[1] A. Aral, V. Gupta, R.P. Agarwal, Applications of q-Calculus in Operator Theory, Springer, 2013.
[2] H.D. Azodi, M. R. Yaghouti, Bernoulli polynomials collocation for weakly singular Volterra integrodifferential equations of fractional order, Filomat, 32(10) 2018, 3623-3635.
[3] H.D. Azodi, The Fibonacci polynomials solution for Abels integral equation of the second kind, Iranian Journal of Numerical Analysis and Optimization, 10(1) 2020, 63-79.
[4] A. Bellour, M. Bousselsal, A Taylor collocation method for solving delay integral equations. Numerical Algorithms, 65(4) 2014, 843-857.
[5] A. Bellour, M. Bousselsal, Numerical solution of delay integro‐differential equations by using Taylor collocation method. Mathematical Methods in the Applied Sciences, 37(10) 2014, 1491-1506.
[6] Y. Çenesiz, Y. Keskin, A. Kurnaz, The solution of the Bagley–Torvik equation with the generalized Taylor collocation method. Journal of the Franklin institute, 347(2) 2010, 452-466.
[7] T. Ernst, The history of q-calculus and a new method (p. 16). Sweden: Department of Mathematics, Uppsala University.
[8] A. Erzan, J.P. Eckmann, q-Analysis of fractal sets, Physical Review Letters, 78(17) 1997, 3245-3248.
[9] R. Finkelstein, E. Marcus, Transformation theory of the q-oscillator, Journal of Mathematical Physics, 36 1995, 2652-2672.
[10] M. Gülsu, M. Sezer, Taylor collocation method for solution of systems of high-order linear Fredholm–Volterra integro-differential equations. International Journal of Computer Mathematics, 83(4) 2006, 429-448.
[11] H. Jafari, S.J. Johnston, S.M. Sani, D. Baleanu, A Decomposition method for solving q-difference equations, Applied Mathematics and Information Sciences, 9(6) 2015, 2917-2920.
[12] S.C. Jing, H.Y. Fan, q-Taylor's formula with its q-remainder, Communications in Theoretical Physics, 23(1) 1995, 117-120.
[13] V. Kac, P. Cheung, Quantum Calculus, Springer, 2002.
[14] A. Karamete, M. Sezer, A Taylor collocation method for the solution of linear integrodifferential equations, International Journal of Computer Mathematics, 79(9) 2002, 987-1000.
[15] E. Koelink, 8 Lectures on quantum groups and q-special functions. arXiv preprint q-alg/9608018, 1996.
[16] E. Koekoek, R.F. Swarttow, Askey-Scheme of hypergeometric orthogonal polynomials and its q-analogue, Delft University of Technology, 1998.
[17] T.H. Koomwinder, R.F. Swarttow, On q-analogues of the Fourier and Hankel transforms, Transactions of the American Mathematical Society, 333(1) 1992, 445-461.
[18] M.J. Mardanov, Existence and uniqueness results for q-difference equations with two-point boundary conditions, AIP Conference Proceedings, 1676 2015, 1-5.
[19] M.S. Semary, N.H. Hassan, The homotopy analysis method for q-difference equations, Ain Shams Engineering Journal, 9(3) 2018, 415-421.
[20] M. Sezer, M. Gülsu, B. Tanay, A Taylor collocation method for the numerical solution of complex differential equations with mixed conditions in elliptic domains, Applied Mathematics and Computation,182(1) 2006, 498-508.
[21] C. Stover, q-Calculus, MathWorld{A Wolfram Web Resource, created by Eric W. Weisstein, http://mathworld.wolfram.com/q-Calculus.html
[22] C. Tsallis, F. Baldovin, R. Cerbino, P. Pierobon, Introduction to nonextensive statistical mechanics and thermodynamics, Proceedings of the International School of Physics `Enrico Fermi', 155 2003, 229-252.
[23] V.A. Vijesh, L.A. Sunny, K.H. Kumar, Legendre wavelet quasilinearization technique for solving q-difference equations, Journal of Difference Equations and Applications, 22(4) 2015, 594-606.
)
