1. S. Lie, Vorlesungen über continuierliche Gruppen
mit geometrischen und anderen Anwendungen,
edited by G. Scheffers, B. G. Teubner, Leipzig,
1893.
2. N. H. Ibragimov (ed.), CRC Handbook of Lie
Group Analysis of Differential Equations, Vol. 1:
Symmetries, Exact Solutions, and Conservation
Laws, CRC Press, Boca Raton, 1993. DOI:
10.1201/9781003419808.
3. N. H. Ibragimov (ed.), CRC Handbook of Lie Group
Analysis of Differential Equations, Vol. 2: Applications
in Engineering and Physical Sciences, CRC
Press, Boca Raton, 1995.
4. N. H. Ibragimov (ed.), CRC Handbook of Lie Group
Analysis of Differential Equations, Vol. 3: New
Trends in Theoretical Developments and Computational
Methods, CRC Press, Boca Raton, 1996.
DOI: 10.1201/9781003575221.
5. G. W. Bluman and S. Kumei, Symmetries and
Differential Equations, Springer-Verlag, New York,
1989. DOI: 10.1007/978-1-4757-4307-4.
6. P. J. Olver, Applications of Lie Groups to Differential
Equations, Springer-Verlag, New York, 1986.
DOI: 10.1007/978-1-4684-0274-2.
7. H. Stephani, Differential Equations: Their
Solution Using Symmetries, Cambridge
University Press, Cambridge, 1989. DOI:
10.1017/CBO9780511599941.
8. G. Baumann, Symmetry Analysis of Differential
Equations with Mathematica, Springer-Verlag, New
York, 2000. DOI: 10.1007/978-1-4612-2110-4.
9. M. Pakdemirli, Solutions of Differential Equations
by Symmetry Methods, Deep Science, New Delhi,
2026.
10. B. D. Coleman and W. Noll, An approximation
theorem for functionals, with applications in
continuum mechanics, Archive for Rational Mechanics
and Analysis 6 (1960), 355–370. DOI:
10.1007/BF00276168.
11. J. E. Dunn and R. L. Fosdick, Thermodynamics,
stability, and boundedness of fluids of complexity 2
and fluids of second grade, Archive for Rational Mechanics
and Analysis 56(3) (1974), 191–252. DOI:
10.1007/BF00280970.
12. K. R. Rajagopal, A. S. Gupta, and A. S. Wineman,
On a boundary layer theory for non-Newtonian
fluids, International Journal of Engineering Science
18(6) (1980), 875–883. DOI: 10.1016/0020-
7225(80)90035-X.
13. M. Pakdemirli and E. S. Şuhubi, Boundary layer
theory for second order fluids, International Journal
of Engineering Science 30(4) (1992), 523–532.
DOI: 10.1016/0020-7225(92)90042-F.
14. S. Kaplun, The role of coordinate systems in
boundary-layer theory, Journal of Applied Mathe
matics and Physics ZAMP 5(2) (1954), 111–135.
DOI: 10.1007/BF01600771.
15. M. Pakdemirli and E. S. Şuhubi, Similarity solutions
of boundary layer equations for second order
fluids, International Journal of Engineering Science
30(5) (1992), 611–629. DOI: 10.1016/0020-
7225(92)90006-3.
16. M. Pakdemirli, The boundary layer equations of
third-grade fluids, International Journal of Non-
Linear Mechanics 27(5) (1992), 785–793. DOI:
10.1016/0020-7462(92)90034-5.
17. M. Yürüsoy, Similarity solutions to boundary layer
equations for third-grade non-Newtonian fluid in
special coordinate system, Journal of Theoretical
and Applied Mechanics 41(4) (2003), 775–787.
18. M. Pakdemirli, Boundary layer flow of power-law
fluids past arbitrary profiles, IMA Journal of Applied
Mathematics 50(2) (1993), 133–148. DOI:
10.1093/imamat/50.2.133.
19. D. W. Beard and K. Walters, Elastico-viscous
boundary-layer flows I. Two-dimensional flow near
a stagnation point, Mathematical Proceedings of
the Cambridge Philosophical Society 60(3) (1964),
667–674. DOI: 10.1017/S0305004100038147.
20. A. H. Nayfeh, Introduction to Perturbation Techniques,
John Wiley & Sons, New York, 1981.
21. M. Pakdemirli and İ. T. Dolapci, New Trends
in Perturbation Methods with Applications, Cambridge
Scholars Publishing, Newcastle upon Tyne,
2026.
22. V. K. Garg and K. R. Rajagopal, Flow of
a non-Newtonian fluid past a wedge, Acta
Mechanica 88(1–2) (1991), 113–123. DOI:
10.1007/BF01170596.
23. P. D. Ariel, On extra boundary condition in
the stagnation point flow of a second grade
fluid, International Journal of Engineering Science
40(2) (2002), 145–162. DOI: 10.1016/S0020-
7225(01)00031-3.
