Search Results - "Odibat, Zaid M."

A study on the convergence of variational iteration method by Odibat, Zaid M.

“…Variational iteration method has been widely used to handle linear and nonlinear models. The main property of the method is its flexibility and ability to…”
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Adaptive feedback control and synchronization of non-identical chaotic fractional order systems by Odibat, Zaid M.

“…This paper addresses the reliable synchronization problem between two non-identical chaotic fractional order systems. In this work, we present an adaptive…”
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A nonlinear fractional model to describe the population dynamics of two interacting species by Kumar, Sunil, Kumar, Amit, Odibat, Zaid M.

“…In this paper, the approximate analytical solutions of Lotka–Volterra model with fractional derivative have been obtained by using hybrid analytic approach…”
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Generalized Taylor’s formula by Odibat, Zaid M., Shawagfeh, Nabil T.

“…In this paper, a new generalized Taylor’s formula of the kind f ( x ) = ∑ j = 0 n a j ( α ) ( x - a ) j α + R n α ( x ) , where a j ∈ R , x > a, 0 < α ⩽ 1, is…”
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Differential transform method for solving Volterra integral equation with separable kernels by Odibat, Zaid M.

“…In this paper, Volterra integral equations with separable kerenels are solved using the differential transform method. The approximate solution of this…”
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A study on the convergence of homotopy analysis method by Odibat, Zaid M.

“…In this study, a reliable approach for convergence of the homotopy analysis method when applied to nonlinear problems is discussed. First, we present an…”
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A study on the convergence conditions of generalized differential transform method by Odibat, Zaid M., Kumar, Sunil, Shawagfeh, Nabil, Alsaedi, Ahmed, Hayat, Tasawar

“…This paper deals with constructing generalized ‘fractional’ power series representation for solutions of fractional order differential equations. We present a…”
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A new modification of the homotopy perturbation method for linear and nonlinear operators by Odibat, Zaid M.

“…In this paper we present an efficient modification of the homotopy perturbation method that will facilitate the calculations. We then conduct a comparative…”
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An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD 4 + T-cells by Ertürk, Vedat Suat, Odibat, Zaid M., Momani, Shaher

“…In this paper, a fractional order differential system for modeling human T-cell lymphotropic virus I (HTLV-I) infection of CD4 + T-cells is studied and its…”
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Computing eigenelements of boundary value problems with fractional derivatives by Odibat, Zaid M.

“…Variational iteration method has been successfully implemented to handle linear and nonlinear differential equations. The main property of the method is its…”
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Approximate solutions for boundary value problems of time-fractional wave equation by Odibat, Zaid M., Momani, Shaher

“…In this article, we implement relatively a new analytical technique, the Adomian decomposition method, for solving the boundary value problems of…”
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Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives by Odibat, Zaid M.

“…In this work, variants of the KdV equation with time-fractional derivatives, which exhibits compactons: solitons with compact support, are investigated. New…”
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Reliable approaches of variational iteration method for nonlinear operators by Odibat, Zaid M.

“…In this paper, new approaches of the variational iteration method are developed to handle nonlinear problems. The proposed approaches are capable of reducing…”
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Rectangular decomposition method for fractional diffusion-wave equations by Odibat, Zaid M.

“…In this paper, a new modification of the Adomian decomposition method is effectively implemented for solving fractional diffusion-wave equations that will…”
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Fractional green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics by Momani, Shaher, Odibat, Zaid M

“…This paper deals with the solutions of linear inhomogeneous time-fractional partial differential equations in applied mathematics and fluid mechanics. The…”
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A reliable modification of the rectangular decomposition method by Odibat, Zaid M.

“…In this paper, we present a powerful modification of the rectangular decomposition method that is used to solve fractional diffusion-wave equations. The new…”
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On the approximation of integrals using homotopy perturbation method by Odibat, Zaid M.

“…In this paper, an application of the homotoy perturbation method is proposed to approximate integrals that cannot be expressed in terms of analytical…”
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Analytic study on linear systems of fractional differential equations by Odibat, Zaid M.

“…An analytic study on linear systems of fractional differential equations with constant coefficients is presented. We briefly describe the issues of existence,…”
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Computational algorithms for computing the fractional derivatives of functions by Odibat, Zaid M.

“…In this paper, we propose algorithms to compute the fractional derivatives of a function by a weighted sum of function values at specified points. The…”
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A multi-step differential transform method and application to non-chaotic or chaotic systems by Odibat, Zaid M., Bertelle, Cyrille, Aziz-Alaoui, M.A., Duchamp, Gérard H.E.

“…The differential transform method (DTM) is an analytical and numerical method for solving a wide variety of differential equations and usually gets the…”
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