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Browsing by Author "Gambo, Yusuf Ya'u"

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    Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Fractional Vector Calculus in The Frame of A Generalized Caputo Fractional Derivative
    (Univ Politehnica Bucharest, Sci Bull, 2018) Gambo, Yusuf Ya'u; Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet; 56389; Matematik
    The authors in [1] recently introduced a new generalized fractional derivative on AC(y)(n)[a ,b] and C-y(n)[a, b], and defined their Caputo version. This derivative contains two parameters and reduces to the classical Caputo derivatives if one of these parameters tend to certain values. From here and after, by generalized Caputo fractional derivative, we refer to the Caputo version of the generalized fractional derivative. This paper studies the generalized Caputo fractional derivative and establishes the Fundamental Theorem of Fractional Calculus (FTFC) in the sense of this derivative. The fundamental results are used in establishing some vital theorems and then applied to vector calculus.
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    Master Thesis
    On caputo modification of the hadamard fractional derivative
    (Çankaya Üniversitesi, 2014) Gambo, Yusuf Ya'u
    In this thesis, more properties of the Caputo modification of the Hadamard fractional derivatives are studied. The fundamental theorem of fractional calculus (FTFC) in the Caputo-Hadamard setting is presented. The theorem is then used in formulating several original results