Erhan, İnci

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Profile URL
https://hdl.handle.net/20.500.14411/8098
Name Variants
I.,Erhan
E.,İnci
İ.,Erhan
E.,Inci
İnci, Erhan
E., Inci
Erhan, Inci
Erhan,İ.
Inci, Erhan
Erhan,I.
I., Erhan
Erhan, İnci
Erhan, Inci M.
Erhan, I. M.
Erhan,I.M.
Ercan, I
Erhan, İnci M.
Job Title
Profesör Doktor
Email Address
inci.erhan@atilim.edu.tr
Main Affiliation
Mathematics
Status
Former Staff
Website
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID

Sustainable Development Goals

SDG data is not available
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Scholarly Output

65

Articles

58

Views / Downloads

236/982

Supervised MSc Theses

5

Supervised PhD Theses

0

WoS Citation Count

1515

Scopus Citation Count

1478

Patents

0

Projects

0

WoS Citations per Publication

23.31

Scopus Citations per Publication

22.74

Open Access Source

27

Supervised Theses

5

JournalCount
Fixed Point Theory and Applications10
Filomat5
Abstract and Applied Analysis4
Crystal Research and Technology3
Journal of Inequalities and Applications3
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2019 - 201912020 - 20224
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Has files: falseSubject: Time scale

Scholarly Output Search Results

Now showing 1 - 5 of 5
  • Thumbnail Image
    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.
  • Thumbnail Image
    Article
    Citation - WoS: 4
    Citation - Scopus: 6
    Lagrange Interpolation on Time Scales
    (Wilmington Scientific Publisher, Llc, 2022) Georgiev, Svetlin G.; Erhan, Inci M.; Guseinov, GS; Bohner, 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.
  • Thumbnail Image
    Article
    Citation - Scopus: 5
    Adomian Polynomials Method for Dynamic Equations on Time Scales
    (DergiPark, 2021) Georgiev,S.G.; Erhan,I.M.; Bohner, Martin
    A recent study on solving nonlinear differential equations by a Laplace transform method combined with the Adomian polynomial representation, is extended to the more general class of dynamic equations on arbitrary time scales. The derivation of the method on time scales is presented and applied to particular examples of initial value problems associated with nonlinear dynamic equations of first order. © 2021, DergiPark. All rights reserved.
  • Thumbnail Image
    Article
    Citation - Scopus: 5
    SERIES SOLUTION METHOD FOR CAUCHY PROBLEMS WITH FRACTIONAL Δ-DERIVATIVE ON TIME SCALES
    (Element D.O.O., 2019) Georgiev,S.G.; Erhan,I.M.
    In this paper we introduce a series solution method for Cauchy problems associated with Caputo fractional delta derivatives on time scales with delta differentiable graininess function. We also apply the method to Cauchy problems associated with dynamic equations and present some illustrative examples. © The Author(s) 2019.
  • Thumbnail Image
    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.