Comprehensive analysis of integer-order, Caputo-Fabrizio (CF) and Atangana-Baleanu (ABC) fractional time derivative for MHD Oldroyd-B fluid with slip effect and time dependent boundary condition

Figure 1.  Geometry of flow

Figure 2.  Velocity profile of Classical model with variation of $ M $ and $ \beta $ for $ g(t)=sin(t) $

Figure 3.  Atangana-Baleanu velocity profile for $ g(t)=sin(t) $ with variation of $ M $ and $ \beta $

Figure 4.  Caputo-Fabrizio velocity profile for $ g(t)=sin(t) $ with variation of $ M $ and $ \beta $

Figure 5.  Velocity profile of Classical model with variation of $ M $ and $ \beta $ for $ g(t)=H(t) $

Figure 6.  Atangana-Baleanu velocity profile for $ g(t)=H(t) $ with variation of $ M $ and $ \beta $

Figure 7.  Caputo-Fabrizio velocity profile for $ g(t)=H(t) $ with variation of $ M $ and $ \beta $

Figure 8.  Velocity profile of Classical model with variation of $ M $ and $ \beta $ for $ g(t)=t $

Figure 9.  Atangana-Baleanu velocity profile for $ g(t)=t $ with variation of $ M $ and $ \beta $

Figure 10.  Caputo-Fabrizio velocity profile for $ g(t)=t $ with variation of $ M $ and $ \beta $

Figure 11.  Velocity profile of Classical model for $ \lambda $ variation with $ g(t)=sin(t) $

Figure 12.  Velocity profile of Atangana-Baleanu for $ \lambda $ variation with $ g(t)=sin(t) $

Figure 13.  Velocity profile of Caputo-Fabrizio for $ \lambda $ with $ g(t)=sin(t) $

Figure 14.  Velocity profile of Classical model for $ \lambda $ variation with $ g(t)=H(t) $

Figure 15.  Velocity profile of Atangana-Baleanu for $ \lambda $ variation with $ g(t)=H(t) $

Figure 16.  Velocity profile of Caputo-Fabrizio for $ \lambda $ with $ g(t)=H(t) $

Figure 17.  Velocity profile of Classical model for $ \lambda $ variation with $ g(t)=t $

Figure 18.  Velocity profile of Atangana-Baleanu for $ \lambda $ variation with $ g(t)=t $

Figure 19.  Velocity profile of Caputo-Fabrizio for $ \lambda $ with $ g(t)=t $

Figure 20.  Integer order velocity profile for $ \lambda_{r} $ variation with $ g(t)=sin(t) $

Figure 21.  Atangana-Baleanu velocity profile for $ \lambda_{r} $ variation with $ g(t)=sin(t) $

Figure 22.  Caputo-Fabrizio velocity profile for $ \lambda_{r} $ variation with $ g(t)=sin(t) $

Figure 23.  Integer order velocity profile for $ \lambda_{r} $ variation with $ g(t)=H(t) $

Figure 24.  Atangana-Baleanu velocity profile for $ \lambda_{r} $ variation with $ g(t)=H(t) $

Figure 25.  Caputo-Fabrizio velocity profile for $ \lambda_{r} $ variation with $ g(t)=H(t) $

Figure 26.  Integer order velocity profile for $ \lambda_{r} $ variation with $ g(t)=t $

Figure 27.  Atangana-Baleanu velocity profile for $ \lambda_{r} $ variation with $ g(t)=t $

Figure 28.  Caputo-Fabrizio velocity profile for $ \lambda_{r} $ variation with $ g(t)=t $

Figure 29.  Atangana-Baleanu velocity profile with $ \alpha $ variation for $ g(t)=sin(t) $

Figure 30.  Caputo-Fabrizio velocity profile with $ \alpha $ variation for $ g(t)=sin(t) $

Figure 31.  Atangana-Baleanu velocity profile with $ \alpha $ variation for $ g(t)=H(t) $

Figure 32.  Caputo-Fabrizio velocity profile with $ \alpha $ variation for $ g(t)=H(t) $

Figure 33.  Atangana-Baleanu velocity profile with $ \alpha $ variation for $ g(t)=t $

Figure 34.  Caputo-Fabrizio velocity profile with $ \alpha $ variation for $ g(t)=t $