*Preprints and publications
since 2003*

1. (with J. Sánchez) On
Perturbation of k-Regularized Resolvent Families, *Taiwanese Journal of
Mathematics. vol 7 (2), (2003), 217-227.*

2. (with H. Prado ) Rates
of Approximation and Ergodic Liimits of Regularized Operator Families. *J.
Approx. Theory. vol 122 (1), (2003), 42-61.*

3. (with I. Cioranescu ) On
the Inversion of the Laplace Transform for Resolvent Families in UMD Spaces.
*Arch.Math. 81(2), (2003), 182-192.*

4. (with V. Vergara)
Uniform Stability of Resolvent Families,* Proc. Amer. Math. Soc. 132 (1),
(2004), 175-181.*

5. (with V. Keyantuo ) Fourier
Multipliers and Integro-Differential Equations in Banach Space. *J. Lond.
Math. Soc. (2) 69 (2004), 737-750.*

6. (with V. Keyantuo) Maximal
Regularity for a Class of Integro-Differential Equations with Infinite Delay
in Banach Spaces. *Studia Mathematica, 168(1)(2005), 25-50.*

7. (with H. Prado ) Singular
Perturbations of Integro-Differential Equations. *Applied Mathematics
and Computation, 175(2)(2006), 1582-1595.*

8. Fourier
Multipliers and Periodic Solutions of Delay Equations in Banach Spaces.
*J. Math. Anal. Appl., 324(2)(2006),921-933.*

9. (with V. Keyantuo )* *Periodic
Solutions to Second Order Differential Equations in Banach Spaces*. Mathematische
Zeitschrift, 253(2006),489-514.*

10. (with V. Poblete)* *Maximal
Regularity of Delay Equations in Banach Spaces*. Studia Mathematica, 175
(2006), 91-102.*

11.(with V. Keyantuo)* *Hölder
Continuous Solutions for Integro-Differential Equations and Maximal Regularity*.**
Journal of Differential Equations, 230 (2006), 634-660.*

12. (with H. Prado)* *Singular
Perturbation for Volterra Equations of Convolution Type*. **Applied
Mathematics and Computation, 181(2006), 1624-1634.*

13. (with A. Karczewska)* *Regularity
of Solutions to Stochastic Volterra Equations with Infinite Delay*. Proc.
Amer. Math. Soc. 135(2007), 531-540.*

14.(with V. Poblete)* *On
Multiplicative Perturbation of Integral Resolvent Families*.** J.
Math. Anal. Appl., 327(2) (2007), 1335-1359.*

15.(with A. Karczewska) Stochastic
Volterra equations driven by cylindrical Wiener process, *Journal of Evolution
Equations, 7(2007), 373-386.*

16.(with A. Karczewska) On
stochastic fractional Volterra equations in Hilbert space, *Discrete
Cont. Dyn. Sys*. *Series A,* Supplement (2007), 541-550.

17.(with C.Cuevas) Maximal
Regularity of Discrete Second Order Cauchy Problems in Banach Spaces. *Journal
of Difference Equations and Applications, 13 (12) (2007), 1129-1138.*

18.(with V. Keyantuo) Mild
Well-Posedness of Abstract Differential Equations.in: *Functional Analysis
and Evolution Equations,* editors: H. Amann, W. Arendt, M. Hieber, F. M.
Neubrander, S. Nicaise and J. von Below, Birkhauser-Basel, 371-387, 2008.

19.(with C. Cuevas) Semilinear
Evolution Equations of Second Order via Maximal Regularity. *Advances
in Difference Equations*, *2008, Article ID 316207 (2008)*.

20*.*(with C. Cuevas)*
*Almost
Automorphic Solutions to a class of Semilinear Fractional Differential Equations.*
Applied Math. Letters, 21 (2008), 1315-1319.*

21. (with V. Poblete) Maximal
Regularity for Perturbed Integral Equations on Periodic Lebesgue Spaces,*
J. Math. Anal. Appl., 348 (2008), 775-786.*

22.(with D. Araya) Almost
Automorphic Mild Solutions to Fractional Differential Equations,* Nonlinear
Analysis, Series A: Theory Methods and Applications, 69 (2008),3692-3705.*

23.(with A. Karczewska) Strong
Solutions to Stochastic Volterra Equations.* J. Math. Anal. Appl., 349
(2009), 301-310.*

24.(with V.Keyantuo and V. Poblete)*
*Periodic Solutions of Integro-differential
Equations in Vector-valued Function Spaces. *Journal of Differential
Equations, 246(3) (2009), 1007-1037.*

