___

• Abbasbandy S., Homotopy analysis method for generalized Benjamin-Bona-Mahony equation, Z. Angew. Math. Phys., 59, 51-62, (2008).
• Abdulaziz O., Hashim I., Saif A., Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method, Differential Equations and Nonlinear Mechanics, 13, 16, (2008).
• Arafa A.A.M., Rida S.Z., Mohamed H., Approximate analytical solutions of Schnakenberg systems by homotopy analysis method, Applied Mathematical Modelling, 36, 4789–4796, (2012).
• Aslanov A., A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients, Abstract and Applied Analysis, 7, (2015).
• Dehghan M., Manafian J., Saadatmandi A., Solving Nonlinear Fractional Partial Differential Equations Using the Homotopy Analysis Method, Numerical Methods for Partial Differential Equations, 26, 448-479, (2009).
• Elsaid A., Homotopy analysis method for solving a class of fractional partial differential equations, Commun. Nonlinear Sci. Numer. Simulat., 16, 3655–3664, (2011).
• Fan T., You X., Optimal homotopy analysis method for nonlinear differential equations in the boundary layer, Numerical Algorithms, 62(2), 337–354, (2013).
• Freihat A. A., Zurigat M., Handam A. H., The multi-step homotopy analysis method for modified epidemiological model for computer viruses, Afr. Mat. 26, 585–596, (2013).
• Hariharan G., A homotopy analysis method for the nonlinear partial differential equations arising in engineering, International Journal for Computational Methods in Engineering Science and Mechanics, 18(2-3), 191-200, (2017).
• Jia V., He X., Guo L., The Optimal Homotopy Analysis Method for solving linear optimal control problems, Applied Mathematical Modelling, 45, 865-880, (2017).
• Liao S. J., The Proposed Homotopy Analysis Technique for the Solution of Non-linear Problems, PhD, Shanghai Jiao Tong University, Shanghai, China, (1992).
• Liao S. J., An explicit, totally analytic approximate solution for Blasius’ viscous flow problems, International Journal of Non-Linear Mechanics, 34(4), 759-778, (1999).
• Liao S.J., Beyond Perturbation: Introduction to the Homotopy Analysis Method, Boca Raton, FL, USA, Chapman and Hall/CRC Press, (2003).
• Liao S.J., Comparison between the homotopy analysis method and homotopy perturbation method, Appl. Math. Cumput., 169: 1186-1194, (2005).
• Liao S.J., An optimal homotopy-analysis approach for strongly nonlinear differential equations, Commun. Nonlinear Sci. Numer. Simulat, 15, 2003-2016, (2010).
• Lu D., Liu J., Application of the Homotopy Analysis Method for Solving the Variable Coefficient KdV-Burgers Equation, Abstract and Applied Analysis, 4, (2014).
• Niu Z., Wang C., A one-step optimal homotopy analysis method for nonlinear differential equations, Communications in Nonlinear Science and Numerical Simulation, 15(8), 2026-2036, (2010).
• Odibat Z., Bataineh A. S., An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials, Math. Meth. Appl. Sci., 38, 991–1000, (2015).
• Odibat Z., On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations, Applied Numerical Mathematics, 137, 203-212, (2018).
• Pandey R.K., Mishra H.R., Homotopy analysis Sumudu transform method for time-fractional third order dispersive partial differential equation, Adv. Comput. Math., 43, 365–383, (2017).
• Sakar M.G., Erdoğan F., The homotopy analysis method for solving the time-fractional Fornberg-Whitham equation and comparison with Adomian's decomposition method, Applied Mathematical Modelling, 37, 8876-8885, (2013).
• Sakar M.G., Numerical solution of neutral functional-differential equations with proportional delays, An International Journal of Optimization and Control: Theories & Applications, 7(2), 186-194, (2017).
• Shaiq M.S., Iqbal Z., Mohyud-Din S.T., Homotopy analysıs method for time-fractional wave-like equatıons, Computational Mathematics and Modeling, 24(4), 592-603, (2013).
• Song L., Zhang H., Application of homotopy analysis method to fractional KdV-Burgers-Kuramoto equation, Physics Letters A, 367, 88-94, (2007).
• Sun Q., Solving the Klein–Gordon equation by means of the homotopy analysis method, Applied Mathematics and Computation, 169, 355-365, (2004).
• Turkyilmazoğlu M., An effective approach for evaluation of the optimal convergence control parameter in the homotopy analysis method, Filomat, 30(6), 1633 -1650, (2016).
• Van Gorder R.A., Vajravelu K., On the selection of auxiliary functions, operators, and convergence control parameters in the application of the Homotopy Analysis Method to nonlinear differential equations: A general approach, Communications in Nonlinear Science and Numerical Simulation, 14(12), 4078-4089, (2009).
• Van Gorder R.A., Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations, Numerical Algorithms, 81(1), 181-196, (2019).
• Vishal K., Kumar S., Das S., Application of homotopy analysis method for fractional Swift-Hohenberg equation-revisited, Applied Mathematical Modelling, 36(8), 3630-3637, (2012).
• Yusufoğlu E., Selam C., The homotopy analysis method to solve the modified Equal Width wave equation, Numerical Methods Partial Differential Equations, 26, 1434-1442, (2010).