl 1299.34012
Cuevas, Claudio; Lizama, Carlos
2013
Solutions of two-term time fractional order differential equations with nonlocal initial conditions. Zbl 1340.34027
Lizama, Carlos
2012
Regularity of solutions for a third order differential equation in Hilbert spaces. Zbl 1222.34067
Fernández, Claudio; Lizama, Carlos; Poblete, Verónica
2011
Maximal regularity for flexible structural systems in Lebesgue spaces. Zbl 1191.74017
Fernández, Claudio; Lizama, Carlos; Poblete, Verónica
2010
Semilinear evolution equations on discrete time and maximal regularity. Zbl 1182.47054
Cuevas, Claudio; Lizama, Carlos
2010
A characterization of uniform continuity for Volterra equations in Hilbert spaces. Zbl 0905.47028
Lizama, Carlos
1998
On the existence and uniqueness of $$(N,\lambda )$$-periodic solutions to a class of Volterra difference equations. Zbl 1459.39027
Alvarez, Edgardo; Díaz, Stiven; Lizama, Carlos
2019
The Cauchy problem for discrete time fractional evolution equations. Zbl 1444.35148
He, Jia Wei; Lizama, Carlos; Zhou, Yong
2020
Asymptotic periodicity for strongly damped wave equations. Zbl 1293.35175
Cuevas, Claudio; Lizama, Carlos; Soto, Herme
2013
Periodic solutions of abstract functional differential equations with infinite delay. Zbl 1247.34118
Henríquez, Hernán R.; Lizama, Carlos
2012
Solutions to stochastic fractional oscillation equations. Zbl 1202.60099
Karczewska, Anna; Lizama, Carlos
2010
Fractional relaxation equations on Banach spaces. Zbl 1214.34047
2010
Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces. Zbl 1390.34188
Alvarez, Edgardo; Lizama, Carlos; Ponce, Rodrigo
2015
A Landau-Kolmogorov inequality for generators of families of bounded operators. Zbl 1205.47018
Lizama, Carlos; Miana, Pedro J.
2010
Uniform stability of $$(a,k)$$-regularized families. Zbl 1294.47062
Lizama, Carlos; Miana, Pedro J.; Poblete, Felipe
2013
Lebesgue regularity for nonlocal time-discrete equations with delays. Zbl 1404.39007
Leal, Claudio; Lizama, Carlos; Murillo-Arcila, Marina
2018
Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay. Zbl 1376.45011
Abadías, Luciano; Lizama, Carlos; Murillo-Arcila, Marina
2018
Maximal regularity for perturbed integral equations on periodic Lebesgue spaces. Zbl 1163.45011
Lizama, Carlos; Poblete, Verónica
2008
Stochastic Volterra equations driven by cylindrical Wiener process. Zbl 1120.60062
Karczewska, Anna; Lizama, Carlos
2007
Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics. Zbl 1411.35197
Lizama, Carlos; Zamorano, Sebastián
2019
Uniform continuity and compactness for resolvent families of operators. Zbl 0842.45009
Lizama, Carlos
1995
Weighted pseudo almost automorphic and $$S$$-asymptotically $$\omega$$-periodic solutions to fractional difference-differential equation. Zbl 1355.35194
Lvarez, Edgardo; Lizama, Carlos
2016
Existence, regularity and representation of solutions of time fractional wave equations. Zbl 1420.47025
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2017
On the exponential stability of Samuelson model on some classes of times scales. Zbl 1366.91111
Lizama, Carlos; Pereira, Jorge; Toon, Eduard
2017
Mild well-posedness of abstract differential equations. Zbl 1170.47026
Keyantuo, Valentin; Lizama, Carlos
2008
Sharp extensions and algebraic properties for solution families of vector-valued differential equations. Zbl 1380.47034
Abadias, Luciano; Lizama, Carlos; Miana, Pedro J.
