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Browsing by Subject "fixed point method"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Note on the stability of first order linear differential equations
    (2012) Bojor, Florin
    In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equation of the form $y'(x)+f(x)y(x)+g(x)=0$ under some additional conditions.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    On nonlocal problems for fractional differential equations in Banach spaces
    (2011) Dong, XiWang; Wang, JinRong; Zhou, Yong
    In this paper, we study the existence and uniqueness of solutions to the nonlocal problems for the fractional differential equation in Banach spaces. New sufficient conditions for the existence and uniqueness of solutions are established by means of fractional calculus and fixed point method under some suitable conditions. Two examples are given to illustrate the results.