WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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  • Article
    Citation - WoS: 7
    Citation - Scopus: 9
    Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators
    (Mdpi, 2020) Darzi, Rahmat; Agheli, Bahram; Baleanu, Dumitru
    A new form of nonlinear Langevin equation (NLE), featuring two derivatives of non-integer orders, is studied in this research. An existence conclusion due to the nonlinear alternative of Leray-Schauder type (LSN) for the solution is offered first and, following that, the uniqueness of solution using Banach contraction principle (BCP) is demonstrated. Eventually, the derivatives of non-integer orders are elaborated in Atangana-Baleanu sense.
  • Article
    Citation - WoS: 49
    Citation - Scopus: 51
    Fractional Advection Differential Equation Within Caputo and Caputo-Fabrizio Derivatives
    (Sage Publications Ltd, 2016) Agheli, Bahram; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru
    In this research, we applied the variational homotopic perturbation method and q-homotopic analysis method to find a solution of the advection partial differential equation featuring time-fractional Caputo derivative and time-fractional Caputo-Fabrizio derivative. A detailed comparison of the obtained results was reported. All computations were done using Mathematica.