[1] Aboodh, K.S., Farah, R.A., Almardy, I.A., Mostafa, F.A. (2017). Solution of Telegraph by using double Aboodh transform, Elixir. Appl. Math., 110, 48313-48317. 1
[2] Agarwal, P., Jain, S. Choi, J. (2017). Certain q-series identities. RACSAM 111, 139-146. 1
[3] Agarwal, P., Dragomir, S.S., Park, J. et al.(2015). q-Integral inequalities associated with some fractional q-integral operators. J Inequal Appl 2015, 345 . 1
[4] Andrews, L.C., Phillips, R.L., (2003). Mathematical Techniques for Engineers and Scientists. SPIE Publications. 1
[5] Alidema, A.F., Makolli, S.V., (2022). On the q-Sumudu transform with two variables and some properties, J. Math. Computer Sci., 25, 167-175. 2, 2
[6] Alp, N., Sarikaya, M.Z. (2023). q-Laplace transform on quantum integral, Kra. J. Math., 47(1), 153164. 4
[7] Ali, Khalid., Mohamed, M., Alharbi, W.G., Maneea, M. (2024). Innovative analysis to the time-fractional q-deformed tanh-Gordon equation via modified double Laplace transform method. Open Physics 22, 20240094.1
[8] Berstein, D.L. (1939). The double Laplace integral. Dissertation, Brown University. 1
[9] Brahim, K., Riahi, L, (2018) Two Dimensional Mellin Transform in Quantum Calculus, Acta. Math. Sci., 32B(2), 546-560. 2, 2
[10] Bohner, M., Guseinov, G. (2010). The h-Laplace and q- Laplace transforms. J. Math. Anal. Appl., 365, 75-92. 4
[11] Choi, J., Agarwal, P. and Jain, S. (2015). Certain fractional integral operators and extended generalized Gauss hypergeometric functions, Kyungpook Mathematical Journal, 55(3), 695–703. 1
[12] Chung, W.S., Kim, T., Kwon, H.I. (2014). On the q-Analogue of the Laplace Transform, Russ. J. Math. Phys., 21, 156-168. 1, 2, 2
[13] Deakin, M.A.B. (1981). The Development of the Laplace Transform. Arch. Hist. Exact. Sci., 25(4), 343-390. 1
[14] Debnath, L. (2016). The double Laplace transforms and their troperties with appli- cations to functional, integral and partial differential equations. Int. J. Appl. Comput. Math., 2, 223-241. 1
[15] Debnath, L., Bhatta, D. (2015). Integral Transform and their Applications, CRC Press, London. 1
[16] Donachali, A.K., Jafari, H. (2020). A decomposition method for solving quaternion differential equations, Int. J. Appl. Comp. Math., 107, 1-7. 1
[17] Ata, E., Kymaz, O., Agarwal, P., Jain, S.(2024). Chapter 7 - A study on the properties of new generalized special functions, their integral transformations, and applications to fractional differential equations, In Advanced Studies in Complex Systems, Fractional Differential Equations, Academic Press, 95-114. 1
[18] Ganie, J.A., Jain, R. (2020). On a System of q-Laplace transform of two variables with applications, J. Comp. Appl. Math., 366, 112407. 2, 2
[19] Huang, C.X., Yang, Z.C., Yi, T.S., Zou, X.F. (2014). On the Basins of Attraction for a Class of Delay Differential Equations with Non-monotone Bistable Nonlinearities, J. Diff. Equ., 256(7), 2101-2114. 1
[20] Jafari, H., Manjarekar, S. (2024). A new concept of q-calculus with respect to another function. J. Innov. Appl. Math. Comput. Sci., 4(2), 113-121. 2, 2
[21] Jafari, H., Haghbin, A., Johnston, S.J., Baleanu,D. (2017). A new algorithm for solving dynamic equations on a time scale. J. Compu. Appl. Math., 312, 167-173. 1