25. (with A. Castro and C. Cuevas)
Maximal regularity of the discrete
harmonic oscillator equation. * Advances in Difference Equations,2009,
Article ID 290625, 14 p. (**2009).
doi:10.1155/2009/290625.*

26.(with H.Prado)
On Duality and Spectral Properties of (a,k)-Regularized Resolvents.
*Proceedings of the Royal Society of Edinburgh: Section A, 139 (3), (2009),
505-517.*

27.* *(with C. Cuevas) Well
posedness for a class of flexible structure in Holder spaces. *Mathematical
Problems in Engineering
Volume 2009, Article ID 358329, 13 pages, doi:10.1155/2009/358329.*

28. (with D. Araya and R. Castro)
Almost automorphic solutions of difference
equations. *Advances in Difference Equations,Volume 2009 (2009), Article
ID 591380, 15 pages, doi:10.1155/2009/591380.*

29. (with V. Keyantuo and P. Miana)
Algebra homomorphisms defined
via convoluted semigroups and cosine functions. *Journal of Functional
Analysis, 257 (2009) 3454-3487.*

30. (with H. Henríquez)
Compact almost automorphic solutions to integral equations with infinite delay.
*Nonlinear Analysis, Series A, Theory Methods and Applications, 71 (2009),
6029-6037. *

31.* *(with A. Karczewska)
Solutions to stochastic fractional relaxation equations.* Physica Scripta
T, 136 (2009), 014030 (7pp.)*

32.* *(with C. Cuevas)
Almost automorphic solutions to integral equations on the line. *Semigroup
Forum*,* 79(3) (2009), 461-472.*

33.(with C.Cuevas)*
*Semilinear
Evolution Equations on Discrete Time and Maximal Regularity.

34. (with S. Calzadillas) Bounded
mild solutions of perturbed Volterra equations with infinite delay. *Nonlinear
Analysis, Series A, Theory Methods and Applications, 72 (11) (2010), 3976-3983.*

35.* *(with H. Prado) Fractional
relaxation equations on Banach spaces. *Applied Math. Letters, 23 (2)
(2010), 137-142.*

36.* *(with C. Fernández
and V. Poblete) Maximal regularity
for flexible structural systems in Lebesgue spaces.* Mathematical Problems
in Engineering, vol 2010, Article ID196956, (2010), 15p.*

37.(with P. Miana) A
Kallman-Rota inequality for generators of families of bounded operators.
*Journal of Mathematical Analysis and Applications, 371 (2010), 614-623.*

38.(with A. Karczewska) Solutions
to stochastic fractional oscillation equations.* Applied Math. Letters,
23 (11) (2010), 1361-1366.*

39. (with C. Cuevas) S-asymptotically
w-periodic solutions for semilinear Volterra equations. *Mathematical Methods
in the Applied Sciences, 33 (13) (2010), 1628-1636.*

40. (with A. Castro and C. Cuevas)
Well posedness of second order evolution equation
on discrete time. *Journal of Difference Equations and Applications,
16(10) (2010), 1165-1178.*

41. (with G.M. N'Guérékata)
Bounded mild solutions for semilinear
integro-differential equations in Banach spaces. *Integral Equations
and Operator Theory*, *68 (2) (2010), 207-227.*

42. (with R. Rebolledo)
Cosine and Gaussian transforms. *Communications on Stochastic Analysis,
4 (4) (2010), 541-551.*

43. (with R. Ponce)
Periodic solutions of degenerate differential equations in vector-valued function
spaces. *Studia Mathematica, 202 (2011), 49-63.*

44. An
operator theoretical approach to a class of fractional order differential equations.
*Applied Math. Letters, 24 (2) (2011), 184-190.*

45. (with V. Poblete)
Periodic solutions of fractional differential equations with delay. *Journal
of Evolution Equations, 11 (2011), 57-70.*

46.(with R. Ponce) Bounded
solutions to a class of semilinear integro-differential equations in Banach
spaces.* Nonlinear Analysis, Series A, Theory Methods and Applications,
74 (2011), 3397-3406.*

47.(with C. Fernández and
V. Poblete) Regularity of
solutions for a third order differential equation in Hilbert spaces. *Applied
Mathematics and Computation, 217 (21) (2011), 8522-8533.*

48*.* (with V. Keyantuo)
A characterization of periodic solutions
for time-fractional differential equations in UMD spaces and applications. *
Mathematische Nachrichten, 284 (4) (2011), 494–506.*

49. (with B. De Andrade)
Existence of asymptotically almost periodic solutions for damped wave equations.
*Journal of Mathematical Analysis and Applications, 382 (2011), 761-771.*

