Podlubny, I. (1999). Fractional Diﬀerential Equations: An Introduction to Fractional Galerkin Derivatives, Fractional Diﬀerential Equations, to Methods of Their Solution and Some of Their Applications. 198, Academic Press, San Diego, USA.
 Kilbas, A. A., Srivastava, H. M., and Trujillo, J. J. (2006). Theory and Applications of Fractional Differential Equations. Elsevier B.V, Library of Congress.
 Diethelm, K. (2004). The Analysis of Fractional Differential equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type. Germany, Heidelberg Dordrecht London New York.
 Oldham, K. B. and Spanier, J. (1974). Theory and Application of Differentiation and Integration to Arbitrary Order. Academic Press Inc, New York.
 Herrmann, R. (2014). Fractional Calculus. Germany-World. Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224.
 Li, C. and Zeng, F. (2015). Numerical Methods for Fractional Calculus. CRC Press, London, New York.
 Keskin, A. U. (2019). Boundary Value Problems for Engineers. Springer Nature Switzerland AG.
 Islam, M. S. and Shirin, A. (2011). Numerical solutions of a class of second order boundary value problems on using Bernoulli Polynomials. Appl Math, 2, 1059-1067.
 Al-Refai M., Ali H. M. and I. Syam M. (2014). An Efficient Series Solution for Fractional Differential Equations. Hindawi Publishing Corporation, Abstract and Applied Analysis, Article ID 891837, 7 pages.
 Mohammadi F. and Mohyud-Din S. T. (2016). A fractional-order Legendre collocation method for solving the Bagley-Torvik equations. Advances in Difference Equations, 2016: 269.
 Cheng, J. and Chu, Y. (2011). Solution to the Linear Fractional Differential Equation Using Adomian decomposition Method. Mathematical Problems in Engineering, Article ID 587068, 14 pages.
 Ruman, U. and Islam, M. S. (2020). Numerical Solutions of Linear Fractional Order BVP by Galerkin Residual Method with Differentiable Polynomial. Appl. and Comput. Math., 9(2), 20-25.
 Secer, A., Alkan, S., Akinlar, M. A., and Bayram, M. (2013). Sinc-Galerkin method for approximate solutions of fractional order boundary value problems. Secer et al., Boundary value problems.
 Pedas, A. and Tamme, E. (2012). Piecewise polynomial collocation for linear boundary value problems of fractional differential equations. J. Comput. and Appl. Math., 236 (2012), 3349-3359.
 El-Ajou, A., Arqub, O. A., and Momani, S. (2013). Solving fractional two-point boundary value problems using continuous ana-lytic method. Ain Shams Engineering Journal, 539-547.
 Stanek, S. (2013). Two-point boundary value problems for the generalized Bagley- Torvik fractional differential equations. Cent. Eur. J. Math., 11(3), 574-593.
 Emadifar, H. and Jalilian, R. (2020). An exponential spline approximation for fractional Bagley-torvik equation. Emadifar and Jalilian Boundary Value Problems, 2020: 20.
 Hamasalh, F. K. and Muhammed, P. O. (2017). Computational Non-Polynomial Spline Function for Solving Fractional Bagley-Torvik Equation. Math. Sci. Lett., 6, No. 1, 83-87.
 Viswanadham, K. N. S. K., Krishna, P. M., and Koneru, R. S. (2010). Numerical Solutions of Fourth Order Boundary Value Problems by Galerkin Method with Quintic B-Splines. Int. J. Nonlinear Sci., 10(2), 222-230.
 Hossain, M. B. and Islam, M. S. (2014). Numerical Solutions of General Fourth Order Two Point Boundary Value Problems by the Galerkin Method with Legendre Polynomials. Dhaka Univ. J. Sci., 62(2): 103-108.
 Zahra, W. K. and Elk holy, S. M. (2012). Spline Solution for Fourth Order Fractional Integro-Differential Equation. J. Fract. Cal. and Appl., 3(17), 1-13.
 Akram, G. and Tariq, H. (2017). Quintic Spline Collocation Method for Fractional Boundary Value Problem. Journal of the association of Arab Universities for Basic and Applied Sciences, 23, 57-65.
 Akgül, A. and Akgül, E. K. (2019). A Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems. Fractal and Fractional, 3, 33; doi: 10.3390/fractalfract3020033.
 Khalid, N., Abbas, M., and Iqbal, M. K. (2019). Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms. Appl. Math. And Comput., 349, 393-407.
 Rahman, M. A., Islam, M. S., and Alam, M. M. (2012). Numerical Solutions of Volterra Integral Equations Using Laguerre Polynomials. J. Sci. Res., 4(2), 357-364.
 Shirin, A. and Islam, M. S. (2010). Numerical Solutions of Fredholm Integral Equations Using Bernstein Polynomials. J. Sci. Res., 2(2), 264-272.
 Rajagopal, N., Balaji, S., Seethalakshmi, R., and Balaji, V. S. (2020). A new numerical method for fractional order Volterraintegro differential equations. Ain Shams Eng. J., 11, 171-177.
 Mohamed, D. SH. (2014). Numerical Solution of Fractional Singular Integro-Differential Equations by using Taylor series expansion. J. Pure and Appl. Math., 12(2), 129-143.
 Jani, M., Bhatta, D., and Javadi, S. (2017). Numerical solution of fractional integro-differential equations with nonlocal conditions. Application and Appl. Math., 12(1), 98-111.
 Momani, S. and Noor, M. A. (2006). Numerical methods for fourth-order fractional integro-differential equations. Appl. Math. Comput., 182, 754-760.
 Lewis, P. E. and Ward, J. P. (1991). The Finite Element Method, Principles and applications. Addison-Wesley Publishers Ltd.