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arXiv · 1711.09228

The convergence of operational Tau method for solving a class of nonlinear Fredholm fractional integro-differential equations on Legendre basis

A. Yousefi·E. Babolian·S. Javadi
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Abstract

In this paper, we investigate approximate solutions for nonlinear Fredholm integro-differential equations of fractional order. We present an operational Tau method by obtaining the Tau matrix representation. We solve a special class of nonlinear Fredholm integro-differential equations based on Legendre-Tau method. By using the Sobolev inequality and some of Banach algebra properties, we prove that our proposed method converges to the exact solution in L^2-norm.

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A. Yousefi, E. Babolian, S. Javadi. 2017-11-25. The convergence of operational Tau method for solving a class of nonlinear Fredholm fractional integro-differential equations on Legendre basis. https://arxiv.org/abs/1711.09228

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