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Browsing by Subject "Hadamard Fractional Derivatives"

Browsing by Subject "Hadamard Fractional Derivatives"

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  • Caputo-type modification of the Hadamard fractional derivatives 
    Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru (Springer International Publishing, 2012)
    Generalization of fractional differential operators was subjected to an intense debate in the last few years in order to contribute to a deep understanding of the behavior of complex systems with memory effect. In this ...
  • On caputo modification of the hadamard fractional derivative 
    Gambo, Yusuf Ya'u (Çankaya Üniversitesi, 2014-01-18)
    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 ...
  • On the generalized fractional derivatives and their Caputo modification 
    Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru (Int Scientific Research Publications, 2017)
    In this manuscript, we define the generalized fractional derivative on AC(gamma)(n) [a, b], the space of functions defined on [a, b] such that gamma(n-1) f is an element of AC [a, b], where gamma = x(1-rho) d/dx. We present ...
  • On the generalized fractional derivatives and their Caputo modification 
    Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru (2017)
    In this manuscript, we define the generalized fractional derivative on AC(gamma)(n) [a, b], the space of functions defined on [a, b] such that gamma(n-1) f is an element of AC [a, b], where gamma = x(1-rho) d/dx. We present ...