50. (with R. Ponce) Almost
automorphic solutions to abstract Volterra equations on the line. *Nonlinear
Analysis, Series A, Theory Methods and Applications, 74 (2011), 3805-3814.*

51.(with P. Irarrazaval, V. Parot,
C. Tejos and C.Sing-Long) The fractional Fourier
transform and quadratic field magnetic resonance imaging. *Computers
and Mathematics with Applications, 62 (2011), 1576-1590.*

52.(with H. Henriquez) Periodic
solutions of abstract functional differential equations with infinite delay.
*Nonlinear Analysis, Series A, Theory Methods and Applications, 75 (2012),
2016-2023. *

53. (with J.C. De Souza) The complex
inversion formula in UMD spaces for families of bounded operators. *Applicable
Analysis, 91 (15) (2012), 937-946.*

54. (with V. Keyantuo) On
a connection between powers of operators and fractional Cauchy problems*.
Journal of Evolution Equations, 12 (2012), 245–265.*

55.(with V. Parot, C. Sing-Long,
C. Tejos, S. Uribe and P. Irarrazaval)
Application of the fractional Fourier transform to image reconstruction in MRI.
*Magnetic Resonance in Medicine, 68 (2012), 17-29.*

56. (with F. Poblete) On
a functional equation associated with (a,k)-regularized resolvent families.
*Abstract and Applied Analysis, vol. 2012, Article ID 495487, 23 pages, 2012.
doi:10.1155/2012/495487.*

57. (with D. Araya) Existence
of asymptotically almost automorphic solutions for a third order differential
equation.* E.J. Qualitative Theory of Diff. Eq. 53 (2012), 1-20.*

58. Solutions
of two-term time fractional order differential equations with nonlocal initial
conditions. *E.J. Qualitative Theory of Diff. Eq. 82 (2012), 1-9.*

59. (with E. Alvarez-Pardo)
The maximal subspace for generation of (a,k)-regularized families.* Abstract
and Applied Analysis, Volume 2012 (2012), Article ID 683021, 14 pages doi:10.1155/2012/683021.*

60. (with C. Cuevas and H. Henríquez)
On the existence of
almost automorphic solutions of Volterra difference equations. *Journal
of Difference Equations and Applications, 18(11)(2012), 1931-1946.*

61. (with R. Ponce) Maximal
regularity for perturbed integral equations on the line.* Integr. Equ.
Oper. Theory 74 (2012), 513–526.*

62.(with J.C. Pozo) Existence
of mild solutions for semilinear integrodifferential equations with nonlocal
conditions. *Abstract and Applied Analysis, Volume 2012 (2012), Article
ID 647103, 15 pages doi:10.1155/2012/647103.*

63.(with E. Alvarez-Pardo) Pseudo
asymptotic solutions of fractional order semilinear equations. *Banach
Journal of Mathematical Analysis, 7 (2) (2013), 42-52.*

64. (with C. Milovic, C. Oses,
M. Villalon, S. Uribe, C. Prieto, M. Andia, P. Irarrazaval, C. Tejos) Calcium
(Ca2+) waves data calibration and analysis using image processing techniques.*
BMC Bioinformatics, 14 (162) (2013), 1-14.*

65. (with J. G. Mesquita) Almost
automorphic solutions of nonautonomous difference equations*.**
Journal of Mathematical Analysis and Applications, 407 (2) (2013), 339-349.*

66.(with V. Keyantuo and M. Warma)
Asymptotic behavior of fractional order semilinear
evolution equations. *Differential and Integral Equations, 26 (7/8) (2013),
757-780. *

67.(with G. N'Guérékata)
Mild solutions for abstract fractional
differential equations. *Applicable Analysis, 92 (8) (2013), 1731-1754.*

68. (with P.J. Miana and F. Poblete)
Uniform stability of
(a,k)- regularized families. *Asymptotic Analysis, 84(2013), 47-60.*

69. (with J. G. Mesquita) Almost
automorphic solutions of dynamic equations on times scales.* Journal
of Functional Analysis, 265 (2013), 2267-2311.*

70.(with R. Ponce)
Maximal regularity for degenerate differential equations with infinite delay
in periodic vector-valued function spaces. *Proceedings of the Edinburgh
Mathematical Society, 56(3) (2013), 853-871.*

71. (with C. Cuevas and H. Soto)
Asymptotic periodicity for strongly
damped wave equations.* Abstract and Applied Analysis, Volume 2013, Article
ID 308616, 14 pages http://dx.doi.org/10.1155/2013/308616*

72. (with F. Poblete) Regularity
of mild solutions for a class of fractional order differential equations.
*Applied Mathematics and Computation, 224 (2013), 803-816.*

