[1] A. Ahmadkhanlu, M. Jahanshahi, On the existence and uniqueness of solution of initial value problem for
fractional order differential equations on time scales, Bull. Iran. Math. Soc. 38 (2012) 241–252.
[2] A. Akyz-Dacolu, H. Cerdik Yaslan, An approximation method for the solution of nonlinear integral equa-
tions, Appl. Math. Comput. 174 (2006) 619–629.
[3] J. Cronin, Ordinary Differential Equations Introduction and Qualitative Theory, CRC Press, 2007.
[4] V. Daftardar-Gejji, Fractional Calculus and Fractional Differential Equations, Birkhuser, 2019.
[5] M.H. Derakhshan, M. Jahanshahi, H. Kazemi demneh, Investigation the boundary and initial value problems
including fractional integro-differential equations with singular kernels, J. Adv. Math. Model. 11 (2021)
97–108.
[6] R. Hosseini, M. Jahanshahi, A.A. Pashavand, N. Aliyev, The study of some boundary value problems includ-
ing fractional partial differential equations with non-local boundary conditions, Iran. J. Math. Sci. Inform,
14 (2019) 69–77.
[7] M. Jahanshahi, A. Ahmadkhanlu, On well-posed of boundary value problems including fractional order
differential equation, Asian. Bull. Math. 36 (2014) 53–59.
[8] S. Jahanshahi, E. Babolian, D. F. Torres, A. Vahidi, Solving Abel equations of kind first kind via fractional
calculus, J. King. Saud. Univ. Sci. 27 (2015) 161–167.
[9] M. Jahanshahi, R. Danaei, Investigation and solving of initial-boundary value problem including fourth order
PDE by contour integral and asymptotic methods, J. Math. Model. 11 (2023) 245–255.
[10] M. Jahanshahi, H., Kazemidemneh, Contrast of Homotopy and Adomian Decomposition Methods with
Mittag-leffer Function for Solving Some Nonlinear Fractional Partial Differential Equations, Int. J. Ind.
Math. 12 (2020) 263–271.
[11] M. Jahanshahi, D. Nazari, N. Aliev, A special successive approximations method for solving boundary value
problems including ordinary differential equations, Math. Sci. 7 (2013) 42.
[12] R. P. Kanwal, Linear integral equations, Springer Science, Business Media, 2013.
[13] A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations,
Elsevier, Amsterdam, 2006.
[14] E.V. Kovalenko, Some approximate methods of solving integral equations of mixed problems, J. Appl. Math.
Mech. 53 (1989) 85–92.
[15] M. Krasnov, A. Kiselev, M. Makarenko, A. krasnov, Kiselev, G. Makarenko, Problems and Exercises in
Integral Equations, Translated from Russian by George Yankovsky, Mir Publishers, Moscow, 1971.
[16] Y.J. Mahmadov, principles of approximates methods, Maaref Nashriyati, Baku, Azerbaijan, (1986), pp. 264.
[17] P. Rahimkhani, Y. Ordokhani, Numerical solution of fractional partial differential equations by using radial
basis functions combined with Legendre wavelets, J. Math. Model. 8, 4. (2020). 435-454.
[18] H-J. Reinhardt, Analysis of Approximation Methods for Differential and Integral Equations, Springer Sci-
ence, Business Media, 57. (2012).
[19] D.N. Susahab, M. Jahanshahi, Numerical solution of nonlinear fractional Volterra-Fredholm integro-
differential equations with mixed boundary conditions, Int. J. Industrial Mathematics. 7(1)(2015) 63-69.
[20] D. N. Susahab, S. Shahmorad, M. Jahanshahi, Efficient quadrature rules for solving nonlinear fractional
integro-differential equations of the Hammerstein type, Appl. Math. Model. 39 (2015) 5452–5458.
[21] M.S. Tavazoei, M. Tavakoli-Kakhki, Fractional order systems and controllers, K.N. Toosi University of
Technology, Tehran, Iran. (2017).
)