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A generalized differential transform method for linear partial differential equations of fractional order
(
Elsevier B.V.
, 2007 , Article)
In this letter we develop a new generalization of the two-dimensional differential transform method that will extend the application of the method to linear partial differential equations with space- and time-fractional ...
The modified homotopy perturbation method for solving strongly nonlinear oscillators
(
Elsevier
, 2009 , Article)
In this paper we propose a reliable algorithm for the solution of nonlinear oscillators. Our algorithm is based upon the homotopy perturbation method (HPM), Laplace transforms, and Padé approximants. This modified homotopy ...
On the numerical simulation of population dynamics with density-dependent migrations and the Allee effects
(
IOP Publishing
, 2008 , Article)
In this paper, the variational iteration method (VIM) and the Adomian decomposition method (ADM) are presented for the numerical simulation of the population dynamics model with density-dependent migrations and the Allee ...
An upper bound of the basis number of the semi-strong product of cycles with bipartite graphs
(
The Korean Mathematical Society
, 2007 , Article)
An upper bound of the basis number of the semi-strong product of cycles with bipartite graphs is given. Also, an example is presented where the bound is achieved.
Fixing the Kingdom: Political Evolution and Socio-Economic Challenges in Bahrain
(
Georgetown University School of Foreign Service in Qatar
, 2008 , Article)
Bahrain has entered into a more ‘progressive’ phase of its history under King Hamad bin Isa Al Khalifa. Various parliamentary and legislative restructuring, in addition to discernable changes within civil society, have ...
Knockout mice: Is it just genetics? Effect of enriched housing on fibulin-4+/- mice
(
Public Library of Science
, 2007 , Article)
Background. Fibulin-4 is an extracellular matrix protein expressed by vascular smooth muscle cells that is essential for maintaining arterial integrity. Fibulin-4-/- mice die just before birth due to arterial hemorrhage, ...
Numerical bifurcation of predator-prey fractional differential equations with a constant rate harvesting
(
IOP Publishing
, 2008 , Article)
In this article saddle and Hopf bifurcation points of predator-prey fractional differential equations system with a constant rate harvesting are investigated. The numerical results based on Grunwald-Letnikov discretization ...
Application of homotopy-perturbation method to fractional IVPs
(
Elsevier
, 2008 , Article)
Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become ...
Convergence theorems for nonself asymptotically nonexpansive mappings
(
Elsevier B.V.
, 2007 , Article)
In this paper, we prove some strong and weak convergence theorems using a modified iterative process for nonself asymptotically nonexpansive mappings in a uniformly convex Banach space. This will improve and generalize the ...
Reduction kinetics of ceria surface by hydrogen
(
Elsevier
, 2004 , Article)
Sintered ceria pellets of porosity 16.4% and density 5.99gcm−3 were treated in a hydrogen flow at 1atm and various temperatures. The electrical conductivity was measured in situ while hydrogen gas was flowing over the CeO2. ...