• DocumentCode
    3067217
  • Title

    Existence theory for boundary value problems for fractional differential equations

  • Author

    Kou, Chunhai ; Yan, Ye ; Jin, Ran

  • Author_Institution
    Dept. of Appl. Math., Donghua Univ., Shanghai, China
  • fYear
    2012
  • fDate
    8-10 July 2012
  • Firstpage
    109
  • Lastpage
    113
  • Abstract
    In this paper, we investigate the existence of solutions for boundary value problems concerning fractional differential equations in Lp (1 ≤ p <; ∞) spaces. Our analysis relies on the Riesz Compactness Criteria and the Leray-Schauder Nonlinear Alternative theorem. Furthermore, we establish an existence principle which guarantees a solution in Lploc (1 ≤ p <; ∞), which is a Fréchet space.
  • Keywords
    boundary-value problems; differential equations; Fréchet space; Leray-Schauder nonlinear alternative theorem; Riesz compactness criteria; boundary value problem; existence theory; fractional differential equation; Boundary value problems; Computers; Differential equations; Educational institutions; Integral equations; Presses;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechatronics and Embedded Systems and Applications (MESA), 2012 IEEE/ASME International Conference on
  • Conference_Location
    Suzhou
  • Print_ISBN
    978-1-4673-2347-5
  • Type

    conf

  • DOI
    10.1109/MESA.2012.6275546
  • Filename
    6275546
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3067217