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Now showing items 1-13 of 13

A Uniqueness Result for Differential Pencils With Discontinuities From İnterior Spectral Data

Khalili, Yasser; Baleanu, Dumitru (De Gruyter Open LTD, 2018-11-01)

In this work, the interior spectral data is employed to study the inverse problem for a differential pencil with a discontinuity on the half line. By using a set of values of the eigenfunctions at some internal point and ...
An Avant-Garde Handling of Temporal-Spatial Fractional Physical Models

Jaradat, Imad; Alquran, Marwan; Katatbeh, Qutaibeh; Yousef, Feras; Momani, Shaher Mohammad; Baleanu, Dumitru (De Gruyter Open LTD, 2019)

In the present study, we dilate the differential transform scheme to develop a reliable scheme for studying analytically the mutual impact of temporal and spatial fractional derivatives in Caputo's sense. We also provide ...
Analysis of a New Fractional Model for Damped Bergers' Equation

Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru (De Gruyter Open LTD, 2017)

In this article, we present a fractional model of the damped Bergers' equation associated with the Caputo-Fabrizio fractional derivative. The numerical solution is derived by using the concept of an iterative method. The ...
Analysis of Drude model using fractional derivatives without singular kernels

Martinez Jimenez, Leonardo; Rosales Garcia, J. Juan; Ortega Contreras, Abraham; Baleanu, Dumitru (De Gruyter Open LTD, 2017-01)

We report study exploring the fractional Drude model in the time domain, using fractional derivatives without singular kernels, Caputo-Fabrizio (CF), and fractional derivatives with a stretched Mittag-Leffer function. It ...
Cantor-type spherical-coordinate method for differential equationswithin local fractional derivatives

Rahmat, MRS; Baleanu, Dumitru; Yang, XJ (De Gruyter Open LTD, 2015)

In this article, we utilize the Cantor-type spherical coordinate method to investigate a family of local fractional differential operators on Cantor sets. Some examples are discussed to show the capability of this method ...
Comments On: the Failure of Certain Fractional Calculus Operators in Two Physical Models"

Baleanu, Dumitru (De Gruyter Open LTD, 2017-02-01)

In these comments, I analyse the results reported by Ortigueira et al. [18] regarding the potential applications of non-singular fractional operators suggested by Caputo-Fabrizio and Atangana-Baleanu. My purpose is to show ...
Determination of An Impulsive Diffusion Operator From Interior Spectral Data

Khalili, Yasser; Baleanu, Dumitru (De Gruyter Open LTD, 2020-03-01)

In the present work, the interior spectral data is used to investigate the inverse problem for a diffusion operator with an impulse on the half line. We show that the potential functions q0(x) and q1 (x) can be uniquely ...
Fractional Hamilton's equations of motion in fractional time

Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M. (De Gruyter Open LTD, 2007-12)

The Hamiltonian formulation for mechanical systems containing Riemman-Liouville fractional derivatives are investigated in fractional time. The fractional Hamilton's equations are obtained and two examples are investigated ...
Laplace homotopy perturbation method for Burgers equation with space- and time-fractional order

Johnston, S. J.; Jafari, Hossein; Moshokoa, S. P.; Ariyan, Vernon; Baleanu, Dumitru (De Gruyter Open LTD, 2016-01)

The fractional Burgers equation describes the physical processes of unidirectional propagation of weakly nonlinear acoustic waves through a gas-filled pipe. The Laplace homotopy perturbation method is discussed to obtain ...
Numerical solutions for odes with local fractional derivative

Yang, X. J.; Baleanu, Dumitru; Machado, J. A. Tenreiro (De Gruyter Open LTD, 2015)

In this chapter an efficient numerical algorithm for solving ODEs using the extended differential transform method via the generalized local fractional Taylor theorem is presented. Four examples are studied in order to ...
Numerical solutions of the initial value problem for fractional differential equations by modification of the adomian decomposition method

Khodabakhshi, Neda; Vaezpour, SM; Baleanu, Dumitru (De Gruyter Open LTD, 2014-06)

In this paper, we extend a reliable modification of the Adomian decomposition method presented in [34] for solving initial value problem for fractional differential equations. In order to confirm the applicability and ...
On combined optical solitons of the one-dimensional Schrodinger's equation with time dependent coefficients

Kılıç, Bülent; İnç, Mustafa; Baleanu, Dumitru (De Gruyter Open LTD, 2016-01)

This paper integrates dispersive optical solitons in special optical metamaterials with a time dependent coefficient. We obtained some optical solitons of the aforementioned equation. It is shown that the examined dependent ...
On soliton solutions of the Wu-Zhang system

İnç, Mustafa; Kılıç, Bülent; Karataş, Esra; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru; Tchier, Fairouz (De Gruyter Open LTD, 2016-01)

In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.

Now showing items 1-13 of 13

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