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Browsing Fen - Edebiyat Fakültesi by Subject "Operational Matrix"

Now showing items 1-20 of 30

A direct numerical solution of time-delay fractional optimal control problems by using Chelyshkov wavelets

Moradi, L.; Mohammadi, F.; Baleanu, Dumitru (Sage Publications LTD, 2019-01)

The aim of the present study is to present a numerical algorithm for solving time-delay fractional optimal control problems (TDFOCPs). First, a new orthonormal wavelet basis, called Chelyshkov wavelet, is constructed from ...
A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line

Bhrawy, A. H.; Alzahrani, Abdulrahim A.; Baleanu, Dumitru; Alhamed, Yahia A. (Hindawi LTD, 2014)

The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line. The proposed ...
A novel Jacobi operational matrix for numerical solution of multi-term variable-order fractional differential equations

El-Sayed, A. A.; Baleanu, Dumitru; Agarwal, P. (2020-01-01)

In this article, we introduce a numerical technique for solving a class of multi-term variable-order fractional differential equation.The method depends on establishing a shifted Jacobi operational matrix (SJOM) of fractional ...
A novel spectral approximation for the two-dimensional fractional sub-diffusion problems

Bhrawy, A. H.; Zaxy, M. A.; Baleanu, Dumitru; Abdelkawy, M. A. (Editura Academiei Romane, 2015)

This paper reports a new numerical method that enables easy and convenient discretization of a two-dimensional sub-diffusion equation with fractional derivatives of any order. The suggested method is based on Jacobi tau ...
A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems

Baleanu, Dumitru (Sage Publications Ltd., 2017-01)

The numerical solution of a fractional optimal control problem having a quadratic performance index is proposed and analyzed. The performance index of the fractional optimal control problem is considered as a function of ...
A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems

Ezz-Eldien, S. S.; Doha, E. H.; Baleanu, Dumitru; Bhrawy, A. H. (Sage Publications LTD, 2017-01)

The numerical solution of a fractional optimal control problem having a quadratic performance index is proposed and analyzed. The performance index of the fractional optimal control problem is considered as a function of ...
A numerical approach for fractional order Riccati differential equation using b-spline operational matrix

Jafari, Hossein; Tajadodi, Haleh; Baleanu, Dumitru (Walter De Gruyter GMBH, 2015-04)

In this article, we develop an effective numerical method to achieve the numerical solutions of nonlinear fractional Riccati differential equations. We found the operational matrix within the linear B-spline functions. By ...
A numerical approach for solving fractional optimal control problems with mittag-leffler kernel

Jafari, Hossein; Ganji, Roghayeh M.; Sayevand, Khosro; Baleanu, Dumitru (2021-05)

In this work, we present a numerical approach based on the shifted Legendre polynomials for solving a class of fractional optimal control problems. The derivative is described in the Atangana-Baleanu derivative sense. To ...
A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations

Bhrawy, A. H.; Doha, E. H.; Baleanu, Dumitru; Ezz-Eldien, S. S. (Academic Press INC Elsevier Science, 2015-07-15)

In this paper, an efficient and accurate spectral numerical method is presented for solving second-, fourth-order fractional diffusion-wave equations and fractional wave equations with damping. The proposed method is based ...
A Tau–Like Numerical Method for Solving Fractional Delay Integro–Differential Equations

Shahmorad, Sedaghat; Ostadzad, M.H.; Baleanu, Dumitru (Elsevier B.V., 2020-05)

In this paper, an operational matrix formulation of the Tau method is herein discussed to solve a class of delay fractional integro–differential equations. The approximate solution is sought by using a suitable matrix ...
An Accurate Numerical Technique for Solving Fractional Optimal Control Problems

Bhrawy, A. H.; Doha, E. H.; Baleanu, Dumitru; Abdelkawy, M. A.; Ezz-Eldien, S. S. (Editura Academiei Romane, 2015-01-01)

