[[1] ABDULAZIZ, O.—HASHIM, I.—MOMANI, S.: Solving systems of fractional differential equations by homotopy perturbation method, Phys. Lett. A. 372 (2008), no. 4, 451–459.]Search in Google Scholar
[[2] BOYD, J. P.: An analytical two-dimensional Bratu equation, J. Sci. Comput. 1 (1986), no. 2, 183–206.]Search in Google Scholar
[[3] BOYD, J. P.: Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation, Appl. Math. Comput. 142 (2003), 189–200.]Search in Google Scholar
[[4] EL-AJOU, A.—ABU ARQUB, O.—AL ZHOUR, Z.—MOMANI, S.: New results on fractional power series: theories and applications, Entropy 15 (2013), no. 12, 5305–5323.]Search in Google Scholar
[[5] ARIKOGLU, A.—OZKOL, I.: Solution of fractional differential equations by using differential transform method, Chaos Solitons Fractals 34 (2007), no. 5, 1473–1481.]Search in Google Scholar
[[6] BABAEI, A.—JAFARI, H.—AHMADI, M.: A fractional order HIV/AIDS model based on the effect of screening of unaware infectives, Math. Methods Appl. Sci. 42 (2019), no. 7, 2334–2343.]Search in Google Scholar
[[7] BUCKMIRE, R.: Application of a Mickens finite-difference scheme to the cylindrical Bratu–Gelfand problem, Numer. Methods Partial Differential Equations 20 (2004), no. 3, 327–337.]Search in Google Scholar
[[8] DAFTARDAR-GEJJI, V.—JAFARI, H.: Solving a multi-order fractional differential equation using adomian decomposition, Appl. Math. Comput. 189 (2007), 541–548.]Search in Google Scholar
[[9] GHAZANFARI, B.—SEPAHVANDZADEH, A.: Adomian Decomposition Method for Solving Fractional Bratu-type Equations, J. Math. Comput. Sci. 8 (2014), 236–244.10.22436/jmcs.08.03.06]Search in Google Scholar
[[10] GHAZANFARI, B.—SEPAHVANDZADEH, A.: Homotopy perturbation method for solving fractional Bratu-type equation, J. Math. Model. 2 (2015), no. 2, 143–155.]Search in Google Scholar
[[11] HASHIM, I.—ABDULAZIZ, O.—MOMANI, S.: Homotopy analysis method for fractional IVPs, Commun. Nonlinear Sci. Numer. Simul. 14 (2009), 674–684.10.1016/j.cnsns.2007.09.014]Search in Google Scholar
[[12] JAFARI, H—TAJADODI, H.: Electro–Spunorganic Nanofibers Elaboration Process Investigations using BPs Operational Matrices, Iran. J. Math. Chem. 7 (2016), no. 1, 19–27.]Search in Google Scholar
[[13] KHALOUTA, A.—KADEM, A.: Comparison of new iterative method and atural homotopy perturbation method for solving nonlinear time-fractional wave-like quations with variable coefficients, Nonlinear Dyn. Syst. Theory 19 (1-SI) (2019), 160–169.10.32513/tbilisi/1578020573]Search in Google Scholar
[[14] KILBAS, A.—SRIVASTAVA, H. M.—TRUJILLO, J. J.: Theory and Application of Fractional Differential equations. Elsevier, Amsterdam, 2006.]Search in Google Scholar
[[15] MILLER, K. S.—ROSS, B.: An Introduction to the Fractional Calculus and Fractional Differential Equations. John Wiley, New York, 1993.]Search in Google Scholar
[[16] ODIBAT, Z. S.—MOMANI, S.: Analytical comparison between the homotopy perturbation method and variational iteration method for differential equations of fractional order. Internat. J. Modern Phys. B. 22 (2008), 4041–4058.]Search in Google Scholar
[[17] PODLUBNY, I.: Fractional Differential Equations. Academic Press, New York, 1999.]Search in Google Scholar
[[18] SAMKO, S. G.—KILBAS, A. A.—MARICHEV, O. I.: Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach Science, Yverdon, Switzerland, 1993.]Search in Google Scholar
[[19] SINGH, A.—DAS, S.—ONG, S.-H.—JAFARI, H.: Numerical Solution of Nonlinear Reaction-Advection-Diffusion Equation, J. Comput. Nonlinear Dyn. 14 (2019), no. 4, 041003.]Search in Google Scholar
[[20] SYAM, M. I.—HAMDAN, A.: An efficient method for solving Bratu equations, Appl. Math. Comput. 176 (2006), no. 2, 704–713.]Search in Google Scholar
[[21] WAZWAZ, A. M.: Adomian decomposition method for a reliable treatment of the Bratu-type equations, Appl. Math. Comput. 166 (2005), no. 3, 652–663.]Search in Google Scholar
