Browsing by Author "Bekri, Zouaoui"

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    On the existence and uniqueness of a nonlinear q -difference boundary value problem of fractional order
    (World Scientific, 2021-09-23T00:00:00) Bekri, Zouaoui; Erturk, Vedat Suat; Kumar, Pushpendra
    In this research collection, we estimate the existence of the unique solution for the boundary value problem of nonlinear fractional q-difference equation having the given form cD q?v(t) - h(t,v(t))=0, 0 ? t ? 1, ?1v(0) + ?1Dqv(0)=v(?1),?2v(1) - ?2Dqv(1) = v(?2), where 1 < ? ? 2, (?1,?2) (0, 1)2, ?i,?i ?(i = 1, 2), h C([0, 1] � ?, ?) and cD q? represents the Caputo-type nonclassical q-derivative of order ?. We use well-known principal of Banach contraction, and Leray-Schauder nonlinear alternative to vindicate the unique solution existence of the given problem. Regarding the applications, some examples are solved to justify our outcomes. � 2022 World Scientific Publishing Company.