2016
Well-posedness for degenerate third order equations with delay and applications to inverse problems. Zbl 1409.34065
Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina; Seoane-Sepúlveda, Juan B.
2019
Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes. Zbl 1467.45003
Lizama, Carlos; Murillo-Arcila, Marina
2020
On the boundedness of generalized Cesàro operators on Sobolev spaces. Zbl 1297.47033
Lizama, Carlos; Miana, Pedro J.; Ponce, Rodrigo; Sánchez-Lajusticia, Luis
2014
Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case. Zbl 07483484
Goodrich, Christopher; Lizama, Carlos
2022
Solutions of abstract integro-differential equations via Poisson transformation. Zbl 1470.45017
Lizama, Carlos; Ponce, Rodrigo
2021
Second and third order forward difference operator: what is in between? Zbl 1467.39012
Bravo, Jennifer; Lizama, Carlos; Rueda, Silvia
2021
A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity. Zbl 07202576
Goodrich, Christopher; Lizama, Carlos
2020
Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029
Goodrich, Christopher; Lizama, Carlos
2020
The Cauchy problem for discrete time fractional evolution equations. Zbl 1444.35148
He, Jia Wei; Lizama, Carlos; Zhou, Yong
2020
Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes. Zbl 1467.45003
Lizama, Carlos; Murillo-Arcila, Marina
2020
Semigroups on time scales and applications to abstract Cauchy problems. Zbl 1469.34119
Henríquez, Hernán R.; Lizama, Carlos; Mesquita, Jaqueline G.
2020
On well-posedness of vector-valued fractional differential-difference equations. Zbl 1411.35267
Abadías, Luciano; Lizama, Carlos; Miana, Pedro J.; Velasco, M. Pilar
2019
On the existence and uniqueness of $$(N,\lambda )$$-periodic solutions to a class of Volterra difference equations. Zbl 1459.39027
Alvarez, Edgardo; Díaz, Stiven; Lizama, Carlos
2019
Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics. Zbl 1411.35197
Lizama, Carlos; Zamorano, Sebastián
2019
Well-posedness for degenerate third order equations with delay and applications to inverse problems. Zbl 1409.34065
Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina; Seoane-Sepúlveda, Juan B.
2019
Lattice dynamical systems associated with a fractional Laplacian. Zbl 1417.49031
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2019
Fundamental solutions for discrete dynamical systems involving the fractional Laplacian. Zbl 1423.35398
González-Camus, Jorge; Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2019
On close to scalar families for fractional evolution equations: zero-one law. Zbl 1484.47072
Gambera, Laura R.; Lizama, Carlos; Prokopczyk, Andrea
2019
Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type. Zbl 1459.39001
Keyantuo, Valentin; Lizama, Carlos; Rueda, Silvia; Warma, Mahamadi
2019
Nonlocal integrated solutions for a class of abstract evolution equations. Zbl 07127986
Lizama, Carlos; Rueda, Silvia
2019
Visibility graphs of fractional Wu-Baleanu time series. Zbl 1429.37046
Conejero, J. Alberto; Lizama, Carlos; Mira-Iglesias, Ainara; Rodero, Cristóbal
2019
Well posedness for semidiscrete fractional Cauchy problems with finite delay. Zbl 06867165
Lizama, Carlos; Murillo-Arcila, Marina
2018
Lebesgue regularity for differential difference equations with fractional damping. Zbl 1391.35405