24. Z. Abbas, A. Gull, G. Nazik, M. Y. Rafiq, and
M. Mujahid, Investigation of oscillatory secondgrade
fluid flow through porous media under slip
and thermal influences, Physics Open 26 (2026),
100363. DOI: 10.1016/j.physo.2025.100363.
25. D. Dey and R. Borah, MHD nanofluid flow with
energy transfer over a porous stretching surface by
using a second-grade fluid model, Numerical Heat
Transfer, Part A: Applications 86(5) (2025), 1313–
1327. DOI: 10.1080/10407782.2023.2278715.
26. S. C. Reddy, K. K. Asogwa, M. F. Yassen, Adnan,
Z. Iqbal, S. M-Eldin, B. Ali, and Swarnalatha KM,
Dynamics of MHD second-grade nanofluid flow
with activation energy across a curved stretching
surface, Frontiers in Energy Research 10 (2022),
1007159. DOI: 10.3389/fenrg.2022.1007159.
27. K. Hosseinzadeh, M. R. Mardani, M. Paikar,
A. Hasibi, T. Tavangar, M. Nimafar, and
M. B. Shafii, Investigation of second grade viscoelastic
non-Newtonian nanofluid flow on the
curve stretching surface in presence of MHD,
Results in Engineering 17 (2023), 100838. DOI:
10.1016/j.rineng.2022.100838.
28. S. Nadeem, A. Rehman, C. Lee, and J. Lee,
Boundary layer flow of second grade fluid in a
cylinder with heat transfer, Mathematical Problems
in Engineering 2012(1) (2012), 640289. DOI:
10.1155/2012/640289.
29. M. Sajid, I. Ahmad, T. Hayat, and M. Ayub, Unsteady
flow and heat transfer of a second grade
fluid over a stretching sheet, Communications in
Nonlinear Science and Numerical Simulation 14(1)
(2009), 96–108. DOI: 10.1016/j.cnsns.2007.07.014.
30. S. T. Saeed, M. B. Riaz, D. Baleanu, A. Akgül, and
S. M. Husnine, Exact analysis of second grade fluid
with generalized boundary conditions, Intelligent
Automation & Soft Computing 28(2) (2021), 547–
559. DOI: 10.32604/iasc.2021.015982.
31. K. Sadeghy and M. Sharifi, Local similarity solution
for the flow of a “second-grade” viscoelastic
fluid above a moving plate, International Journal
of Non-Linear Mechanics 39(8) (2004), 1265–1273.
DOI: 10.1016/j.ijnonlinmec.2003.08.005.
32. K. Vajravelu and T. Roper, Flow and heat transfer
in a second grade fluid over a stretching sheet,
International Journal of Non-Linear Mechanics
34(6) (1999), 1031–1036. DOI: 10.1016/S0020-
7462(98)00073-0.
33. Y. Aksoy, M. Pakdemirli, and C. M. Khalique,
Boundary layer equations and stretching
sheet solutions for the modified second grade
fluid, International Journal of Engineering
Science 45(10) (2007), 829–841. DOI:
10.1016/j.ijengsci.2007.05.006.
34. M. Pakdemirli, Y. Aksoy, M. Yürüsoy, and
C. M. Khalique, Symmetries of boundary layer
equations of power-law fluids of second grade,
Acta Mechanica Sinica 24(6) (2008), 661–670. DOI:
10.1007/s10409-008-0172-z.
35. A. Keçebaş and M. Yürüsoy, Numerical solutions
of unsteady boundary layer equations for a generalized
second grade fluid, Journal of Theoretical
and Applied Mechanics 49(1) (2011), 71–82.
36. M. Yürüsoy and M. Pakdemirli, Exact solutions
of boundary layer equations of a special non-
Newtonian fluid over a stretching sheet, Mechanics
Research Communications 26(2) (1999), 171–175.
DOI: 10.1016/S0093-6413(99)00009-9.
37. R. S. Chowdhury, G. M. Sarkar, B. Sahoo, and
B. Diyali, Statistical and numerical analysis of
the flow of a special third grade fluid driven
by a shrinking surface, European Journal of Mechanics
– B/Fluids 113 (2025), 204275. DOI:
10.1016/j.euromechflu.2025.204275.
38. M. Pakdemirli, Conventional and multiple deck
boundary layer approach to second and third grade
fluids, International Journal of Engineering Science
32(1) (1994), 141–154. DOI: 10.1016/0020-
7225(94)90156-2.
39. W. C. Troy, E. A. Overman, G. B. Ermentrout,
and J. P. Keener, Uniqueness of flow of a secondorder
fluid past a stretching sheet, Quarterly of
Applied Mathematics 44(4) (1987), 753–755. DOI:
10.1090/qam/872826.
40. S. Swain, G. M. Sarkar, and B. Sahoo, Dual solutions
and linear temporal stability analysis of
mixed convection flow of non-Newtonian special
third grade fluid with thermal radiation, International
Journal of Thermal Sciences 189 (2023),
108262. DOI: 10.1016/j.ijthermalsci.2023.108262.
41. M. Pakdemirli and H. Boyacı, Generation of
root finding algorithms via perturbation theory
and some formulas, Applied Mathematics
and Computation 184 (2007), 783–788. DOI:
10.1016/j.amc.2006.05.207.