___

• Miller, K. S., Ross, B. 1993. An introduction to the fractional calculus and fractional differential equations, Wiley, New York, 376 p.
• Podlubny, I. 1999. Fractional differential equations, mathematics in science and engineering, Academic Press, New York, 365 p.
• Baleanu, D., Diethelm, K., Scalas, E., Trujillo, J. J. 2012. Fractional calculus: models and numerical methods, World Scientific, London, 476 p.
• Povstenko, Y. 2015. Linear fractional diffusion-wave equation for scientists and engineers. Birkhäuser, Switzerland, 460 p.
• Ala, V. 2022. New exact solutions of space-time fractional Schrödinger-Hirota equation. Bulletin of the Karaganda university Mathematics series, 107(3), 17-24.
• Ala, V. 2023. Exact Solutions of Nonlinear Time Fractional Schrödinger Equation with Beta- Derivative. Fundamentals of Contemporary Mathematical Sciences, 4(1), 1-8.
• Baleanu, D., Wu, G. C., Zeng, S. D. 2017. Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations. Chaos, Solitons & Fractals, 102, 99-105.
• Sweilam, N. H., Abou Hasan, M. M., Baleanu, D. 2017. New studies for general fractional financial models of awareness and trial advertising decisions. Chaos, Solitons & Fractals, 104, 772-784.
• Liu, D. Y., Gibaru, O., Perruquetti, W., Laleg-Kirati, T. M. 2015. Fractional order differentiation by integration and error analysis in noisy environment. IEEE Transactions on Automatic Control, 60(11), 2945-2960.
• Esen, A., Sulaiman, T. A., Bulut, H., Baskonus, H. M. 2018. Optical solitons to the space-time fractional (1+1)-dimensional coupled nonlinear Schrödinger equation. Optik, 167, 150-156.
• Veeresha, P., Prakasha, D. G., Baskonus, H. M. 2019. Novel simulations to the time-fractional Fisher’s equation. Mathematical Sciences, 13(1), 33-42.
• Veeresha, P., Prakasha, D. G., Baskonus, H. M. 2019. New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(1), 013119. https://doi.org/10.1063/1.5074099.
• Caponetto, R., Dongola, G., Fortuna, L., Gallo, A. 2010. New results on the synthesis of FO-PID controllers. Communications in Nonlinear Science and Numerical Simulation, 15(4), 997-1007.
• Mahgoub, M. A., & Mohand, M. (2019). The new integral transform “Sawi Transform”. Advances in Theoretical and Applied Mathematics, 14(1), 81-87.
• Singh, G. P., & Aggarwal, S. (2019). Sawi transform for population growth and decay problems. International Journal of Latest Technology in Engineering, Management & Applied Science, 8(8), 157-162.
• Higazy, M., Aggarwal, S., & Nofal, T. A. (2020). Sawi decomposition method for Volterra integral equation with application. Journal of Mathematics, 2020, 1-13.
• Higazy, M., Aggarwal, S. (2021). Sawi transformation for system of ordinary differential equations with application. Ain Shams Engineering Journal, 12(3), 3173-3182.
• Georgieva, A. T., & Pavlova, A. (2023). Application of the Double Fuzzy Sawi Transform for Solving a Telegraph Equation. Symmetry, 15(4), 854.
• Gibbs, R. G. (1980). Traveling waves in the Belousov–Zhabotinskii reaction. SIAM Journal on Applied Mathematics, 38(3), 422-444.
• Zhabotinsky Anatol M (2007) Scholarpedia 2(9):1435. https://doi.org/10.4249/scholarpedia
• Ray, S. S., & Bera, R. K. (2006). Analytical solution of a fractional diffusion equation by Adomian decomposition method. Applied Mathematics and Computation, 174(1), 329-336.
• Adomian, G. (1994). Solving frontier problems of physics: the decomposition method, Springer. Dordrecht.
• Wazwaz, A. M., & Gorguis, A. (2004). An analytic study of Fisher's equation by using Adomian decomposition method. Applied Mathematics and Computation, 154(3), 609-620.
• Das, S. (2009). Analytical solution of a fractional diffusion equation by variational iteration method. Computers & Mathematics with Applications, 57(3), 483-487.
• Liao, S. J. (1995). An approximate solution technique not depending on small parameters: a special example. International Journal of Non-Linear Mechanics, 30(3), 371-380.
• Shijun, L. (1998). Homotopy analysis method: a new analytic method for nonlinear problems. Applied Mathematics and Mechanics, 19, 957-962.
• Liao, S. (2004). On the homotopy analysis method for nonlinear problems. Applied mathematics and computation, 147(2), 499-513.
• Alkan, A. (2022). Improving homotopy analysis method with an optimal parameter for time-fractional Burgers equation. Karamanoğlu Mehmetbey Üniversitesi Mühendislik ve Doğa Bilimleri Dergisi, 4(2), 117-134.