Lizama, Carlos; Murillo-Arcila, Marina; Leal, Claudio
2018
Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian. Zbl 1397.34034
Lizama, Carlos; Roncal, Luz
2018
Lebesgue regularity for nonlocal time-discrete equations with delays. Zbl 1404.39007
Leal, Claudio; Lizama, Carlos; Murillo-Arcila, Marina
2018
Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay. Zbl 1376.45011
Abadías, Luciano; Lizama, Carlos; Murillo-Arcila, Marina
2018
Editorial: Modern fractional dynamic systems and applications, MFDSA 2017. Special issue in honor of: R. P. Agarwal, D. Baleanu, J. J. Nieto, D. F. M. Torres and Y. Zhou. Highly cited researchers in the field. Zbl 1395.00039
2018
Regularity properties of mild solutions for a class of Volterra equations with critical nonlinearities. Zbl 1404.45001
Abadias, Luciano; Alvarez, Edgardo; Lizama, Carlos
2018
A characterization of well-posedness for abstract Cauchy problems with finite delay. Zbl 1371.34088
Lizama, Carlos; Poblete, Felipe
2018
The Poisson distribution, abstract fractional difference equations, and stability. Zbl 1368.39001
Lizama, Carlos
2017
Maximal regularity in $$l_{p}$$ spaces for discrete time fractional shifted equations. Zbl 1455.35289
Lizama, Carlos; Murillo-Arcila, Marina
2017
$$\ell_p$$-maximal regularity for a class of fractional difference equations on UMD spaces: the case $$1<\alpha\leq2$$. Zbl 1359.39003
Lizama, Carlos; Murillo-Arcila, Marina
2017
Linear dynamics of semigroups generated by differential operators. Zbl 1382.47002
Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina; Peris, Alfredo
2017
Existence, regularity and representation of solutions of time fractional wave equations. Zbl 1420.47025
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2017
On the exponential stability of Samuelson model on some classes of times scales. Zbl 1366.91111
Lizama, Carlos; Pereira, Jorge; Toon, Eduard
2017
Chaotic semigroups from second order partial differential equations. Zbl 1480.35298
Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina
2017
Almost automorphic solutions of Volterra equations on time scales. Zbl 1413.35354
Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo; Toon, Eduard
2017
Almost automorphic mild solutions to fractional partial difference-differential equations. Zbl 1381.35205
2016
On the compactness of fractional resolvent operator functions. Zbl 1359.47014
Lizama, Carlos; Pereira, Aldo; Ponce, Rodrigo
2016
Cesàro sums and algebra homomorphisms of bounded operators. Zbl 1405.47003
Abadias, Luciano; Lizama, Carlos; Miana, Pedro J.; Pilar Velasco, M.
2016
Existence, regularity and representation of solutions of time fractional diffusion equations. Zbl 1375.47034
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2016
Weighted bounded solutions for a class of nonlinear fractional equations. Zbl 1346.34012
Lizama, Carlos; Pilar Velasco, M.
2016
Weighted pseudo almost automorphic and $$S$$-asymptotically $$\omega$$-periodic solutions to fractional difference-differential equation. Zbl 1355.35194
Lvarez, Edgardo; Lizama, Carlos
2016
Sharp extensions and algebraic properties for solution families of vector-valued differential equations. Zbl 1380.47034
Abadias, Luciano; Lizama, Carlos; Miana, Pedro J.
