[1] N. Aghazadeh and A.A. Khajehnasiri, Solving nonlinear two-dimensional Volterra integro-differential equations
by block-pulse functions, Math. Sci. , 7 (2013) 1–6.
[2] M. Asgari and R. Ezzati, Using operational matrix of two-dimensional Bernstein polynomials for solving twodimensional integral equations of fractional order, Appl. Math. Comput. 307 (2017) 290-298.
[3] E. Babolian and M. Mordad, A numerical method for solving systems of linear and nonlinear integral equations
of the second kind by hat basis functions, Comput. Math. Appl. 62 (2011) 187–198.
[4] V. Balachandran and K. Murugesan, Analysis of electronic circuits using the single-term Walsh series approach,
Int. J. Elect. 69 (1990) 327–322.
[5] V. Balakumar and K. Murugesan, Single-Term Walsh series method for systems of linear volterra integral equations of the second kind, Appl. Math. Comput. 228 (2014) 371–376.
[6] R. Chandra Guru Sekar and K. Murugesan, Numerical solutions of nonlinear system of higher order volterra
integro-differential equations using generalized STWS technique, Diff. Equ. Dyn. Syst. 60 (2017) 1-13.
[7] R. Chandra Guru Sekar and K. Murugesan, Single term walsh series method for the system of nonlinear delay
volterra integro-differential equations describing biological species living together, Int. J. Appl. Comput. Math. 42
(2018) 1–13.
[8] C. F. Chen and Y. T. Tsay, Walsh operational matrices for fractional calculus and their application to distributed
systemes, J. Franklin Inst. 303 (1977) 267–284.
[9] A. Ebadian and A. A. Khajehnasiri, Block-pulse functions and their applications to solving systems of higher-order
nonlinear Volterra integro-differential equations, Elect. J. Diff. Equ. (2014) 1–9.
[10] L. Gaul, P. Klein and S. Kempfle, Damping description involving fractional operators, Mech. Syst. Signal Proc.
5 (1991) 81–88.
[11] W.G. Glockle and T.F. Nonnenmacher, A fractional calculus approach of self-similar protein dynamics, Biophys.
J. 68 (1995) 46–53.[12] E. Hesameddini and M. Shahbazi, Two-dimensional shifted Legendre polynomials operational matrix method for
solving the two-dimensional integral equations of fractional order, Appl. Math. Comput. 322 (2018) 40–54.
[13] A. A. Khajehnasiri, R. Ezzati and M. Afshar Kermani. Chaos in a fractional-order financial system, Int. J. Math.
Oper. Res. 17 (2020) 318–332.
[14] A. A. Khajehnasiri, R. Ezzati and M. Afshar Kermani, Solving fractional two-dimensional nonlinear partial
Volterra integral equation by using bernoulli wavelet, Iran. J. Sci. Tech. Trans. Sci. (2021) 1–13.
[15] A. A. Khajehnasiri and M. Safavi, Solving fractional Black-Scholes equation by using Boubaker functions, Math.
Meth. Appl. Sci. 39 (2021) 1–11.
[16] S. Mashayekbi and M. Razzaghi, Numerical solution of nonlinear fractional integro-differential equation by hybrid
functions, Engin. Anal. Boundary Elem. 56 (2015) 81–89.
[17] S. Momani and M. Aslam Noor, Numerical methods for fourth-order fractional integro-differential equations,
Appl. Math. Comput. 182 (2006) 754–760.
[18] S. Najafalizadeh and R. Ezzati, Numerical methods for solving two-dimensional nonlinear integral equations of
fractional order by using two-dimensional block pulse operational matrix, Appl. Math. Comput. 280 (2016) 46–56.
[19] I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.
[20] P. Rahimkhani and Y. Ordokhani, Approximate solution of nonlinear fractional integro-differential equations
using fractional alternative Legendre functions, J. Appl. Math. Comput. 311 (2020) 1–19.
[21] H. Rahmani Fazli, F. Hassani, A. Ebadian and A.A. Khajehnasiri, National economies in state-space of fractionalorder financial system, Afrika Mat. 10 (2015) 1-12.
[22] H. Rahmani Fazli, F. Hassani, A. Ebadian and A.A. Khajehnasiri, National economies in state-space of fractionalorder financial system, Afrika Mat. 27 (2016) 529-540.
[23] G.P. Rao, K.R. Palanisamy and T. Srinirasan, Extension of computation beyond the limit of initial normal interval
in Walsh series analysis of dynamical systems, Trans. Autom. Cont. 25 (1980) 317–319.
[24] N. Rohaninasab, K.Maleknjad and R. Ezzati, Numerical solution of high-order volterra-fredholm integrodifferential equation by using Legendre collocation method, Appl. Math. Comput. 328 (2018) 171–188.
[25] S. Sahafay, On Haar wavelet operational matrix of general order and its application for the numerical solution of
fractional Bagley Torvik equation, Appl. Math. Comput. 218 (2012) 5239–5248.