Muhammad Saqib1, Hanifa Hanif1, 2, T. Abdeljawad3, 4, 5, Ilyas Khan6, *, Sharidan Shafie1, Kottakkaran Sooppy Nisar7
CMC-Computers, Materials & Continua, Vol.65, No.3, pp. 1959-1973, 2020, DOI:10.32604/cmc.2020.011339
Abstract The idea of fractional derivatives is applied to several problems of viscoelastic
fluid. However, most of these problems (fluid problems), were studied analytically using
different integral transform techniques, as most of these problems are linear. The idea of
the above fractional derivatives is rarely applied to fluid problems governed by nonlinear
partial differential equations. Most importantly, in the nonlinear problems, either the
fractional models are developed by artificial replacement of the classical derivatives with
fractional derivatives or simple classical problems (without developing the fractional
model even using artificial replacement) are solved. These problems were mostly solved
for steady-state fluid problems.… More >
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