2016
Application of measure of noncompactness to Volterra equations of convolution type. Zbl 1355.45005
Alvarez, Edgardo; Lizama, Carlos
2016
Attractivity for functional Volterra integral equations of convolution type. Zbl 1332.65186
Alvarez, Edgardo; Lizama, Carlos
2016
Dynamics of the solutions of the water hammer equations. Zbl 1381.76146
Conejero, J. Alberto; Lizama, Carlos; Rodenas, Francisco
2016
On the existence of chaos for the viscous van Wijngaarden-Eringen equation. Zbl 1360.35170
Conejero, J. Alberto; Lizama, Carlos; Murillo-Arcila, Marina
2016
$$l_p$$-maximal regularity for fractional difference equations on UMD spaces. Zbl 1335.39003
Lizama, Carlos
2015
Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations. Zbl 1410.34011
Alvarez-Pardo, Edgardo; Lizama, Carlos
2015
On a connection between the discrete fractional Laplacian and superdiffusion. Zbl 1381.35215
Ciaurri, Óscar; Lizama, Carlos; Roncal, Luz; Varona, Juan Luis
2015
Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces. Zbl 1390.34188
Alvarez, Edgardo; Lizama, Carlos; Ponce, Rodrigo
2015
Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces. Zbl 1346.45002
Alvarez, Edgardo; Lizama, Carlos
2015
Norm continuity for strongly continuous families of operators. Zbl 1461.47020
Lizama, Carlos; Pereira, Aldo; Ponce, Rodrigo
2015
Regularity of difference equations on Banach spaces. Zbl 1306.39001
Agarwal, Ravi P.; Cuevas, Claudio; Lizama, Carlos
2014
A connection between almost periodic functions defined on timescales and $$\mathbb{R}$$. Zbl 1304.42015
Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo
2014
Mild solutions for multi-term time-fractional differential equations with nonlocal initial conditions. Zbl 1290.34006
Alvarez-Pardo, Edgardo; Lizama, Carlos
2014
On the boundedness of generalized Cesàro operators on Sobolev spaces. Zbl 1297.47033
Lizama, Carlos; Miana, Pedro J.; Ponce, Rodrigo; Sánchez-Lajusticia, Luis
2014
Stochastic Volterra equations under perturbations. Zbl 1314.60134
Karczewska, Anna; Lizama, Carlos
2014
Almost automorphic solutions of dynamic equations on time scales. Zbl 1287.34084
Lizama, Carlos; Mesquita, Jaqueline G.
2013
Mild solutions for abstract fractional differential equations. Zbl 1276.34004
Lizama, Carlos; N&rsquo;Guérékata, Gaston M.
2013
Asymptotic behavior of fractional order semilinear evolution equations. Zbl 1299.35309
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2013
Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces. Zbl 1295.35286
Lizama, Carlos; Ponce, Rodrigo
2013
Almost automorphic solutions of non-autonomous difference equations. Zbl 1306.39009
Lizama, Carlos; Mesquita, Jaqueline G.
2013
Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations. Zbl 1470.34018
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi
2013
Regularity of mild solutions for a class of fractional order differential equations. Zbl 1334.34016
Lizama, Carlos; Poblete, Felipe
2013
Pseudo asymptotic solutions of fractional order semilinear equations. Zbl 1275.47092
Lizama, Carlos; Alvarez-Pardo, Edgardo
2013
Existence of $$S$$-asymptotically $$\omega$$-periodic solutions for two-times fractional order differential equations. Zbl 1299.34012
Cuevas, Claudio; Lizama, Carlos
2013
Asymptotic periodicity for strongly damped wave equations. Zbl 1293.35175
Cuevas, Claudio; Lizama, Carlos; Soto, Herme
2013
Uniform stability of $$(a,k)$$-regularized families. Zbl 1294.47062
Lizama, Carlos; Miana, Pedro J.; Poblete, Felipe
2013
On a functional equation associated with $$(a, k)$$-regularized resolvent families. Zbl 1250.39012
Lizama, Carlos; Poblete, Felipe
2012
On a connection between powers of operators and fractional Cauchy problems. Zbl 1336.47046
Keyantuo, Valentin; Lizama, Carlos
2012
Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions. Zbl 1261.34062
Lizama, Carlos; Pozo, Juan C.
