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Solving systems of fractional differential equations using differential transform method
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Elsevier B.V.
, 2007 , Article)
This paper presents approximate analytical solutions for systems of fractional differential equations using the differential transform method. The fractional derivatives are described in the Caputo sense. The application ...
Simpler is also better in approximating fixed points
(
Elsevier
, 2008 , Article)
In this paper we demonstrate that a number of fixed point iteration problems can be solved using a modified Krasnoselskij iteration process, which is much simpler to use than the other iteration schemes that have been defined
A generalized differential transform method for linear partial differential equations of fractional order
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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 ...
A simulated annealing technique for multi-objective simulation optimization
(
Elsevier
, 2009 , Article)
In this paper, we present a simulated annealing algorithm for solving multi-objective simulation optimization problems. The algorithm is based on the idea of simulated annealing with constant temperature, and uses a rule ...
Numerical methods for nonlinear partial differential equations of fractional order
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Elsevier B.V.
, 2008 , Article)
In this article, we implement relatively new analytical techniques, the variational iteration method and the Adomian decomposition method, for solving nonlinear partial differential equations of fractional order. The ...
Convergence theorems for nonself asymptotically nonexpansive mappings
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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 ...
Wireless transmission using cooperation on demand
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Elsevier B.V.
, 2009 , Article)
Mobile users with single antennas can still take advantage of spatial diversity through repetition based cooperative transmission. In this paper, we consider a scheme in which the cooperation is triggered only if the ...
Solving fractional diffusion and wave equations by modified homotopy perturbation method
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Elsevier B.V.
, 2007 , Article)
This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is ...
Likelihood and Bayesian estimation of using lower record values from the generalized exponential distribution
(
Elsevier Ltd
, 2007 , Article)
We consider the likelihood and Bayesian estimation of the stress-strength reliability based on lower record values from the generalized exponential distribution. The estimators are derived and their properties are studied. ...
On reality and asymptotics of zeros of q-Hankel transforms
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Elsevier Inc.
, 2008 , Article)
We give sufficient conditions which guarantee that the finite q-Hankel transforms have only real zeros which satisfy some asymptotic relations. The study is carried out using two different techniques. The first is by a use ...