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 K.S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley &Sons, New York, NY, USA, (1993).
 H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, San Diego, (2006).
 I. Podlubny, Fractional Differential Equations. Academic Press, San Diego, Calif, USA, (1999).
 R. Khalil et al., A new definition of fractional derivative, Journal of Computational and Applied Mathematics. 264 (2014) 65-70.
 T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math. 279 (2015) 57-66.
 O.S. Iyiola, G.O. Ojo, On the analytical solution of Fornberg-Whitham equation with the new fractional derivative, Pramana Journal of Physics. 85 (2015) 567-575.
 E. Hesameddini, E. Asadollahifard, Numerical solution of multi-order fractional differential equations via the sinc collocation method, Iranian Journal of Numerical Analysis and Optimization. 5 (2015) 37-48.
 K. R. Prasad, B. M. B. Krushna, Existence of multiple positive solutions for a coupled system of iterative type fractional order boundary value problems, J. Nonlinear Funct. Anal. 2015 (2015), Article ID 11.
 O. Acan et al., Solution of Conformable Fractional Partial Differential Equations by Reduced Differential Transform Method, Selcuk Journal of Applied Mathematics, 2016 (In Press).
 A. Kurt, Y. Cenesiz, O. Tasbozan, On the Solution of Burgers-Equation with the New Fractional Derivative, Open Phys. 13 (2015) 355.
 A. Atangana, D. Baleanu, A. Alsaedi, New properties of conformable derivative, Open Math. 13 (2015) 889-898.
 S.J. Liao, Homotopy analysis method and its application, Ph. D thesis, Shanghai Jiao Tong University, Shanghai, China, (1992).
 S.J. Liao, Beyond Perturbation: Introduction to the Homotopy Analysis Method, Chapman and Hall/CRC Press, Boca Raton, (2003).
 S.J. Liao, Notes on the homotopy analysis method: Some definitions and theorems, Commun. Nonlinear Sci. Numer. Simulat. 14(4) (2009) 983-997.
 A. Kurt, O. Tasbozan, Approximate Analytical Solution of the Time Fractional Whitham-BroerKaup Equation Using the Homotopy Analysis Method, Int. J. of Pure and Appl. Math. 98 (2015) 503.
 Y. Cenesiz et al., New Exact Solutions of Burgers' Type Equations with Conformable Derivative, Waves in Random and Complex Media. (2016) 1-14.
 M. Kaplan, A. Akbulut, "Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative", Arab Journal of Basic and Applied Sciences, Vol. 25, p. 77, 2018DOI: https://doi.org/10.1080/25765299.2018.1449348