scholarly journals Mathematical modeling of cancer and hepatitis co-dynamics with non-local and non-singular kernel

2020 ◽  
Keyword(s):  
Mathematical Modeling ◽  
Singular Kernel ◽  
Non Local

scholarly journals Numerical Computation of a Fractional Derivative with Non-Local and Non-Singular Kernel

2017 ◽  
Vol 12 (3) ◽  
pp. 4-13 ◽  
Author(s):  
J.D. Djida ◽  
A. Atangana ◽  
I. Area
Keyword(s):  
Fractional Derivative ◽  
Numerical Computation ◽  
Singular Kernel ◽  
Non Local

Application of non‐local and non‐singular kernel to an epidemiological model with fractional order

2020 ◽  
Author(s):  
Mustafa Ali Dokuyucu ◽  
Hemen Dutta ◽  
Cansu Yildirim
Keyword(s):  
Fractional Order ◽  
Epidemiological Model ◽  
Singular Kernel ◽  
Non Local

scholarly journals A new numerical scheme applied on re-visited nonlinear model of predator-prey based on derivative with non-local and non-singular kernel

2020 ◽  
Vol 13 (3) ◽  
pp. 429-442
Author(s):  
Badr Saad T. Alkahtani ◽  
◽  
Ilknur Koca ◽  
Keyword(s):  
Nonlinear Model ◽  
Numerical Scheme ◽  
Singular Kernel ◽  
Predator Prey ◽  
Non Local

A novel method for a fractional derivative with non-local and non-singular kernel

2018 ◽  
Vol 114 ◽  
pp. 478-482 ◽  
Author(s):  
Ali Akgül
Keyword(s):  
Fractional Derivative ◽  
Singular Kernel ◽  
Novel Method ◽  
Non Local

scholarly journals MHD Flow and Heat Transfer in Sodium Alginate Fluid with Thermal Radiation and Porosity Effects: Fractional Model of Atangana–Baleanu Derivative of Non-Local and Non-Singular Kernel

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1295 ◽  
Author(s):  
Arshad Khan ◽  
Dolat Khan ◽  
Ilyas Khan ◽  
Muhammad Taj ◽  
Imran Ullah ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Temperature Profile ◽  
Sodium Alginate ◽  
Mhd Flow ◽  
Casson Fluid ◽  
Singular Kernel ◽  
Heat Transfer Analysis ◽  
Fractional Model ◽  
The Laplace Transform ◽  
Non Local

Heat transfer analysis in an unsteady magnetohydrodynamic (MHD) flow of generalized Casson fluid over a vertical plate is analyzed. The medium is porous, accepting Darcy’s resistance. The plate is oscillating in its plane with a cosine type of oscillation. Sodium alginate (SA–NaAlg) is taken as a specific example of Casson fluid. The fractional model of SA–NaAlg fluid using the Atangana–Baleanu fractional derivative (ABFD) of the non-local and non-singular kernel has been examined. The ABFD definition was based on the Mittag–Leffler function, and promises an improved description of the dynamics of the system with the memory effects. Exact solutions in the case of ABFD are obtained via the Laplace transform and compared graphically. The influence of embedded parameters on the velocity field is sketched and discussed. A comparison of the Atangana–Baleanu fractional model with an ordinary model is made. It is observed that the velocity and temperature profile for the Atangana–Baleanu fractional model are less than that of the ordinary model. The Atangana–Baleanu fractional model reduced the velocity profile up to 45.76% and temperature profile up to 13.74% compared to an ordinary model.

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