WoS İndeksli Yayınlar Koleksiyonu
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Article Citation - WoS: 7Citation - Scopus: 9Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators(Mdpi, 2020) Darzi, Rahmat; Agheli, Bahram; Baleanu, DumitruA 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.
