• DocumentCode
    164906
  • Title

    Variational problems with Hadamard type fractional integrals

  • Author

    Almeida, Ricardo ; Malinowska, Agnieszka B. ; Morgado, M. Luisa

  • Author_Institution
    Dept. of Math., Univ. of Aveiro, Aveiro, Portugal
  • fYear
    2014
  • fDate
    23-25 June 2014
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    This paper is devoted to the study of variational problems with Hadamard type fractional integrals. We present two approaches to solve such type of variational problems: indirect and direct. In the first case we derive necessary optimality conditions which reduce the problem to one involving a fractional integral equation. In the second case a discretization method which transforms the variational problem into a static multi-variable optimization problem is presented.
  • Keywords
    integral equations; optimisation; variational techniques; Hadamard type fractional integrals; direct approach; discretization method; fractional integral equation; indirect approach; static multivariable optimization problem; variational problems; Approximation methods; Convergence; Electronic mail; Equations; Integral equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
  • Conference_Location
    Catania
  • Type

    conf

  • DOI
    10.1109/ICFDA.2014.6967382
  • Filename
    6967382
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=164906