Positivity Analysis of Continuous 2D Fornasini-Marchesini Fractional Model

Author(s):  
Krzysztof Rogowski
Keyword(s):  
2015 ◽  
Vol 46 ◽  
pp. 66-78 ◽  
Author(s):  
Catherine A. Durham ◽  
Linda J. Wechsler ◽  
Michael T. Morrissey

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Nadeem Ahmad Sheikh ◽  
Dennis Ling Chuan Ching ◽  
Ilyas Khan ◽  
Hamzah Bin Sakidin ◽  
Muhammad Jamil ◽  
...  

AbstractThe present work used fractional model of Casson fluid by utilizing a generalized Fourier’s Law to construct Caputo Fractional model. A porous medium containing nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for energy equation and then solved by using integral transforms, combinedly, the Fourier and Laplace transformations. The results are shown in form of Mittag-Leffler function. The influence of physical parameters have been presented in graphs and values in tables are discussed in this work. The results reveal that heat transfer increases with increasing values of the volume fraction of nanoparticles, while the velocity of the nanofluid decreases with the increasing values of volume fraction of these particles.


Author(s):  
Muhammad Arif ◽  
Poom Kumam ◽  
Wiyada Kumam ◽  
Ilyas Khan ◽  
Muhammad Ramzan

2021 ◽  
Vol 60 (4) ◽  
pp. 3593-3604
Author(s):  
Muhammad Danish Ikram ◽  
Muhammad Imran Asjad ◽  
Ali Akgül ◽  
Dumitru Baleanu

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