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  • Article
    Citation - WoS: 196
    Citation - Scopus: 168
    On the Solution of a Boundary Value Problem Associated With a Fractional Differential Equation
    (Wiley, 2020) Sevinik Adiguzel, Rezan; Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.
    The problem of the existence and uniqueness of solutions of boundary value problems (BVPs) for a nonlinear fractional differential equation of order 2
  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    The Taylor Series Method of Order p and Adams-Bashforth Method on Time Scales
    (Wiley, 2023) Georgiev, Svetlin G.; Erhan, Inci M.
    A recent study on the Taylor series method of second order and the trapezoidal rule for dynamic equations on time scales has been continued by introducing a derivation of the Taylor series method of arbitrary order p$$ p $$ on time scales. The error and convergence analysis of the method is also obtained. The 2-step Adams-Bashforth method for dynamic equations on time scales is concluded and applied to examples of initial value problems for nonlinear dynamic equations. Numerical results are presented and discussed.