2012
On the existence of almost automorphic solutions of Volterra difference equations. Zbl 1261.39007
Cuevas, Claudio; Henríquez, Hernán R.; Lizama, Carlos
2012
Solutions of two-term time fractional order differential equations with nonlocal initial conditions. Zbl 1340.34027
Lizama, Carlos
2012
Periodic solutions of abstract functional differential equations with infinite delay. Zbl 1247.34118
Henríquez, Hernán R.; Lizama, Carlos
2012
Existence of asymptotically almost automorphic solutions for a third order differential equation. Zbl 1340.43003
Araya, Daniela; Lizama, Carlos
2012
The complex inversion formula in UMD spaces for families of bounded operators. Zbl 1252.34065
Lizama, Carlos; De Souza, Julio Cesar
2012
The maximal subspace for generation of $$(a, k)$$-regularized families. Zbl 1311.47057
Alvarez-Pardo, Edgardo; Lizama, Carlos
2012
Maximal regularity for perturbed integral equations on the line. Zbl 1267.45021
Lizama, Carlos; Ponce, Rodrigo
2012
An operator theoretical approach to a class of fractional order differential equations. Zbl 1226.47048
Lizama, Carlos
2011
Periodic solutions of degenerate differential equations in vector-valued function spaces. Zbl 1219.35129
Lizama, Carlos; Ponce, Rodrigo
2011
A characterization of periodic solutions for time-fractional differential equations in $$UMD$$ spaces and applications. Zbl 1221.34012
Keyantuo, Valentin; Lizama, Carlos
2011
Existence of asymptotically almost periodic solutions for damped wave equations. Zbl 1221.35255
2011
Periodic solutions of fractional differential equations with delay. Zbl 1242.34139
Lizama, Carlos; Poblete, Verónica
2011
Bounded solutions to a class of semilinear integro-differential equations in Banach spaces. Zbl 1220.45012
Lizama, Carlos; Ponce, Rodrigo
2011
Regularity of solutions for a third order differential equation in Hilbert spaces. Zbl 1222.34067
Fernández, Claudio; Lizama, Carlos; Poblete, Verónica
2011
Almost automorphic solutions to abstract Volterra equations on the line. Zbl 1218.45012
Lizama, Carlos; Ponce, Rodrigo
2011
The fractional Fourier transform and quadratic field magnetic resonance imaging. Zbl 1228.44007
Irarrazaval, Pablo; Lizama, Carlos; Parot, Vicente; Sing-Long, Carlos; Tejos, Cristian
2011
Bounded mild solutions for semilinear integro differential equations in Banach spaces. Zbl 1209.45007
Lizama, Carlos; N&rsquo;Guérékata, Gaston M.
2010
$$S$$-asymptotically $$\omega$$-periodic solutions for semilinear Volterra equations. Zbl 1251.45007
Cuevas, Claudio; Lizama, Carlos
2010
Maximal regularity for flexible structural systems in Lebesgue spaces. Zbl 1191.74017
Fernández, Claudio; Lizama, Carlos; Poblete, Verónica
2010
Semilinear evolution equations on discrete time and maximal regularity. Zbl 1182.47054
Cuevas, Claudio; Lizama, Carlos
2010
Solutions to stochastic fractional oscillation equations. Zbl 1202.60099
Karczewska, Anna; Lizama, Carlos
2010
Fractional relaxation equations on Banach spaces. Zbl 1214.34047
2010
A Landau-Kolmogorov inequality for generators of families of bounded operators. Zbl 1205.47018
Lizama, Carlos; Miana, Pedro J.
