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首页> 外文期刊>Discrete and Continuous Dynamical Systems,Series S >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
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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

机译：整数，Caputo-Fabrizio（CF）和ATANGANA-BALEANU（ABC）分数衍生的综合分析，用于MHD OLDROYD-B流体，具有滑动效果和时间依赖性边界条件

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This article is focused on the slip effect in the unsteady ow ofMHD Oldroyd-B uid over a moving vertical plate with velocity U_of(t). TheLaplace transformation and inversion algorithm are used to evaluate the ex-pression for uid velocity and shear stress. Fractional time derivatives areused to analyze the impact of fractional parameters (memory effect) on thedynamics of the uid. While making a comparison, it is observed that thefractional-order model is best to explain the memory effect as compared to theclassical model. The behavior of slip condition as well as no-slip condition isdiscussed with all physical quantities. The inuence of dimensionless physicalparameters like magnetic force M, retardation time λ_r, fractional parameterff, and relaxation time λ on uid velocity has been discussed through graphicalillustration. Our results suggest that the velocity field decreases by increas-ing the value of the magnetic field. In the absence of a slip parameter, thestrength of the magnetic field is maximum. Furthermore, it is noted that theAtangana-Baleanu derivative in Caputo sense (ABC) is the best to highlightthe dynamics of the uid.
机译：本文专注于不稳定的防滑效果欠MHD Oldroyd-BUID通过移动垂直板，速度U_OF（t）。这LAPLACE变换和反演算法用于评估前压力UID速度和剪切应力。分数衍生物是用于分析分数参数（记忆效应）的影响动态的动态UID。在进行比较的同时，观察到分数阶模型最好解释与之相比的记忆效果古典模型。滑动条件的行为以及无滑移条件是讨论了所有物理量。 in.无量纲的物理参数，如磁力M，延迟时间λ_R，分数参数FF，放松时间λ通过图形讨论了UID速度插图。我们的结果表明，速度场因增加而减小 - 磁场的值。在没有滑动参数的情况下磁场的强度最大。此外，注意到了Caputo Sense（ABC）的Atangana-Balanu衍生物是最好的亮点动态的UID。

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