Search Results - "CELIK, Ercan"
-
1
The Consecutive Substitution Method for Boundary Value Problems (BVPs) with Retarded Argument
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…”
Get full text
Journal Article -
2
On the new hyperbolic wave solutions to Wu-Zhang system models
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…”
Get full text
Journal Article -
3
An approximate solution of singularly perturbed problem on uniform mesh
Published in An international journal of optimization and control (01-01-2024)“…In this study, we obtain approximate solution for singularly perturbed problem of differential equation having two integral boundary conditions. With this…”
Get full text
Journal Article -
4
Analytical and approximate solutions of Fractional Partial Differential-Algebraic Equations
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…”
Get full text
Journal Article -
5
Numerical solution of Volterra–Fredholm integral equations with Hosoya polynomials
Published in Mathematical methods in the applied sciences (30-09-2021)“…In this study, Volterra–Fredholm integral equation is solved by Hosoya polynomials. The solutions obtained with these methods were compared on the figure and…”
Get full text
Journal Article -
6
Prediction of Breast Cancer through Tolerance-based Intuitionistic Fuzzy-rough Set Feature Selection and Artificial Neural Network
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…”
Get full text
Journal Article -
7
Solitary wave solutions to some nonlinear conformable partial differential equations
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…”
Get full text
Journal Article -
8
Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation
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…”
Get full text
Journal Article -
9
Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation
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…”
Get full text
Journal Article -
10
Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source Terms
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…”
Get full text
Journal Article -
11
A Necessary Optimality Condition on the Control of a Charged Particle
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…”
Get full text
Journal Article -
12
Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator
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…”
Get full text
Journal Article -
13
Numerical solution for high‐order linear complex differential equations with variable coefficients
Published in Numerical methods for partial differential equations (01-09-2018)“…In this paper, we have obtained the numerical solutions of complex differential equations with variable coefficients by using the Legendre Polynomials and we…”
Get full text
Journal Article -
14
New exact solutions for the doubly dispersive equation using the improved Bernoulli sub-equation function method
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…”
Get full text
Journal Article -
15
The solvability of the optimal control problem for a nonlinear Schrödinger equation
Published in An international journal of optimization and control (2023)“…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…”
Get full text
Journal Article -
16
Evaluation of Investment Opportunities With Interval-Valued Fuzzy Topsis Method
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…”
Get full text
Journal Article -
17
On the modulation instability analysis and deeper properties of the cubic nonlinear Schrödinger’s equation with repulsive δ-potential
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…”
Get full text
Journal Article -
18
The variational iteration method for fuzzy fractional differential equations with uncertainty
Published in Fixed point theory and algorithms for sciences and engineering (01-01-2013)“…In this paper the variational iteration method is used to solve the fractional differential equations with a fuzzy initial condition. We consider a…”
Get full text
Journal Article -
19
On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3
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…”
Get full text
Journal Article -
20
Modified iteration method for solving fractional gas dynamics equation
Published in Mathematical methods in the applied sciences (15-03-2017)“…This paper is devoted to the time‐fractional gas dynamics equation with Caputo derivative. Fractional operators are very natural tools to model…”
Get full text
Journal Article