73. (with V. Keyantuo and M. Warma)
Spectral criteria for solvability of boundary value problems and positivity
of solutions of time-fractional differential equations.* Abstract and
Applied Analysis, vol. 2013, Article ID 614328, 11 pages, 2013. doi:10.1155/2013/614328.*

74. (with R. Rebolledo) On
a class of non Markovian Langevin Equations.* Open Systems & Information
Dynamics.
20 (4) (2013). Article ID 1350016, 17 pages. doi:10.1142/S1230161213500169.*

75. Some operators acting on weighted
sequence Lebesgue spaces and applications.* Scientia Iranica, Transaction
B: Mechanical Engineering, 20 (6) (2013), 1765-1772.*

76. (with C. Cuevas) Existence
of S-asymptotically w-periodic solutions for two-times fractional order differential
equations.* Southeast Asian Bulletin of Mathematics, 37 (5) (2013), 683-690.*

77. (with E. Alvarez-Pardo) Mild
solutions of multi-term fractional order differential equations with non local
initial conditions.* Electronic Journal of Differential Equations, Vol.
2014 (2014), No. 39, pp. 1-10.*

*78.* (with A. Karczewska) Stochastic Volterra equations under perturbations. *Electron. Commun. Probab. 19 (2014), no. 29, 1–14.*

79. (with R. Agarwal and C. Cuevas)**[Book]
**Regularity of Difference Equations on Banach Spaces. *Springer-Verlag, Cham,
2014. *Hardcover ISBN 978-3-319-06446-8

80. (with P.J. Miana, R. Ponce
and L. Sánchez-LaJusticia) On
the boundedness of generalized Cèsaro operators on Sobolev spaces.*
Journal of Mathematical Analysis and Applications, 419(1) (2014), 373-394.*

81. (with J. G. Mesquita and R.
Ponce) On the connection of almost
periodic functions defined on time scales and **R**. *Applicable
Analysis, 93(12)(2014), 2547-2558.*

82. (with E. Alvarez-Pardo) Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces. *Advances in Difference Equations, 13 (2015), 1-18.*

83. (with A. Conejero and F. Rodenas) Chaotic behaviour of the solutions of the Moore-Gibson-Thomson equation. *Appl. Math. Inf. Sci. 9(5) (2015), 1-16.*

84. (with M.P. Velasco) Abstract Volterra equations with state dependent delay.* Journal of Integral Equations and Applications, 27(2) (2015), 219-231.*

85. (with E. Alvarez-Pardo and R. Ponce) Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces.* Applied Mathematics and Computation, 259 (2015), 164-172.*

86.(with O. Ciaurri, L. Roncal and J.L. Varona) On a connection between the discrete fractional Laplacian and superdiffusion. *Applied Math. Letters, 49 (2015), 119-125.*

87.(with E. Alvarez-Pardo) Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations. *Applied Mathematics and Computation, 271 (2015), 154-167.*

88. lp-maximal regularity for fractional difference equations on UMD spaces*. Mathematische Nachrichten, 288 (17/18) (2015), 2079-2092.*

89. (with C. Cuevas, G. M. N'Guérékata and H.S. Ding) Asymptotic behavior of nonlinear evolution equations.* Abstract and Applied Analysis. 2015 (2015) Art ID 430238*.

90. (with J. Mesquita) Addendum to "Almost automorphic solutions of dynamic equations on time scales" [J. Funct. Anal. 265 (10) (2013) 2267-2311]. *Journal of Functional Analysis, 269 (7) (2015), 2302-2303.*

91. (with A. Conejero and F. Rodenas) Dynamics of the solutions of the Water Hammer equations. * Topology and its Applications, 203 (2016), 67-83.*

92. (with L. Abadías and P.J. Miana) Sharp extensions and algebraic properties for solution families of vector-valued differential equations. *Banach Journal of Mathematical Analysis*, *10(1) (2016), 169-208.*

93. (with L. Abadias) Almost automorphic mild solutions to fractional partial difference-differential equations. *Applicable Analysis, 95 (6) (2016), 1347-1369.*

94. (with E. Alvarez) Attractivity for functional Volterra integral equations of convolution type.* Journal of Computational and Applied Mathematics, 30 (2016), 230-240.*

95. (with A. Conejero y M. Murillo) On the existence of chaos for the viscous Van Wijngaarden Eringen equation. *Chaos, Solitons and Fractals, 89 (2016), 100-104.*

96.(with V. Keyantuo and M. Warma) Existence, regularity and representation of solutions of time fractional diffusion equations. *Advances in Differential Equations*,* 21 (9-10) (2016), 837-886. *

97. (with M.P. Velasco) Weighted bounded solutions for a class of nonlinear fractional equations. *Fractional Calculus and Applied Analysis, 19 (4) (2016), 1010-1030.*

98. (with E. Alvarez) Weighted pseudo almost automorphic and S-asymptotically w-periodic solutions to fractional difference-differential equations. *Electronic Journal of Differential Equations, 270 (2016), 1-12*.

