Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators
TLDR
In this paper, a comparison between the local fractional Adomian decomposition (LFAAD) and LFAFL decomposition was performed for solving the Laplace equation. But the results illustrate the significant features of the two methods which are both very effective and straightforward for solving differential equations with local fractionals derivative.Abstract:
We perform a comparison between the local fractional Adomian decomposition and local fractional function decomposition methods applied to the Laplace equation. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional derivative.read more
Citations
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An efficient computational technique for local fractional Fokker Planck equation
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Reduced differential transform method for partial differential equations within local fractional derivative operators
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References
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TL;DR: In this paper, the nonlocal Cauchy problem is discussed for the fractional evolution equations in an arbitrary Banach space and various criteria on the existence and uniqueness of mild solutions are obtained.
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Analytical solution of a time-fractional Navier–Stokes equation by Adomian decomposition method
Shaher Momani,Zaid Odibat +1 more
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Fractal heat conduction problem solved by local fractional variation iteration method
Xiao-Jun Yang,Dumitru Baleanu +1 more
TL;DR: In this article, a local fractional variational iteration method for processing the local heat conduction equation arising in fractal heat transfer is presented. But the method is not suitable for the case of large-scale heat transfer.