[22] Jackson, F.H. (1910). On a q-definite integral, Quart. J. Aappl. Math., 41, 193-203. 1, 2
[23] Jain, S., Agarwal, R.P., Agarwal, P. and Singh, P.(2021). Certain Unified Integrals Involving a Multivariate Mitta gLeffler Function, Axioms, 10(2) 81. 1
[24] Jain, S., Agarwal, P., Ahmad, B. and Al-Omari,S.K.Q. (2016). Certain recent fractional integral inequalities associated with the hypergeometric operators, Journal of King Saud University - Science, 28(1) 82–86, 1
[25] Jain, S. and Agarwal, P. (2015). A new class of integral relations involving a general class of polynomials and I-functions, Walailak Journal of Science and Technology, 12(11) 1009–1018. 1
[26] Jain, S., Goyal, R., Agarwal, P., Momani, S. (2023). Certain saigo type fractional integral inequalities and their q-analogues. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 13(1), 19.1
[27] Jirakulchaiwong, S., Nonlaopon, K., Tariboon, J., Ntouyas, S.K., Kim, H. (2021). On (p,q)-Analogues of Laplace-Typed Integral Transforms and Applications, Symmetry, 13, 1-21. 1, 2
[28] Kac, V.G., Cheung, P. (2002). Quantum Calculus. Springer, New-York. 2, 2
[29] Kilicman, A., Omran, M. (2017). On double natural transform and its applications. J. Nonlinear Sci. Appl. 10, 1744 1754. 1
[30] Kilicman, A., Sinha, A., Panda, S. (2022). On a system of q-modified Laplace transform and its applications. M.M.A., 45(2), 793-808. 2, 2
[31] Mansour, E.A., Mehdi, S., Kuffi, E.A. (2021). The new integral transform and its applications, Int. J. Nonlinear Anal. Appl., 12(2), 849-856. 1
[32] Mumtaz, R., Khan, S. (2019). A determinant to q-Bessel polynomials and applications, RACSAM 113, 1571-1583.1, 2
[33] Mangontarum, M. (2014). On a q-Analogue of the Elzaki Transform Called Mangontarum q-Transform. Discraete dynamics in nature and society 2014, Article ID 825618. 1
[34] Piejko, K., Sokol, J., Wieclaw, K.T. (2019). On q-Calculus and starike functions. Iran. Sci. Technol. Trans. Sci. 43, 2879-2883. 1, 2, 2
[35] Rainville, E.D. (1960). Special Functions. Macmillan, New-york. 1, 2
[36] Sadjang, P.N. (2019). On double q-Laplace transform and applications. arXiv:1905.00717. 1, 2, 4
[37] Saadeh, R., Qazza, A., Burqan, A. (2020). A New Integral Transform: ARA Transform and Its Properties and Applications, Symmetry, 2020, 1-19 (2020). 1
[38] Sedeeg, AKH. (2016). The New Integral Transform Kamal Transform. Adv. Theo. Appl. Math. 11(4), 451-458. 1
[39] A Sole, A.D., Kac, V. (2005). On Integral Representation of q-Gamma and q-Beta functions", Rend. Math. Linecei., 9, 11-29. 2
[40] Srivastava, H.M., Luo, M., Raina, R.K. (2015). A new integral transform and its applications, Acta Mathe. Scie., 35(6), 1386-1400. 1, 2
[41] Tan, Y.X., Huang, C.X., Sun, B., Wang, T. (2018). Dynamics of a class of delayed reactiondiffusion systems with Neumann boundary condition, J. Math. Anal. Appl., 458(2), 1115-1130. 1, 2
[42] Uçar, F. (2014). q- Sumudu transforms of q-analogues of bessel functions. The Sci. World J. 2014, Article ID 327019, 1-7. 2
[43] Vijaya, K., Bulboaca, T., Murugusundaramoorthy, G. (2023). Quantum Calculus and its developments in geometric function theory. 4
[44] Yilmazer, C.Y., Yilmaz, E., Goktas, S., ET, M. (2023). Multiplicative Laplace transform in q-calculus. Filomat. 37, 5859-5872. 4
