Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

Browse

Browsing Matematik Bölümü Yayın Koleksiyonu by Subject "(2 + 1)-Dimensional Mkdv Equation"

Filter results by typing the first few letters
Now showing 1 - 1 of 1
  • Item
    Citation Count: Hosseini, K...et al. (2020). "A detailed study on a new (2+1)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative", Advances in Difference Equations, Vol. 2020, No. 1.
    A detailed study on a new (2+1)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative
    (2020-07-06) Hosseini, K.; Ilie, M.; Mirzazade, M.; Baleanu, Dumitru; 56389; Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü
    The present article aims to present a comprehensive study on a nonlinear time-fractional model involving the Caputo-Fabrizio (CF) derivative. More explicitly, a new (2+1)-dimensional mKdV (2D-mKdV) equation involving the Caputo-Fabrizio time-fractional derivative is considered and an analytic approximation for it is retrieved through a systematic technique, called the homotopy analysis transform (HAT) method. Furthermore, after proving the Lipschitz condition for the kernel psi (x,y,t;u), the fixed-point theorem is formally utilized to demonstrate the existence and uniqueness of the solution of the new 2D-mKdV equation involving the CF time-fractional derivative. A detailed study finally is carried out to examine the effect of the Caputo-Fabrizio operator on the dynamics of the obtained analytic approximation.