New and Extended Applications of the Natural and Sumudu Transforms: Fractional Diffusion and Stokes Fluid Flow Realms

Author(s):  
Fethi Bin Muhammed Belgacem ◽  
Rathinavel Silambarasan ◽  
Hammouch Zakia ◽  
Toufik Mekkaoui
2010 ◽  
Vol 20 (10) ◽  
pp. 1103-1115 ◽  
Author(s):  
Ian J. Couchman ◽  
Eric C. Kerrigan
Keyword(s):  

2011 ◽  
Vol 2011 ◽  
pp. 1-24
Author(s):  
Afaf Bouharguane

We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove the global-in-time well-posedness in the neighbourhood of travelling-waves solutions of the Fowler equation.


Author(s):  
Nasrin Jahan Nasu ◽  
Md. Abdullah Al Mahbub ◽  
Shahid Hussain ◽  
Haibiao Zheng

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