[1] Tan, W., Masuoka, T., Stokes’ first problem for a second grade fluid in a porous half-space with heated boundary, International Journal of Non-Linear Mechanics, 40(4), 2005, 515 – 522.
[2] Aldoss, T.K., Al-Nimr, M.A., Jarrah, M.A., Al-Shaer, B., Magnetohydrodynamics mixed convection from a vertical plate embedded in a porous medium, Numerical Heat Transfer Applications, 28(5), 1995, 635 – 645.
[3] Rashidi, S., Nouri-Borujerdi, A., Valipour, M.S., Ellahi, R., Pop, I., Stress-jump and continuity interface conditions for a cylinder embedded in porous medium, Transport in Porous Media, 107(1), 2015, 171 – 186.
[4] Imran, M.A., Imran, M., Fetecau, C., MHD oscillating flows of rotating second grade fluid in a porous medium, Communications in Nonlinear Science and Numerical Simulation, 2014, 1 – 12.
[5] Khan, I., Farhad, A., Norzieha, M., Exact solutions for accelerated flows of a rotating second grade fluid in a porous medium, World Applied Sciences Journal, 9, 2010, 55 – 68.
[6] Riaz, M.B., Zafar, A.A., Vieru, D., On flows of generalized second grade fluids generated by an oscillating flat plate, Secția Matematică. Mecanică Teoretică. Fizică, 1, 2015, 1 – 9.
[7] Ali, F., Khan, I., Shafie, S., Closed form solutions for unsteady free convection flow of a second grade fluid over an oscillating vertical plate, PLoS ONE, 9(2), 2014.
[8] Hussain, M., Hayat, T., Asghar, S., Fetecau, C., Oscillatory flows of second grade fluid in a porous space, Nonlinear Analysis Real World Application, 11, 2010, 2403 – 2414.
[9] Erdogan, M.E., Imrak, C.E., An exact solution of the governing equation of a fluid of second grade for three dimensional vortex flow, International Journal of Engineering Science, 43, 2005, 721 – 729.
[10] Fetecau, C., Fetecau, C., Starting solutions for some unsteady unidirectional flow of a second grade fluid, International Journal of Engineering Science, 43, 2005, 781 – 789.
[11] Asghar, S., Nadeem, S., Hanif, K., Hayat, T., Analytic solution of Stokes' second problem for second grade fluid, Mathematical Problems in Engineering, 2006, 1 – 9.
[12] Tiwari, A.K., Ravi, S.K., Analytical studies on transient rotating flow of a second grade fluid in a porous medium, Advances in Applied Mechanics, 2, 2009, 33 – 41.
[13] Fetecau, C., Fetecau, C., Starting solutions for the motion of second grade fluid, International Journal of Engineering Science, 43, 2005, 781 – 789.
[14] Khan, I., Ellahi, R., Fetecau, C., Some MHD flows of second grade fluid through the porous medium, Journal of Porous Media, 11, 2008, 389 – 400.
[15] Fetecau, C., Fetecau, C., Starting solutions for the motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder, International Journal of Engineering Science, 44, 2006, 788 – 796.
[16] Hsu, S.H., Jamieson, A.M., Viscoelastic behavior at the thermal sol-gel transition of gelatin, Polymer, 34, 1993, 2602 – 2608.
[17] Bandelli, B., Unsteady unidirectional flows of second grade fluids in domains with heated boundaries, International Journal of Non-Linear Mechanics, 30, 1995, 263 – 269.
[18] Damesh, R.A., Shatnawi, A.S., Chamkha, A.J., Duwairi, H.M., Transient mixed convection flow of second grade viscoelastic fluid over a vertical surface, Nonlinear Analysis: Modelling and Control, 13, 2008, 169 – 179.
[19] Nazar, M., Fetecau, C., Vieru, D., Fetecau, C., New exact solutions corresponding to the second problem of stokes' for second grade fluids, Nonlinear Analysis: Real World Applications, 11, 2010, 584 – 591.
[20] Ali, F., Norzieha, M., Sharidan, S., Khan, I., Hayat, T., New exact solutions of stokes' second problem for an MHD second grade fluid in a porous space, International Journal of Non-Linear Mechanics, 47, 2012, 521 – 525.
[21] Makinde, O.D., Khan, W.A., Culham, J.R., MHD variable viscosity reacting flow over a convectively heated plate in a porous medium with thermophoresis and radiative heat transfer, International Journal of Heat and Mass Transfer, 93, 2016, 595 – 604.
[22] Chandrakala, P., Bhaskar, P.N., Thermal radiation effects on MHD flow past a vertical oscillating plate, International Journal of Applied Mechanics and Engineering, 14, 2009, 349 – 358.
[23] Abro, K.A., A Fractional and Analytic Investigation of Thermo-Diffusion Process on Free Convection Flow: An Application to Surface Modification Technology, The European Physical Journal Plus, 31, 2020, 135.
