[1] M.L. Heard, An abstract parabolic volterra integrodifferential equation, SIAM J. Math. Anal. 13 (1982), no. 1, 81–105.
[2] T. Hayat, R. Naz and S. Abbasbandy, On flow of a fourth-grade fluid with heat transfer, Int. J. Numer. methods Fluids. 67 (2011), no. 12, 2043–2053.
[3] M. Esmailzadeh, J. Alavi and H. Saberi-Najafi, A numerical scheme for solving nonlinear parabolic partial differential equations with piecewise constant arguments, Int. J. Nonlinear Anal. Appl. 13 (2022), no. 1, 783–798.
[4] M. Rcnardy, Mathematical analysis of viscoelastic flows, Ann. Rev. Fluid Mech. 21 (1989), 21–36.
[5] M.E. Gurtin and A.C. Pipkin, A general theory of heat conduction with finite wave speed, Arch. Ration. Mech. Anal. 31 (1968), 113–126.
[6] R.K. Miller, An integro-differential equation for grid heat conductors with memory, J. Math. Anal. Appl. 66 (1978), 313–332.
[7] J.C.Lopez-Marcos, A difference scheme for a nonlinear partial integro-differential equation, SIAM J. Numer. Anal. 31 (1968), 113–126.
[8] W. Long, D. Xu and X. Zeng, Quasi wavelet based numerical method for a class of partial integro-differential equation, Appl. Math. Comput. 218 (2012), no. 24, 11842–11850.
[9] M. Gholamian, J. Saberi-Nadjafi and A.R. Soheili, Cubic B-splines collocation method for solving a partial integrodifferential equation with a weakly singular kernel, Comput. Meth. Diff. Equ. 7 (2019), no. 3, 497–510.
[10] T. Tang, A finite difference scheme for a partial integro-differential equations with a weakly singular kernel, Appl. Numer. Math. 11 (1993), 309–319.
[11] M. Dehghan, Solution of a partial integro-differential equation arising from viscoelasticity, Int. J. Comput. Math. 83 (2006), no. 1, 123–129.
[12] F. Fakhar-Izadi and M. Dehghan, Space-time spectral method for a weakly singular parabolic partial integrodifferential equation on irregular domains, Comput. Math. Appl. 67 (2014), 1884–1904.
[13] M. Luo, D. Xu and L. Li, A compact difference scheme for a partial integro-differential equation with a weakly singular kernel, Appl. Math. Modell. 39 (2015), 947–954.
[14] J. Biazar, A. Aasaraai and M.B. Mehrlatifan, A compact scheme for a partial integro-differential equation with weakly singular kernel, J. Sci. Islam. Repub. 28 (2017), no. 4, 359–367.
[15] A. Mohebbi, Crank-Nicolson and Legendre spectral collocation methods for a partial integro-differential equation with a singular kernel, J. Comput. Appl. Math. 349 (2019), 197–206.
[16] Y.-M. Wang and Y.-J. Zhang, A Crank-Nicolson-type compact difference method with the uniform time step for a class of weakly singular parabolic integro-differential equations, Appl. Numer. Math. 172 (2022), 566–590.
[17] E. Qahremani, T. Allahviranloo, S. Abbasbandy and N. Ahmady, A study on the fuzzy parabolic Volterra partial integro-differential equations, J. Intell. Fuzzy Syst. 40 (2021), no. 1, 1639–1654.
[18] M. Hajiketabi and S. Abbasbandy, The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: Application to the heat equation, Eng. Anal. Bound. Elem. 87 (2018), 36–46.
[19] A.A. Ahmad, Solving partial differential equations via a hybrid method between homotopy analytical method and Harris hawks optimization algorithm, Int. J. Nonlinear Anal. Appl. 13 (2022), no. 1, 663–671.
[20] W. Gautschi, Orthogonal polynomials and quadrature, Electron. Trans. Numer. Anal. 9 (1999), 65–76.
[21] G.H. Golub, Some modified matrix eigenvalue problems, SIAM. Rev. 15 (1973), 318–334.
[22] J. Almira, M¨untz type theorems I, Surv. Approx. Theory 3 (2007), 152–194.
[23] GV. Milovanovi´c, M¨untz orthogonal polynomials and their numerical evaluation, in: Applications and Computation of Orthogonal Polynomials, Internat. Ser. Numer. Math., vol.131, Birkh¨auser, Basel, 1999, pp.179–194.
[24] S. Esmaeili, M. Shamsi and Y. Luchko, Numerical solution of fractional differential equations with a collocation method based on M¨untz polynomials, Comput. Math. Appl. 62 (2011), no. 3, 918–929.
[25] C. Canuto, M.Y. Hussaini, A. Quarteroni and T.A. Zang, Spectral Methods: Fundamentals in Single Domains, Springer, Berlin, 2006.