Search Results - "CELIK, Ercan"

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  1. 1

    The Consecutive Substitution Method for Boundary Value Problems (BVPs) with Retarded Argument by Aykut, Arzu, Çelik, Ercan

    Published in Journal of applied mathematics (12-04-2023)
    “…In this study, we applied an approximate solution method for solving the boundary value problems (BVPs) with retarded argument. The method is the consecutive…”
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  2. 2

    On the new hyperbolic wave solutions to Wu-Zhang system models by Yazgan, Tuğba, Ilhan, Esin, Çelik, Ercan, Bulut, Hasan

    Published in Optical and quantum electronics (01-05-2022)
    “…In this study, some solitary wave solutions of the Wu-Zhang system are analyzed using the modified expansion function method and the sine–Gordon expansion…”
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  3. 3

    An approximate solution of singularly perturbed problem on uniform mesh by Arslan, Derya, Çelik, Ercan

    “…In this study, we obtain approximate solution for singularly perturbed problem of differential equation having two integral boundary conditions. With this…”
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  4. 4

    Analytical and approximate solutions of Fractional Partial Differential-Algebraic Equations by Günerhan, Hatıra, Çelik, Ercan

    Published in Applied mathematics and nonlinear sciences (01-01-2020)
    “…In this paper, we have extended the Fractional Differential Transform method for the numerical solution of the system of fractional partial…”
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  5. 5

    Numerical solution of Volterra–Fredholm integral equations with Hosoya polynomials by Geçmen, Merve Zeynep, Çelik, Ercan

    “…In this study, Volterra–Fredholm integral equation is solved by Hosoya polynomials. The solutions obtained with these methods were compared on the figure and…”
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  6. 6

    Prediction of Breast Cancer through Tolerance-based Intuitionistic Fuzzy-rough Set Feature Selection and Artificial Neural Network by LANBARAN, Naiyer Mohammadi, ÇELİK, Ercan

    Published in Gazi University Journal of Science (01-12-2021)
    “…The importance of diagnosing breast cancer is one of the most significant issues in medical science. Diagnosing whether the cancer is benign or malignant is…”
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  7. 7

    Solitary wave solutions to some nonlinear conformable partial differential equations by Kılıç, Sıdıka Şule Şener, Çelik, Ercan, Bulut, Hasan

    Published in Optical and quantum electronics (01-08-2023)
    “…Fractional calculus is a field that is currently used in the world’s applications in many science and engineering fields where many models are still being…”
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  8. 8

    Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation by Yılmaz, Nebi, Pişkin, Erhan, Çelik, Ercan

    Published in Advances in mathematical physics (24-11-2023)
    “…In this article, we investigate a nonlinear Petrovsky equation with variable exponent and damping terms. First, we establish the local existence using the…”
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  9. 9

    Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation by Najafi, Ramin, Çelik, Ercan, Uyanık, Neslihan

    Published in Advances in mathematical physics (29-08-2023)
    “…In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann–Liouville derivative. This equation is useable to…”
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  10. 10

    Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source Terms by Fidan, Ayşe, Pişkin, Erhan, Çelik, Ercan

    Published in Journal of function spaces (2024)
    “…In this paper, we consider the weighted m-biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the…”
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  11. 11

    A Necessary Optimality Condition on the Control of a Charged Particle by Aksoy, Nigar Yildirim, Celik, Ercan, Zengin, Merve

    Published in Symmetry (Basel) (01-06-2024)
    “…We consider an optimal control problem with the boundary functional for a Schrödinger equation describing the motion of a charged particle. By using the…”
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  12. 12

    Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator by Akdemir, Ahmet Ocak, Aslan, Sinan, Dokuyucu, Mustafa Ali, Çelik, Ercan

    Published in Journal of function spaces (2023)
    “…In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is…”
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  13. 13

    Numerical solution for high‐order linear complex differential equations with variable coefficients by Düşünceli, Faruk, Çelik, Ercan

    “…In this paper, we have obtained the numerical solutions of complex differential equations with variable coefficients by using the Legendre Polynomials and we…”
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  14. 14

    New exact solutions for the doubly dispersive equation using the improved Bernoulli sub-equation function method by Dusunceli, Faruk, Celik, Ercan, Askin, Muzaffer, Bulut, Hasan

    Published in Indian journal of physics (01-02-2021)
    “…In this study, the doubly dispersive equation is presented by the application of the improved Bernoulli sub-equation function method (IBSEFM). The doubly…”
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  15. 15

    The solvability of the optimal control problem for a nonlinear Schrödinger equation by Yildirim Aksoy, Nigar, Çelik, Ercan, Dadas, Muhammed Emin

    “…In this paper, we analyze the solvability of the optimal control problem for a nonlinear Schr\"{o}dinger equation. A Lions-type functional is considered as the…”
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  16. 16

    Evaluation of Investment Opportunities With Interval-Valued Fuzzy Topsis Method by Lanbaran, Naiyer Mohammadi, Celik, Ercan, Yiğider, Muhammed

    Published in Applied mathematics and nonlinear sciences (01-01-2020)
    “…The purpose of this study is extended the TOPSIS method based on interval-valued fuzzy set in decision analysis. After the introduction of TOPSIS method by…”
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  17. 17

    On the modulation instability analysis and deeper properties of the cubic nonlinear Schrödinger’s equation with repulsive δ-potential by Li, Yi-Xia, Celik, Ercan, Guirao, Juan L.G., Saeed, Tareq, Baskonus, Haci Mehmet

    Published in Results in physics (01-06-2021)
    “…•The generalized exponential rational function method to extract the complex, trigonometric, hyperbolic, dark bright soliton solutions of the cubic nonlinear…”
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  18. 18

    The variational iteration method for fuzzy fractional differential equations with uncertainty by Khodadadi, Ekhtiar, Çelik, Ercan

    “…In this paper the variational iteration method is used to solve the fractional differential equations with a fuzzy initial condition. We consider a…”
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  19. 19

    On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3 by Melike Karta, Ercan Celik

    Published in Discrete Dynamics in Nature and Society (01-01-2012)
    “…Numerical solution of differential-algebraic equations with Hessenberg index-3 is considered by variational iteration method. We applied this method to two…”
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  20. 20

    Modified iteration method for solving fractional gas dynamics equation by Najafi, Ramin, Küçük, Gökçe Dilek, Çeli̇k, Ercan

    “…This paper is devoted to the time‐fractional gas dynamics equation with Caputo derivative. Fractional operators are very natural tools to model…”
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