• Dr.  Claudio Cuevas
  • Dr. Claudio Cuevas
  • Universidade Federal de Pernambuco, Brazil
  • Title: Asymptotically periodic solutions of fractional differential equations
  • Abstract:

    Fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order. We remark that there is much interest in developing theoretical analysis and numerical methods for fractional differential equations because they have recently proved to be valuable in various fields of science and engineering. We observe that real systems usually exhibit internal variations or are submitted to external perturbations. In many situation we can assume that these variations are approximately periodic in a broad sense. We study asymptotically periodic solutions of fractional differential equations.

     


  • Biography:

    Birth: October 27, 1964 - Santiago. Citizenship: Chile
    Degrees: B.Sc. University of Santiago, 1988, Ph.D. UFPE Brazil, 1996
    Affiliation: Federal University of Pernambuco (UFPE), Brazil
    Ph.D. Students: L. Del Campo 2003, J. César de Souza 2009, A. Castro 2009, B. de Andrade 2010, A.Caicedo 2011, E. Henríquez 2012, A. Sepulveda 2012, F. Dantas 2013.
    Editorial Board Member
    Asian Journal of Current Engineering & Math's, Southeast Asian Bulletin : Advances in Difference Equations, Progress in Electromagnetic Research (PIER), Scientia Iranica, ARPN Journal of Science and Technology of Mathematics.
    Member of the Scientific Committee of:
    (a) 2014 Spring World Congress on Engineering and Technology (SCET 2014), April 2014, Shanghai, China.
    (b) 2015 Spring World Congress on Engineering and Technology (SCET 2015), April 2015, Beijing, China.
    (c) 6th Symposium of the Fractional Calculus and Applications Group, July 2014, Alexandria University, Egypt.
    (d)5th Symposium of the Fractional Calculus and Applications Group, July 2013, Alexandria University, Egypt.
    (e) 2013 Spring International Conference on Applied and Engineering Mathematics (AEM-S), Wuhan, China.
    (f) International Conference on Mathematical Sciences, Dec. 2012, Nagpur, India.
    Selected Publications:

    Selected Publications:

    1.- “Asymptotic Behavior in Volterra Difference Systems with unbounded Delay", with M.Pinto, Journal of Computational and Applied Mathematics, North-Holland, V.113, 217-335, 2000.

    2.- “Sharp Bound on the Number of Resonances for Conformally Compact Manifolds with Constant Negative Curvature", with G. Vodev, Communications in Partial Differential Equations, V.28, 7-8, 1685-1704, 2003.

    3.- “About the behavior of solutions for Volterra difference equations with in_nite delay", with A. Castro, F. Dantas and H. Soto, Journal of Computational and Applied Mathematics, 255 (2013), 44-59, Doi 10.1016/j.cam.2013.04.033.

    4.- “Almost automorphy for abstract neutral di_erential equation via control theory", with H. Henríquez, Annali di Matematica Pura ed Applicata,  192 (2013), 393-405. DOI 10.1007/s10231-011-0229-7

    5.- “High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates", with F. Cardoso and G. Vodev, Annales Henri Poincaré, 14 (2013), 95-117, DOI 10.1007/s00023-012-0178-8.
    6.- "Semi-classical dispersive estimates", with F. Cardoso and G. Vodev,
    Math. Zeitschrift, Springer-Verlag. DOI 10.1007/s00209-014-1314-6. Published online 17 April 2014.
    7.  Regularity of Difference Equations on Banach Spaces", with R.P.Agarwal and C. Lizama, Springer, Cham Heidelberg New York Dordrecht London,2014, ISBN 978-3-319-06446-8, ISBN 978-3-319-06447-5 (eBook). DOI 10.1007/978-3-319-06447-5, 232 pp.




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October 26-28, 2014
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July 9, 2014  >> August 27, 2014
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