References:
1. Al-Ghafri, K.S. and Rezazadeh, H. "Solitons and other solutions of (3+1)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov equation", Applied Mathematics and Nonlinear Sciences, 4(2), pp. 289-304 (2019).
2. Asaduzzaman, M. and Ali, Z. "Existence of positive solution to the boundary value problems for coupled system of nonlinear fractional differential equations ", AIMS Mathematics, 4(3), pp. 880-895 (2019).
3. Benavides-Cruz, M., Calderon-Ramon, C., Gomez- Aguilar J.F., et al. "Numerical simulation of metallic nanostructures interacting with electromagnetic fields using the Lorentz-Drude model and FDTD method", International Journal of Modern Physics C, 27(04), 1650043 (2016).
4. Ding, Q. and Wong, P.J.Y. "Quintic non-polynomial spline for time-fractional nonlinear Schrdinger equation", Advances in Difference Equations, 2020(46), pp. 1-27 (2020).
5. Dubey, V.P., Kumar, R., Kumar, D., Khan, I., and Singh, J. "An efficient computational scheme for nonlinear time fractional systems of partial differential equations arising in physical sciences", Advances in Difference Equations, 2020(577), pp. 1-27 (2020).
6. Farman, M., Akgul, A., Ahmad, A., and Imtiaz, S. "Analysis and dynamical behavior of fractional-order cancer model with vaccine strategy", Mathematical Methods in the Applied Sciences, 43, pp. 4871-4882 (2020).
7. Ghanbari, B. and Gomez-Aguilar, J.F. "Optical solution solutions for the nonlinear Radhakrishnan-Kundu- Lakshmanan equation", Modern Physics Letters B, 33(32), 1950437 (2019).
8. Hosseini, K., Aligoli, M., Mirzazadeh, M., Eslami, M., and Gomez-Aguilar, J.F. "Dynamics of rational solutions in a new generalized Kadomtsev-Petviashvili equation ", Modern Physics Letters B, 33(35), 195043 (2020).
9. Kumar, D., Singh, J., Tanwar, K., and Baleanu, D. "A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws", International Journal of Heat and Mass Transfer, 138, pp. 1222- 1227 (2019).
10. Kumar, S., Ghosh, S., Kumar, R., and Jleli, M. "A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods", Numerical Methods for Partial Differential Equations, 138, pp. 1-21 (2020).
11. Mohammadi, F., Moradi, L., Baleanu, D., and Jajarmi, A. "A hybrid functions numerical scheme for fractional optimal control problems: application to non-analytic dynamical systems", Journal of Vibration and Control, 24(21), pp. 5030-5043 (2018).
12. Osman, M.S., Ali, K.K., and Gomez-Aguilar, J.F. "A variety of new optical soliton solutions related to the nonlinear Schrdinger equation with time-dependent coefficients",Optik, 222, 165389 (2020).
13. Prakash, A., Prakash, D.G., and Veeresha, P. "A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform", Nonlinear Engineering, 8, pp. 695-701 (2019).
14. Sedeeg, A.K.H., Nuruddeen, R.I., and Gomez-Aguilar, J.F. "Generalized optical soliton solutions to the (3+ 1)-dimensional resonant nonlinear Schrdinger equation with Kerr and parabolic law nonlinearities ", Optical and Quantum Electronics, 51(6), P. 173 (2019).
15. Taneco-Hernndeza, M.A., Morales-Delgadob, V.F., and Gomez-Aguilar, J.F. "Fractional Kuramoto- Sivashinsky equation with power law and stretched Mittag-Leffler kernel", Physica A: Statistical Mechanics and Its Applications, 527, 121085 (2019).
16. Thabet, H. and Kendre, S. "New modification of Adomian decomposition method for solving a system of nonlinear fractional partial differential equations", International Journal of Advances in Applied Mathematics and Mechanics, 6, pp. 1-13 (2019).
17. Sontakke, B., and Shelke, A.S. "Solution of time fractional partial differential equations by variational iteration method and applications", Asian Journal of Mathematics and Computer Research, 23(1), pp. 7-16 (2018).
18. Ali, A.H., Ahmed, A.B., and Mohamed, H. "Homotopy analysis method for solving some partial time fractional differential equation", IOSR Journal of Mathematics, 16(4), pp. 35-40 (2020).
19. Jleli, M., Kumar, S., Kumar, R., and Sameta, B. "Analytical approach for time fractional wave equations in the sense of Yang-Abdel-Aty-Cattani via the homotopy perturbation transform method", Alexandria Engineering Journal, 59, pp. 2859-2863 (2020).
20. Khalouta, A. and Kadem, A. "Comparison of new iterative method and natural homotopy perturbation method for solving nonlinear time-fractional wavelike equations with variable coefficients", Nonlinear Dynamics and Systems Theory, 19(1-SI), pp. 160-169 (2019).
21. Khalouta, A. and Kadem, A. "Solutions of nonlinear time-fractional wave-like equations with variable coefficients in the form of Mittag-Leffler functions", Thai Journal of Mathematics, 18(1), pp. 411-424 (2020).
22. Odibat, Z. "Fractional power series solutions of fractional differential equations by using generalized Taylor series", Applied and Computational Mathematics, 19(1), pp. 47-58 (2020).
23. Khalouta, A. and Kadem, A. "A new modification of the reduced differential transform method for nonlinear fractional partial differential equations", Journal of Applied Mathematics and Computational Mechanics, 19(3), pp. 45-58 (2020).
24. Avci, I. and Mahmudov, N.I. "Numerical solutions for multi-term fractional order differential equations with fractional Taylor operational matrix of fractional integration", Mathematics, 8(1), pp. 1-24 (2020).
25. Khalouta, A. and Kadem, A. "Solution of the fractional Bratu-type equation via fractional residual power series method ", Tatra Mountains Mathematical Publications, 76, pp. 127-142 (2020).
26. Khalouta, A. and Kadem, A. "New analytical method for solving nonlinear time-fractional reactiondi ffusion-convection problems", Revista Colombiana de Matematicas, 54(1), pp. 1-11 (2020).
27. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J., Theory and Application of Fractional Differential equations, Elsevier, North-Holland (2006).
28. Podlubny, I., Fractional Differential Equations, Academic Press, New York (1999).
29. Riabi, L., Belghaba, K., Hamdi Cherif, M., and Ziane, Dj. "Homotopy perturbation method combined with ZZ transform to solve some nonlinear fractional differential equations", International Journal of Analysis and Applications, 17(3), pp. 406-419 (2019).
30. Rao, T.R.R. "Numerical solution for time fractional gas dynamics equations through reduced differential transform coupled with fractional complex transform", International Journal of Pure and Applied Mathematics, 117(20), pp. 111-118 (2017).
31. Momani, S. and Yildirim, A. "Analytical approximate solutions of the fractional convection diffusion equation with nonlinnear source term by He's homotopy perturbation method", International Journal of Computer Mathematics, 87(5), pp. 1057-1065 (2010).
32. Singh, J., Kumar, D., and Kilicman, A. "Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations", Abstract and Applied Analysis, Article ID 535793, pp. 1-12 (2014).