2010
Well-posedness of second order evolution equation on discrete time. Zbl 1209.39001
Castro, Airton; Cuevas, Claudio; Lizama, Carlos
2010
Bounded mild solutions of perturbed Volterra equations with infinite delay. Zbl 1202.45010
2010
Compact almost automorphic solutions to integral equations with infinite delay. Zbl 1179.43004
Henríquez, Hernán R.; Lizama, Carlos
2009
Almost automorphic solutions to integral equations on the line. Zbl 1187.45005
Cuevas, Claudio; Lizama, Carlos
2009
Almost automorphic solutions of difference equations. Zbl 1177.39002
Araya, Daniela; Castro, Rodrigo; Lizama, Carlos
2009
On duality and spectral properties of $$(a,k)$$-regularized resolvents. Zbl 1206.47037
2009
Periodic solutions of integro-differential equations in vector-valued function spaces. Zbl 1158.45004
Keyantuo, Valentin; Lizama, Carlos; Poblete, Verónica
2009
...and 40 more Documents
all top 5

### Cited by 710 Authors

 109 Lizama, Carlos 36 Cuevas, Claudio 29 Bu, Shangquan 27 Ponce, Rodrigo F. 26 Goodrich, Christopher S. 26 Kostić, Marko 24 N’Guérékata, Gaston Mandata 21 Chang, Yong-Kui 20 Cai, Gang 16 Abadias, Luciano 16 Agarwal, Ravi P. 15 Miana, Pedro J. 14 Ahmad, Bashir 14 Nieto Roig, Juan Jose 14 Xia, Zhinan 13 Murillo-Arcila, Marina 12 Abbas, Syed 12 Fan, Zhenbin 12 Keyantuo, Valentin 11 de Andrade, Bruno 11 Li, Miao 10 Henríquez, Hernán R. 10 Liang, Jin 10 Piskarëv, S. I. 9 Alvarez, Edgardo 9 Li, Gang 9 Poblete, Verónica 9 Soto, Herme 8 Cao, Junfei 8 Dabas, Jaydev 8 Ntouyas, Sotiris K. 7 Al-saedi, Ahmed Eid Salem 7 Benchohra, Mouffak 7 Ezzinbi, Khalil 7 Wang, Jinrong 7 Xiao, Ti-Jun 6 Băleanu, Dumitru I. 6 Ding, Huisheng 6 Fu, Xianlong 6 Gautam, Ganga Ram 6 Mei, Zhandong 6 Mesquita, Jaqueline Godoy 6 Mophou, Gisèle Massengo 6 O’Regan, Donal 6 Pandey, Dwijendra Narain 6 Peng, Jigen 6 Wang, Rongnian 6 Warma, Mahamadi 6 Zhou, Yong 6 Zhu, Bo 5 Ashyralyev, Allaberen 5 Dahal, Rajendra 5 Dhama, Soniya 5 Li, Yongxiang 5 Pinto, Manuel 5 Prado, Humberto E. 5 Wang, Chao 4 Castro, Airton 4 Chen, Chuang 4 Conejero, José Alberto 4 Dantas, Filipe 4 Dassios, Ioannis K. 4 De Souza, Julio César 4 Díaz, Stiven 4 Huang, Zaitang 4 Karczewska, Anna 4 Litimein, Sara 4 Liu, Lishan 4 Lyons, Benjamin 4 Peris, Alfredo 4 Pierri, Michelle 4 Pilar Velasco, M. 4 Pozo, Juan Carlos 4 Rueda, Silvia 4 Said-Houari, Belkacem 4 Sánchez-Lajusticia, Luis 4 Shakhmurov, Veli B. 4 Shu, Xiaobao 4 Singh, Vikram 4 Taoudi, Mohamed Aziz 4 Vu Trong Luong 4 Zhang, Chuanyi 4 Zhou, Yong 3 Adivar, Murat 3 Alvarez-Pardo, Edgardo 3 Chadha, Alka 3 Chang, Jung-Chan 3 Chen, Pengyu 3 Dong, Qixiang 3 D’Ovidio, Mirko 3 Ghnimi, Saifeddine 3 Gil’, Michael Iosif 3 González-Camus, Jorge 3 Ibrahim, Rabha Waell 3 Jonnalagadda, Jagan M. 3 Kavitha, Velusamy 3 Koyuncuoğlu, Halis Can 3 Leal, Claudio 3 Li, Hongxu 3 Liu, Ru ...and 610 more Authors
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### Cited in 180 Serials

 50 Advances in Difference Equations 36 Journal of Mathematical Analysis and Applications 28 Fractional Calculus & Applied Analysis 25 Abstract and Applied Analysis 23 Applied Mathematics and Computation 21 Computers & Mathematics with Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Semigroup Forum 16 Journal of Difference Equations and Applications 15 Applied Mathematics Letters 14 Journal of Evolution Equations 12 Mediterranean Journal of Mathematics 11 Applicable Analysis 11 Mathematical Methods in the Applied Sciences 11 Journal of Computational and Applied Mathematics 11 Boundary Value Problems 11 Journal of Function Spaces 10 Journal of Integral Equations and Applications 10 Journal of Fixed Point Theory and Applications 9 Journal of Differential Equations 9 Journal of