A fractional version of the recursive Tau method for solving a general class of Abel-Volterra integral equations systems

Author:

Talaei Younes,Shahmorad Sedaghat,Mokhtary Payam,Faghih Amin

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference29 articles.

1. Al-Humedi, H.O., Abdul-hasan, A.S.: The reproducing kernel Hilbert space method for solving system of linear weakly singular Volterra integral equations. Journal of Advances in Mathematics 15, 8070–8080 (2018)

2. Brunner, H., Crisci, M.R., Russo, E., Vecchio, A.: Continuous and discrete time waveform relaxation methods for Volterra integral equations with weakly singular kernels. Ricerche Di Matematica 51(2), 201–222 (2002)

3. Brauer, F., Castillo-Chvez, C.: Mathematical Models in Population Biology and Epidemiology. Springer, New York (2012)

4. Crisci, M.R., Russo, E.: An extension of Ortiz’ recursive formulation of the $$\tau $$-method to certain linear systems of ordinary differential equations. Math. Comput. 41(163), 27–42 (1983)

5. Capobianco, G., Cardone, A.: A parallel algorithm for large systems of Volterra integral equations of Abel type. J. Comput. Appl. Math. 220(1), 749–758 (2008)

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