Browsing Matematik Bölümü by Publisher "Wiley"

Now showing items 1-19 of 19

A highly accurate Jacobi collocation algorithm for systems of high-order linear differential-difference equations with mixed initial conditions

Bhrawy, A. H.; Doha, E. H.; Baleanu, Dumitru; Hafez, R. M. (Wiley, 2015-09-30)

In this paper, a shifted Jacobi-Gauss collocation spectral algorithm is developed for solving numerically systems of high-order linear retarded and advanced differential-difference equations with variable coefficients ...
A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs

Odibat, Zaid; Baleanu, Dumitru (Wiley, 2019-12)

In this paper, a novel approach, namely, the linearization-based approach of homotopy analysis method, to analytically treat non-linear time-fractional PDEs is proposed. The presented approach suggests a new optimized ...
A robust and accurate disturbance damping control design for nonlinear dynamical systems

Jajarmi, Amin; Hajipour, Mojtaba; Sajjadi, Samaneh Sadat; Baleanu, Dumitru (Wiley, 2019-05)

The principle result of this paper is the following disturbance rejection control scheme for a class of nonlinear dynamical systems. By using the internal model principle, the problem of disturbance damping control is ...
Analysis of the effect of potential cycles on the reflective infrared signals of nitro groups in nanofilms: application of the fractional moments statistics

Nigmatullin, Raoul R.; Alekhin, A. P.; Baleanu, Dumitru; Dinç, Erdal; Üstündağ, Zafer; Ekşi, Haslet; Solak, Ali Osman (Wiley, 2010-02)

The effect of the potential cycles on the reflective IR signals of nitro-groups in nanofilms was studied for the statistical characterization of nitrobenzene (NB) and nitroazobenzene (NAB)-modified glassy carbon (GC) ...
Approximate solutions to the conformable Rosenau-Hyman equation using the two-step Adomian decomposition method with Pade approximation

Akgül, Ali; Aliyu, Aliyu Isa; İnç, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru (Wiley, 2019-10)

This paper adopts the Adomian decomposition method and the Pade approximation techniques to derive the approximate solutions of a conformable Rosenau-Hyman equation by considering the new definition of the Adomian polynomials. ...
Higher order finite element solution of the one-dimensional Schrodinger equation

Eid, R. (Wiley, 1999-01-15)

The one-dimensional Schrodinger equation has been examined by means of the confined system defined on a finite interval. The eigenvalues of the resulting bounded problem subject to the Dirichlet boundary conditions are ...
Lattice fractional diffusion equation of random order

Wu, Guo-Cheng; Baleanu, Dumitru; Xie, He-Ping; Zeng, Sheng-Da (Wiley, 2017-11-30)

The discrete fractional calculus is used to fractionalize difference equations. Simulations of the fractional logistic map unravel that the chaotic solution is conveniently obtained. Then a Riesz fractional difference is ...
Modified Galerkin algorithm for solving multitype fractional differential equations

Alsuyuti, Muhammad M.; Doha, Eid H.; Ezz-Eldien, Samer S.; Bayoumi, Bayoumi I.; Baleanu, Dumitru (Wiley, 2019-03-30)

The primary point of this manuscript is to dissect and execute a new modified Galerkin algorithm based on the shifted Jacobi polynomials for solving fractional differential equations (FDEs) and system of FDEs (SFDEs) ...
On stable iterative solutions for a class of boundary value problem of nonlinear fractional order differential equations

Ali, Sajjad; Shah, Kamal; Jarad, Fahd (Wiley, 2019-02)

In this article, sufficient conditions for the existence of extremal solutions to nonlinear boundary value problem (BVP) of fractional order differential equations (FDEs) are provided. By using the method of monotone ...
On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law

Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru (Wiley, 2019-09)

The present article deals with a fractional extension of the vibration equation for very large membranes with distinct special cases. The fractional derivative is considered in Atangana-Baleanu sense. A numerical algorithm ...
On the local fractional wave equation in fractal strings

Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila (Wiley, 2019-03-30)

The key aim of the present study is to attain nondifferentiable solutions of extended wave equation by making use of a local fractional derivative describing fractal strings by applying local fractional homotopy perturbation ...
Optimal chemotherapy and immunotherapy schedules for a cancer-obesity model with Caputo time fractional derivative

Akman Yıldız, Tuğba; Arshad, Sadia; Baleanu, Dumitru (Wiley, 2018-12)

This work presents a new mathematical model to depict the effect of obesity on cancerous tumor growth when chemotherapy and immunotherapy have been administered. We consider an optimal control problem to destroy the tumor ...
Optimal Control of Nonlinear Dynamical Systems Based On A New Parallel Eigenvalue Decomposition Approach

Jajarmi, Amin; Baleanu, Dumitru (Wiley, 2018-03)

This manuscript aims to investigate a new approach based on the modal series method and eigenvalue decomposition technique to solve a class of nonlinear optimal control problems. For this purpose, a sequence of decoupled ...
Quaternion fourier integral operators for spaces of generalized quaternions

Al-Omari, Shrideh Khalaf Qasem; Baleanu, Dumitru (Wiley, 2018-12)

This article aims to discuss a class of quaternion Fourier integral operators on certain set of generalized functions, leading to a method of discussing various integral operators on various spaces of generalized functions. ...
Regularized solution for nonlinear elliptic equations with random discrete data

Phuong, Nguyen Duc; Tuan, Nguyen Huy; Baleanu, Dumitru; Luc, Nguyen Hoang (Wiley, 2019-12)

The aim of this paper is to study the Cauchy problem of determining a solution of nonlinear elliptic equations with random discrete data. A study showing that this problem is severely ill posed in the sense of Hadamard, ...
Solving FDEs with Caputo-Fabrizio derivative by operational matrix based on Genocchi polynomials

Roshan, Sedighe Sadeghi; Jafari, Hossein; Baleanu, Dumitru (Wiley, 2018-12)

We introduce a new approach to solve a type of fractional order differential equations without singularity. For fractional integration, we obtain the operational matrix through Genocchi polynomials. Some examples are ...
Spectral technique for solving variable-order fractional Volterra integro-differential equations

Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Baleanu, Dumitru (Wiley, 2018-09)

This article, presented a shifted Legendre Gauss-Lobatto collocation (SL-GL-C) method which is introduced for solving variable-order fractional Volterra integro-differential equation (VO-FVIDEs) subject to initial or ...
Spectral Technique for Solving Variable-Order Fractional Volterra Integro-Differential Equations

Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Baleanu, Dumitru (Wiley, 2018-09)

This article, presented a shifted Legendre Gauss-Lobatto collocation (SL-GL-C) method which is introduced for solving variable-order fractional Volterra integro-differential equation (VO-FVIDEs) subject to initial or ...
Study of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditions

Samina; Shah, Kamal; Khan, Rahmat Ali; Baleanu, Dumitru (Wiley, 2019-04)

In this paper, the first purpose is to study existence and uniqueness of solutions to a system of implicit fractional differential equations (IFDEs) equipped with antiperiodic boundary conditions (BCs). To obtain the ...

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