99.(with L.Abadias, P.J. Miana and M.P. Velasco) Cesàro sums and algebra homomorphisms of bounded operators.* Israel Journal of Mathematics, 216 (1) (2016), 471-505.*

100. (with R. Ponce and A. Pereira) On the compactness of fractional resolvent operator functions.* Semigroup Forum, 93(2) (2016), 363-374.*

101. (with E. Álvarez) Application of measure of noncompactness to Volterra equations of convolution type. *Journal of Integral Equations and Applications, 28 (4) (2016), 441-458. *

102. (with M. Murillo) lp-maximal regularity for a class of fractional difference equations on UMD spaces: The case 1<alpha <2. *Banach Journal of Mathematical Analysis, 11 (1) (2017), 188-206.*

103. (with R. Ponce and A. Pereira) Norm continuity for strongly continuous families of operators.* International Journal of Evolution Equations, 10 (2) (2017), 161-178.*

104. (with J.G. Mesquita, R. Ponce and E. Toon) Almost automorphic solutions of Volterra equations on time scales. *Differential and Integral Equations, 30 (9-10)(2017), 667-694*.

105. (with J. Pereira and E. Toon) On the exponential stability of Samuelson model on some classes of time scales. *Journal of Computational and Applied Mathematics, 325 (2017), 1-17.*

106. (with A. Conejero, M. Murillo and A. Peris) Linear Dynamics of semigroups generated by differential operators.* Open Mathematics, 15 (2017), 745-767.*

107. The Poisson distribution, abstract fractional difference equations, and stability. *Proceedings of the American Mathematical Society*, DOI: https://doi.org/10.1090/proc/12895, *to appear. *

108. (with E. Alvarez and L. Abadías) Regularity properties of mild solutions for a class of abstract Volterra equation with critical nonlinearities.* Journal of Integral Equations and Applications, to appear.*

109. (with M. Murillo) Maximal regularity in lp spaces for discrete time fractional shifted equations.* Journal of Differential Equations, to appear.*

110. (with C. Fernández and
V. Poblete) Exponential decay for the solutions of a second order abstract differential
equation. *Submitted.*

111. (with J. G. Mesquita) Asymptotically
almost automorphic solutions of dynamic equations on times scales.* S ubmitted.*

112. (with V. Keyantuo and M. Warma)
Existence, regularity and representation of solutions of fractional wave equations.* Submitted.*

113. (with S. Calzadillas and J.G. Mesquita) A unified approach
to discrete fractional calculus and applications. *Submitted*.

114. (with J.G. Mesquita and H. Henriquez) Semigroups on time scales and applications to abstract Cauchy problems. *Submitted.*

115. (with L. Abadias, P.J. Miana and M.P. Velasco) On well-posedness of vector-valued fractional differential-difference equations. *Submitted.*

116. (with A. Conejero and M. Murillo) Chaotic behavior for partial differential equations of order two. *Submitted*.

117.(with M. Murillo) Well posedness for a class of discrete time fractional models.* Submitted*.

118. (with V. Keyantuo and M. Warma) Lattice dynamical systems associated to a fractional Laplacian. *Submitted*.

119. (with R. Rebolledo) A semigroup approach to fractional Poisson processes. *Submitted.*

120. (with M. Murillo) Well posedness for semidiscrete abstract fractional Cauchy problems with finite delay. *Submitted.*

121. (with L. Abadías and M. Murillo) Hölder regularity for the Moore-Gibson-Thomson equation with infinite delay. *Submitted.*

122. (with L. Roncal) Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian. *Submitted*

123. (with C. Leal and M. Murillo) Lebesgue regularity for differential difference equations with fractional damping. *Submitted*.

124. (with A. Karczewska) Fractional stochastic Volterra equations in infinite dimension. *Submitted.*

125.(with D. Fuente, J. F. Urchueguia, J.A. Conejero) Estimation of light field inside photosynthetic microorganism cultures through Mittag-Leffler functions at depleted light conditions.* Submitted.*

126. (with. F. Poblete) A characterization of well-posedness for abstract Cauchy problems with finite delay. *Submitted.*

Last update: May 15, 2017