• Title of article

    new approach to the study of solutions for a fractional boundary value problem in Holder spaces

  • Author/Authors

    Ahmadi, Z. University of Sistan and Baluchestan, Zahedan , Lashkaripour, Rahmatollah University of Sistan and Baluchestan, Zahedan , Heidartkhani, S. Razi University, Tehran

  • Pages
    25
  • From page
    1
  • To page
    25
  • Abstract
    In this paper, we study the existence of nontrivial solutionsfor a fractional boundary value problem in Holder spaces by a technicalapproach based on Leray-Schauder nonlinear alternative. Moreover,using the concept of orthogonal set on Banach xed point theorem weobtain another existence result with weaker conditions. Also, recentresults are extended and improved. In addition, we give some examplesto illustrate the feasibility and eectiveness of our results.
  • Keywords
    Caputo's fractional derivative , boundary value problem , fractional equation , nontrivial solution , fixed point
  • Journal title
    Journal of Mathematical Extension(IJME)
  • Serial Year
    2022
  • Record number

    2702254

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2702254