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Author: Erhan, Inci M.Subject: Time scale

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Now showing 1 - 3 of 3
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    Article
    Citation - WoS: 11
    Citation - Scopus: 20
    The Taylor Series Method and Trapezoidal Rule on Time Scales
    (Elsevier Science inc, 2020) Georgiev, Svetlin G.; Erhan, Inci M.
    The Taylor series method for initial value problems associated with dynamic equations of first order on time scales with delta differentiable graininess function is introduced. The trapezoidal rule for the same types of problems is derived and applied to specific examples. Numerical results are presented and discussed. (c) 2020 Elsevier Inc. All rights reserved.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 6
    Lagrange Interpolation on Time Scales
    (Wilmington Scientific Publisher, Llc, 2022) Georgiev, Svetlin G.; Erhan, Inci M.
    In this paper, we introduce the Lagrange interpolation polynomials on time scales. We define an alternative type of interpolation functions called s-Lagrange interpolation polynomials. We discuss some properties of these polynomials and show that on some special time scales, including the set of real numbers, these two types of interpolation polynomials coincide. We apply our results on some particular examples.
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    Article
    On the Existence and Uniqueness of Solutions of Fractional Dynamic Equations On Time Scales
    (Yokohama Publ, 2022) Erhan, Inci M.
    The existence and uniqueness of solutions of Cauchy problem for a nonlinear Caputo fractional dynamic equation of arbitrary order alpha > 0 is studied. The problem is treated as a fixed point problem posed on a b-metric space. A numerical example is presented to support the theoretical results.