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• Zhang, Y. (2009). A finite difference method for fractional partial differential equation. Applied Mathematics and Computation, 215(2), 524-529.
• Ibrahim, R.W. (2011). On holomorphic solutions for nonlinear singular fractional differential equations. Computers & Mathematics with Applications, 62(3), 1084-1090.
• Odibat, Z. and Momani, S. (2008). A generalized differential transform method for linear partial differential equations of fractional order. Applied Mathematics Letters, 21(2), 194-199.
• Odibat, Z. and Momani, S. (2008). Numerical methods for nonlinear partial differential equations of fractional order. Applied Mathematical Modelling, 32(1), 28-39.
• Bildik, N. and Bayramoglu, H. (2005). The solution of two dimensional nonlinear differential equation by the Adomian decomposition method. Applied mathematics and computation, 163(2), 519-524.
• Bildik, N., Konuralp, A., Bek, F.O., & Küçükarslan, S. (2006). Solution of different type of the partial differential equation by differential transform method and Adomian’s decomposition method. Applied Mathematics and Computation, 172(1), 551-567.
• Daftardar-Gejji, V. and Jafari, H. (2005). Adomian decomposition: A tool for solving a system of fractional differential equations. Journal of Mathematical Analysis and Applications, 301(2), 508-518.
• Elbeleze, A.A., Kılıçman, A., & Taib, B.M. (2013). Homotopy perturbation method for fractional Black-Scholes European option pricing equations using sumudu transform. Mathematical Problems in Engineering, 2013.
• El-Sayed, A. and Gaber, M. (2006). The adomian decomposition method for solving partial differential equations of fractal order in finite domains. Physics Letters A, 359(3), 175-182.
• El-Wakil, S.A., Abdou, M.A., & Elhanbaly, A. (2006). Adomian decomposition method for solving the diffusion–convection–reaction equations. Applied Mathematics and Computation, 177(2), 729-736.
• Gülkaç, V. (2010). The homotopy perturbation method for the Black–Scholes equation. Journal of Statistical Computation and Simulation, 80(12), 1349-1354.
• Momani, S. and Odibat, Z. (2007). Numerical approach to differential equations of fractional order. Journal of Computational and Applied Mathematics, 207(1), 96-110.
• Momani, S. and Odibat, Z. (2007). Homotopy perturbation method for nonlinear partial differential equations of fractional order. Physics Letters A, 365(5), 345-350.
• Evirgen, F. and Özdemir, N. (2012). A fractional order dynamical trajectory approach for optimization problem with HPM. In: D. Baleanu, Machado, J.A.T., Luo, A.C.J., eds. Fractional Dynamics and Control, Springer, 145-155.
• Yavuz, M., Ozdemir, N., & Okur, Y.Y. (2016). Generalized differential transform method for fractional partial differential equation from finance, Proceedings, International Conference on Fractional Differentiation and its Applications, Novi Sad, Serbia, 778-785.
• Kurulay, M., Secer, A., & Akinlar, M.A. (2013). A new approximate analytical solution of Kuramoto- Sivashinsky equation using homotopy analysis method. Applied Mathematics & Information Sciences, 7(1), 267-271.
• Turut, V. and Güzel, N. (2013). Multivariate pade approximation for solving nonlinear partial differential equations of fractional order. Abstract and Applied Analysis, 2013.
• Javidi, M. and Ahmad, B. (2013). Numerical solution of fractional partial differential equations by numerical Laplace inversion technique. Advances in Difference Equations, 2013(1), 375.
• Madani, M., Fathizadeh, M., Khan, Y., & Yildirim, A. (2011). On the coupling of the homotopy perturbation method and Laplace transformation. Mathematical and Computer Modelling, 53(9), 1937-1945.
• 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.
• Anderson, D. and Ulness, D. (2015). Newly defined conformable derivatives. Adv. Dyn. Syst. Appl, 10(2), 109-137.
• Atangana, A., Baleanu, D., & Alsaedi, A. (2015). New properties of conformable derivative. Open Mathematics, 13(1), 889-898.
• Çenesiz, Y., Baleanu, D., Kurt, A., & Tasbozan, O. (2017). New exact solutions of Burgers’ type equations with conformable derivative. Waves in Random and Complex Media, 27(1), 103-116.
• Avcı, D., Eroglu, B.I., & Ozdemir, N. (2016). Conformable heat problem in a cylinder, Proceedings, International Conference on Fractional Differentiation and its Applications, 572- 581.
• Avcı, D., Eroğlu, B.B.İ., & Özdemir, N. (2017). Conformable fractional wave-like equation on a radial symmetric plate. In: A. Babiarz, Czornik, A., Klamka, J., Niezabitowski, M., eds. Theory and Applications of Non-Integer Order Systems, Springer, 137-146.
• Avci, D., Eroglu, B.B.I., & Ozdemir, N. (2017). Conformable heat equation on a radial symmetric plate. Thermal Science, 21(2), 819-826.
• Abdeljawad, T. (2015). On conformable fractional calculus. Journal of computational and Applied Mathematics, 279, 57-66.
• Acan, O. and Baleanu, D. (2017). A new numerical technique for solving fractional partial differential equations. arXiv preprint arXiv:1704.02575,
• Adomian, G. (1988). A review of the decomposition method in applied mathematics. Journal of Mathematical Analysis and Applications, 135(2), 501-544.
• Demir, A., Erman, S., Özgür, B., & Korkmaz, E. (2013). Analysis of fractional partial differential equations by Taylor series expansion. Boundary Value Problems, 2013(1), 68.
• Momani, S. and Odibat, Z. (2007). Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. Computers & Mathematics with Applications, 54(7), 910-919.