Functional Analysis 9 Discrete Dynamics in Nature and Society 9 Fractional Differential Calculus 7 Israel Journal of Mathematics 7 Integral Equations and Operator Theory 7 Proceedings of the American Mathematical Society 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Chaos, Solitons and Fractals 6 Mathematische Nachrichten 6 Acta Mathematica Sinica. English Series 6 Banach Journal of Mathematical Analysis 6 Evolution Equations and Control Theory 5 Results in Mathematics 5 Discrete and Continuous Dynamical Systems 5 Mathematical Problems in Engineering 5 International Journal of Differential Equations 5 Journal of Applied Analysis and Computation 4 Numerical Functional Analysis and Optimization 4 Stochastic Analysis and Applications 4 Acta Applicandae Mathematicae 4 Differential Equations and Dynamical Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Journal of Applied Mathematics and Computing 4 African Diaspora Journal of Mathematics 4 Cubo 4 Asian-European Journal of Mathematics 4 Science China. Mathematics 4 Open Mathematics 4 AIMS Mathematics 3 Bulletin of the Australian Mathematical Society 3 Studia Mathematica 3 Mathematische Zeitschrift 3 SIAM Journal on Numerical Analysis 3 International Journal of Mathematics 3 Indagationes Mathematicae. New Series 3 Topological Methods in Nonlinear Analysis 3 Journal of Mathematical Sciences (New York) 3 Electronic Journal of Differential Equations (EJDE) 3 Computational and Applied Mathematics 3 Filomat 3 Journal of Inverse and Ill-Posed Problems 3 Communications in Contemporary Mathematics 3 Differential Equations 3 Nonlinear Analysis. Modelling and Control 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Applied Mathematics 3 Communications on Pure and Applied Analysis 3 Journal of Function Spaces and Applications 3 Annals of Functional Analysis 3 Nonautonomous Dynamical Systems 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Optimization 2 Archiv der Mathematik 2 Canadian Mathematical Bulletin 2 Collectanea Mathematica 2 Journal of Approximation Theory 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Quaestiones Mathematicae 2 SIAM Journal on Control and Optimization 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Neural Networks 2 Linear Algebra and its Applications 2 International Journal of Robust and Nonlinear Control 2 Turkish Journal of Mathematics 2 Bulletin des Sciences Mathématiques 2 Integral Transforms and Special Functions 2 The Journal of Fourier Analysis and Applications 2 Nonlinear Dynamics 2 Chaos 2 Analysis (München) 2 Communications in Nonlinear Science and Numerical Simulation 2 Qualitative Theory of Dynamical Systems 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Stochastics and Dynamics 2 Complex Analysis and Operator Theory 2 Discrete and Continuous Dynamical Systems. Series S 2 Tbilisi Mathematical Journal ...and 80 more Serials
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### Cited in 39 Fields

 416 Ordinary differential equations (34-XX) 310 Operator theory (47-XX) 145 Integral equations (45-XX) 139 Partial differential equations (35-XX) 129 Real functions (26-XX) 86 Difference and functional equations (39-XX) 71 Abstract harmonic analysis (43-XX) 50 Systems theory; control (93-XX) 41 Probability theory and stochastic processes (60-XX) 41 Numerical analysis (65-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 24 Integral transforms, operational calculus (44-XX) 23 Biology and other natural sciences (92-XX) 21 Dynamical systems and ergodic theory (37-XX) 16 Functional analysis (46-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 12 Special functions (33-XX) 7 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)