In this article, we propose the shifted Legendre orthonormal polynomials for the numerical solution of the fractional optimal control problems that appear in several branches of physics and engineering. The Rayleigh-Ritz ...
An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets

Kumar, Sunil; Ahmadian, Ali; Kumar, Ranbir; Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru; Salimi, Mehdi (2020-04)

In this paper, the operational matrix based on Bernstein wavelets is presented for solving fractional SIR model with unknown parameters. The SIR model is a system of differential equations that arises in medical science ...
An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems

Doha, Eid H.; Bhrawy, Ali H.; Baleanu, Dumitru; Ezz-Eldien, Samer S.; Hafez, R. M. (Springer International Publishing, 2015-01-30)

In this article, we introduce a numerical technique for solving a general form of the fractional optimal control problem. Fractional derivatives are described in the Caputo sense. Using the properties of the shifted Jacobi ...
Chebyshev Cardinal Functions for A New Class of Nonlinear Optimal Control Problems With Dynamical Systems of Weakly Singular Variable-Order Fractional Integral Equations

Heydari, Mohammad Hossein; Mahmoudi, Mohammad Reza; Avazzadeh, Zakieh; Baleanu, Dumitru (Sage Publications INC, 2020-05-01)

The main objectives of this study are to introduce a new class of optimal control problems governed by a dynamical system of weakly singular variable-order fractional integral equations and to establish a computational ...
Derivation of operational matrix of Rabotnov fractional-exponential kernel and its application to fractional Lienard equation

Kumar, Sachin; Gomez-Aguilar, J. F.; Lavin-Delgado, J. E.; Baleanu, Dumitru (2020-10)

Our motive in this contribution is to find out the operational matrix of fractional derivative having non singular kernel namely Rabotnov fractional-exponential (RFE) kernel which is recently introduced and seeking numerical ...
New numerical approach for fractional variational problems using shifted legendre orthonormal polynomials

Ezz-Eldien, Samer S.; Hafez, R. M.; Bhrawy, Ali H.; Baleanu, Dumitru; El-Kalaawy, Ahmed A. (Springer/Plenum Publishers, 2017-07)

This paper reports a new numerical approach for numerically solving types of fractional variational problems. In our approach, we use the fractional integrals operational matrix, described in the sense of Riemann-Liouville, ...
New numerical approximations for space-time fractional Burgers’ equations via a Legendre spectral-collocation method

Bhrawy, Ali H.; Zaky, Mahmoud A.; Baleanu, Dumitru (2015)

Burgers’ equation is a fundamental partial differential equation in fluid mechanics. This paper reports a new space-time spectral algorithm for obtaining an approximate solution for the space-time fractional Burgers’ ...
Normalized Lucas wavelets: an application to Lane–Emden and pantograph differential equations

Kumar, Rakesh; Koundal, Reena; Srivastava, K.; Baleanu, Dumitru (2020-11-01)

In this paper, a novel normalized Lucas wavelet scheme based on tau approach is proposed for the two classes of second-order differential equations, namely Lane–Emden and pantograph equations. The introduced scheme depends ...
Numerical Investigation of Ordinary and Partial Differential Equations with Variable Fractional Order by Bernstein Operational Matrix

Taleshian, Amir Hosein; Alipour, Mohsen; Babakhani, Azizolla; Baleanu, Dumitru (2022-12)

This research proposes a method to find numerical solutions of the variable-order fractional differential equation. We derived new operational matrix by applying Bernstein polynomials. Then, using this matrix, the method ...
Numerical solution of two-dimensional time fractional cable equation with Mittag-Leffler kernel

Kumar, Sachin; Baleanu, Dumitru (2020-05)

The main motive of this article is to study the recently developed Atangana-Baleanu Caputo (ABC) fractional operator that is obtained by replacing the classical singular kernel by Mittag-Leffler kernel in the definition ...

Now showing items 1-20 of 30

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Browsing Fen - Edebiyat Fakültesi by Subject "Operational Matrix"

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