[24] Saeed, S.T., Riaz, M.B., Baleanu, D., Abro, K.A., A Mathematical Study of Natural Convection Flow Through a Channel with non-singular Kernels: An Application to Transport Phenomena, Alexandria Engineering Journal, 59, 2020, 2269 – 2281.
[25] Khan, I., Saeed, S.T., Riaz, M.B., Abro, K.A., Husnine, S.M., Nissar, K.S., Influence in a Darcy’s Medium with Heat Production and Radiation on MHD Convection Flow via Modern Fractional Approach, Journal of Materials Research and Technology, 9(5), 2020, 10016 – 10030.
[26] Abro, K.A., Atangana, A., Role of Non-integer and Integer Order Differentiations on the Relaxation Phenomena of Viscoelastic Fluid, Physica Scripta, 95, 2020.
[27] Atangana, A., Baleanu, D., New fractional derivative with non local and non-singular kernel: theory and application to heat transfer model, Thermal Science, 20, 2016, 763 – 769.
[28] Abro, K.A., Atangana, A., A comparative study of convective fluid motion in rotating cavity via Atangana–Baleanu and Caputo–Fabrizio fractal–fractional differentiation, The European Physical Journal Plus, 135, 2020.
[29] Riaz, M.B., Saeed, S.T., Baleanu, D., Ghalib, M., Computational results with non-singular & non-local kernel flow of viscous fluid in vertical permeable medium with variant temperature, Frontier in Physics, 8, 2020, 275.
[30] Riaz, M.B., Saeed, S.T., Comprehensive analysis of integer order, Caputo-fabrizio and Atangana-Baleanu fractional time derivative for MHD Oldroyd-B fluid with slip effect and time dependent boundary condition, Discrete and Continuous Dynamical Systems, 2020, Accepted for Publication.
[31] Imran, M.A., Aleem, M., Riaz, M.B., Ali, R., Khan, I., A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions, Chaos, Solitons & Fractals, 118, 2018, 274 – 289.
[32] Riaz, M.B., Atangana, A., Saeed, S.T., MHD free convection flow over a vertical plate with ramped wall temperature and chemical reaction in view of non-singular kernel, Wiley, 2020, 253 – 279.
[33] Riaz, M.B., Atangana, A., Iftikhar, N., Heat and mass transfer in Maxwell fluid in view of local and non-local differential operators, Journal of Thermal Analysis and Calorimetry, 2020, doi: 10.1007/s10973-020-09383-7.
[34] Riaz, M.B., Iftikhar, N., A comparative study of heat transfer analysis of MHD Maxwell fluid in view of local and non-local differential operators, Chaos Solitons & Fractals, 132, 2020, 109556.
[35] Raza, N., Abdullah, M., Rashid, A., Awan, A.U., Haque, E., Flow of a second grade fluid with fractional derivatives due to a quadratic time dependent shear stress, Alexandria Engineering Journal, 57(3), 2018, 1963 – 1969.
[36] Tassaddiq, A., MHD flow of a fractional second grade fluid over an inclined heated plate, Chaos Solitons & Fractals, 123, 2019, 341 – 346.
[37] Sene, N., Second-grade fluid model with Caputo–Liouville generalized fractional derivative, Chaos Solitons & Fractals, 133, 2020, 109631.
[38] Haq, S., Jan, S., Jan, S.A., Khan, I., Singh, J., Heat and mass transfer of fractional second grade fluid with slippage and ramped wall temperature using Caputo-Fabrizio fractional derivative approach, AIMS Mathematics, 5(4), 2020, 3056 – 3088.
[39] Fatecau, C., Zafar, A.A., Vieru, D., Awrejcewicz, J., Hydromagnetic flow over a moving plate of second grade fluids with time fractional derivatives having non-singular kernel, Chaos Solitons & Fractals, 130, 2020, 109454.
[40] Siddique, I., Tlili, I., Bukhari, M., Mahsud, Y., Heat transfer analysis in convective flows of fractional second grade fluids with Caputo–Fabrizio and Atangana–Baleanu derivative subject to Newtonion heating, Mechanics of Time-Dependent Materials, 2019, doi: 10.1007/s11043-019-09442-z.
[41] Akgül, A., A novel method for a fractional derivative with non-local and non-singular kernel, Chaos Solitons & Fractals, 114, 2018, 478 – 482.
[42] Akgül, E.K., Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives, Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(2), 2019, 023108.
[43] Gao, W., Veeresha, P., Prakasha, D.G., Baskonus, H.M., New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques, Numerical Method of Partial Differential Equation, 2020, doi: 10.1002/num.22526.
[44] Gao, W., Veeresha, P., Prakasha, D.G., Baskonus, H.M., Yel, G., New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function, Chaos Solitons & Fractals, 134, 2020, 109696.
[45] Kumar, D., Singh, J., Baleanu, D., Sushila, Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel, Physica A: Statistical Mechanics and its Applications, 492, 2018, 155 – 167.