On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium

Fractional differential equation models are important and useful in a number of fields such as blood flow phenomena, earthquake, rheology, electrodynamics of a complex medium, aerodynamics, viscoelasticity, and optics and signal processing, and so on [10, 21, 23, 28, 38, 47]. With the development of fractional differential equation models in theory and practice, the subject has acquired great achievements. For some recent works on the subject, readers can see [4–9,12,13,15,19,25,27,29,31,33,36,37,40–42,44–46] and the references therein.