ملخصات الابحاث

المجالات البحثية

الابحاث العلمية

1 - Computational methods and dynamical analysis for studying (1 + 1) dimensional functional equations of mixed integro-differential type (2025).

2 - Numerical Solution of Phase Lag Fractional Quadratic Integral Equations with Existence and Uniqueness Analysis (2025).

3 - Numerical solution and dynamical studies for (2 + 1) dimensional Volterra–Fredholm integral equations with a discontinuous kernel (2025).

4 - Numerical simulation and dynamical system for solving biomathematical model with optimal control (2025).

5 - Numerical solution and dynamical studies for solving system of Quadratic integral equations (2025).

6 - Dynamical investigation and numerical modeling of a fractional mixed nonlinear partial integro-differential problem in time and space (2024).

7 - A Computational Method for Solving Nonlinear Fractional Integral Equations (2024).

8 - Numerical solution, convergence and stability of error to solve quadratic mixed integral equation (2024).

9 - Solution of fractional integro-differential equations using least squares and shifted Legendre methods‏ (2024).

10 - A computational technique for computing second-type mixed integral equations with singular kernels (2024).

11 - A computational technique for computing second-type mixed integral equations with singular kernels (2024).

12 - Mathematical modeling for solving fractional model cancer bosom malignant growth (2023).

13 - Mathematical modeling for solving fractional model cancer bosom malignant growth (2023).

14 - Computational Techniques for Solving Mixed (1 + 1) Dimensional Integral Equations with Strongly Symmetric Singular Kernel (2023).

15 - Computational Techniques for Solving Mixed (1 + 1) Dimensional Integral Equations with Strongly Symmetric Singular Kernel (2023).

16 - Computational Methods for Solving Higher-Order (1+1) Dimensional Mixed-Difference Integro-Differential Equations with Variable Coefficients (2023).

17 - Computational Methods for Solving Higher-Order (1+1) Dimensional Mixed-Difference Integro-Differential Equations with Variable Coefficients (2023).

18 - A Computational Technique for Solving Three-Dimensional Mixed Volterra–Fredholm Integral Equations (2023).

19 - A Computational Technique for Solving Three-Dimensional Mixed Volterra–Fredholm Integral Equations (2023).

20 - Approximate solution of Cauchy integral equations by using Lucas polynomials (2022).

21 - HERMITE-GALERKIN AND FIBONACCI-COLLOCATION METHODS FOR SOLVING TWO-DIMENSIONAL NONLINEAR FREDHOLM INTEGRAL EQUATION (2022).

22 - Chelyshkov polynomials strategy for solving 2-dimensional nonlinear Volterra integral equations of the first kind (2022).

23 - Application of Lerch Polynomials to Approximate Solution of Singular Fredholm Integral Equations with Cauchy Kernel (2022).

24 - A COMPARISON BETWEEN BERNOULLI-COLLOCATION METHOD AND HERMITE-GALERKIN METHOD FOR SOLVING TWO-DIMENSIONAL MIXED VOLTERRA-FREDHOLM SINGULAR INTEGRAL EQUATIONS (2021).

25 - Some Inclusion Properties of Certain Subclasses of Analytic Functions Defined by Using the Tremblay Fractional Derivative Operator (2021).

26 - Chelyshkov's Collocation Method for Solving Three-Dimensional Linear Fredholm Integral Equations (2019).

27 - Numerical Solution of two-dimensional Fredholm Integral Equation by Chebyshev and Legendre polynomials using Collocation Method (2018).

28 - Comparison of Chebyshev and Legendre polynomials methods for solving two dimensional Volterra - Fredholm integral equations (2017).

29 - Variational Iteration Method for Solving Two Dimensional Volterra - Fredholm Nonlinear Integral Equations (2016).

30 - A numerical Approach for solving classes of Linear and Nonlinear Volterra Integral Equations by Chebyshev polynomial (2016).

31 - Legendre Polynomial and Iterative Decomposition Methods for Linear Fractional Integro-Differential Equations (2016).

32 - Comparison Between Newton-Kantorovich Method and Adomian Decomposition Method for Solving a Class of Nonlinear Fredholm Integral Equations (2016).

33 - Approximate solution of two-dimensional Volterra integral equation by Chebyshev polynomial method and Adomian decomposition method (2016).

34 - Approximate Solution of Class of Nonlinear Fractional Integro-Differential Equations Using Bernstein Polynomial and Shifted Legendre Polynomials Methods (2015).

35 - Comparison of He’s variational iteration and Taylor Expansion Methods for the Solutions of Fractional Integro-Differential Equations (2015).

36 - Approximate Solution of Nonlinear fractional Integro-Dierential Equations By He's Homotopy Perturbation Method And The Modication of He's Variational Iteration Method (2015).

37 - SOLVING SYSTEM OF NONLINEAR FREDHOLM FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS BY USING ADOMIAN DECOMPOSITION METHOD AND THE MODIFICATION OF HE'S VARIATIONAL ITERATION METHOD (2015).

38 - The Solution of Nonlinear Fractional Integro-Dierential Equations By Using Shifted Chebyshev Polynomials Method And Adomian Decomposition Method (2015).

39 - NUMERICAL SOLUTION OF FRACTIONAL SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS BY USING TAYLOR SERIES EXPANSION AND GALERKIN METHOD (2014).

40 - Fractional Calculus for Solving generalized Abel’s Integral Equations using Chebyshev Polynomials (2014).

41 - Numerical Solution of Fractional Integro-Differential Equations by Least Squares Method and Shifted Chebyshev Polynomial (2014).

42 - Numerical solution of singular and non singular integral equations (2013).

43 - Numerical solution of linear Fredholm integral equations (2012).

44 - NONLINEAR SINGULAR INTEGRAL EQUATIONS WITH SHIFT IN THE GENERALIZED HÖLDER SPACES (2010).

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