Collocation method with convergence for generalized fractional integro-differential equations

作者：

Highlights：

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• Collocation method for a linear and nonlinear Generalized Fractional Integro-differential equations (GFIDEs) defined in terms of B-operators is developed.

• The convergence analysis for both forms of GFIDEs is established.

• Test examples from the literature are considered to perform the numerical simulations, and the obtained results are presented through figures and tables.

摘要

•Collocation method for a linear and nonlinear Generalized Fractional Integro-differential equations (GFIDEs) defined in terms of B-operators is developed.•The convergence analysis for both forms of GFIDEs is established.•Test examples from the literature are considered to perform the numerical simulations, and the obtained results are presented through figures and tables.

论文关键词：Integro-differential equations,Generalized derivatives,Collocation method,Legendre polynomials

论文评审过程：Received 5 June 2017, Revised 22 September 2017, Available online 27 April 2018, Version of Record 11 May 2018.

论文官网地址：https://doi.org/10.1016/j.cam.2018.04.033