• Arikoglu, A., & Ozkol, I. (2007). Solution of fractional differential equations by using differential transform method. Chaos, Solitons & Fractals, 34(5), 1473-1481.
• Merdan, M., Anaç, H., BEKİRYAZICI, Z., & Kesemen, T. (2019). Solving of Some Random Partial Differential Equations by Using Differential Transformation Method and Laplace-Padé Method. Gümüshane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 9(1).
• He, J. H. (1998). Approximate analytical solution for seepage flow with fractional derivatives in porous media. Computer Methods in Applied Mechanics and Engineering, 167(1-2), 57-68.
• He, J. H. (1999). Homotopy perturbation technique. Computer methods in applied mechanics and engineering, 178(3-4), 257-262.
• He, J. H. (2003). Homotopy perturbation method: a new nonlinear analytical technique. Applied and Mathematics Computation, 135(1), 73-79.
• Alquran, M., Al-Khaled, K., & Chattopadhyay, J. (2015). Analytical solutions of fractional population diffusion model: residual power series. Nonlinear Stud, 22(1), 31-39.
• Kurt, A., Rezazadeh, H., Senol, M., Neirameh, A., Tasbozan, O., Eslami, M., & Mirzazadeh, M. (2019). Two effective approaches for solving fractional generalized Hirota-Satsuma coupled KdV system arising in interaction of long waves. Journal of Ocean Engineering and Science, 4(1), 24-32.
• Şenol, M., Iyiola, O. S., Daei Kasmaei, H., & Akinyemi, L. (2019). Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential. Advances in Difference Equations, 2019(1), 1-21.
• Khuri, S. A. (2001). A Laplace decomposition algorithm applied to a class of nonlinear differential equations. Journal of applied mathematics, 1, 141-155.
• Akinyemi L (2019) q-Homotopy analysis method for solving the seventh-order time-fractional Lax’s Korteweg–de Vries and Sawada–Kotera equations. Comput Appl Math 38(4):1–22.
• Akinyemi L, Iyiola OS, Akpan U (2020) Iterative methods for solving fourth- and sixth order time-fractional Cahn–Hillard equation. Math Methods Appl Sci 43(7):4050–4074.
• El-Tawil, M. A., & Huseen, S. N. (2012). The q-homotopy analysis method (q-HAM). Int. J. Appl. Math. Mech, 8(15), 51-75.
• El-Tawil, M. A., & Huseen, S. N. (2013). On convergence of the q-homotopy analysis method. Int. J. Contemp. Math. Sci, 8(10), 481-497.
• Iyiola, O. S., Soh, M. E., & Enyi, C. D. (2013). Generalised homotopy analysis method (q-HAM) for solving foam drainage equation of time fractional type. Mathematics in Engineering, Science & Aerospace (MESA), 4(4).
• Iyiola, O. S. (2015). On the solutions of non-linear time-fractional gas dynamic equations: an analytical approach. Int. J. Pure Appl. Math, 98(4), 491-502.
• Iyiola, O. S. (2016). Exact and approximate solutions of fractional diffusion equations with fractional reaction terms. Progress in Fractional Differentiation and Applications, 2(1), 19-30.
• Akinyemi, L. (2020). A fractional analysis of Noyes–Field model for the nonlinear Belousov–Zhabotinsky reaction. Computational and Applied Mathematics, 39(3), 175.
• Anaç, H. (2022). Conformable Fractional Elzaki Decomposition Method of Conformable Fractional Space-Time Fractional Telegraph Equations. Ikonion Journal of Mathematics, 4(2), 42-55.
• Kartal, A., Anaç, H., Olgun, A. (2023). Numerical Solution of Conformable Time Fractional Generalized Burgers Equation with Proportional Delay by New Methods. Karadeniz Fen Bilimleri Dergisi, 13(2), 310-335.
• Erol, A. S., Anaç, H., Olgun, A. (2023). Numerical Solutions of Conformable Time-Fractional Swift-Hohenberg Equation with Proportional Delay by the Novel Methods. Karamanoğlu Mehmetbey Üniversitesi Mühendislik ve Doğa Bilimleri Dergisi, 5(1), 1-24.
• Khalil, R., Al Horani, M., Yousef, A., Sababheh, M. 2014. A new definition of fractional derivative. Journal of computational and applied mathematics, 264, 65-70.
• Abdeljawad, T. 2015. On conformable fractional calculus. Journal of computational and Applied Mathematics, 279, 57-66.
• Ala, V., Demirbilek, U., Mamedov, K. R. 2020. An application of improved Bernoulli sub-equation function method to the nonlinear conformable time-fractional SRLW equation. AIMS Mathematics, 5(4), 3751-3761.
• Gözütok, U., Çoban, H., Sağıroğlu, Y. 2019. Frenet frame with respect to conformable derivative. Filomat, 33(6), 1541-1550.