SOME CAPABILITIES AND LIMITATIONS OF THE LAPLACE TRANSFORM METHOD FOR THE DIRECT ESTIMATION OF CONTINUOUS MOLECULAR WEIGHT DISTRIBUTIONS FROM EQUILIBRIUM ULTRACENTRIFUGATION

1969 ◽  
Vol 164 (1 Advances in U) ◽  
pp. 147-155 ◽  
Author(s):  
Thomas H. Donnelly
Keyword(s):  
Molecular Weight ◽  
Laplace Transform ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Direct Estimation ◽  
Molecular Weight Distributions ◽  
Weight Distributions ◽  
The Laplace Transform ◽  
Equilibrium Ultracentrifugation

scholarly journals Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Limei Yan
Keyword(s):  
Laplace Transform ◽  
Numerical Solutions ◽  
Convergent Series ◽  
Space Time ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Promising Tool ◽  
The Laplace Transform ◽  
Fokker Planck Equations ◽  
Fokker Planck

A relatively new iterative Laplace transform method, which combines two methods; the iterative method and the Laplace transform method, is applied to obtain the numerical solutions of fractional Fokker-Planck equations. The method gives numerical solutions in the form of convergent series with easily computable components, requiring no linearization or small perturbation. The numerical results show that the approach is easy to implement and straightforward when applied to space-time fractional Fokker-Planck equations. The method provides a promising tool for solving space-time fractional partial differential equations.

scholarly journals Exact solution of time-fractional partial differential equations using Laplace transform

2016 ◽  
Vol 5 (1) ◽  
pp. 86
Author(s):  
Naser Al-Qutaifi
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Laplace Transform ◽  
Fractional Partial Differential Equations ◽  
Laplace Transform Method ◽  
Partial Differential ◽  
Transform Method ◽  
Integer Order ◽  
First Derivative ◽  
The Laplace Transform

<p>The idea of replacing the first derivative in time by a fractional derivative of order , where , leads to a fractional generalization of any partial differential equations of integer order. In this paper, we obtain a relationship between the solution of the integer order equation and the solution of its fractional extension by using the Laplace transform method.</p>

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