A CAS Wavelet Method for Solving Nonlinear Fredholm Integro- Differential Equations of Fractional Order
Habib Allah Saeedi, Nasibeh Mollahasani, and Gennady Chuev
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Submission date: 01. Feb. 2010
published in: Communications in nonlinear science and numerical simulation, 16 (2011) 3, p. 1154-1163
DOI number (of the published article): 10.1016/j.cnsns.2010.05.036
MSC-Numbers: 65R20, 65T60, 26A33
Keywords and phrases: fractional calculus, CAS wavelets, Fredholm integro- differential equation
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In this paper we present a computational method for solving a class of nonlinear Fred holm integro- diﬀerential equations of fractional order which is based on CAS (Cosine And Sine) wavelets. The CAS wavelet operational matrix of fractional integration is derived and used to transform the equation to a system of algebraic equations. some examples are included to demonstrate the validity and applicability of the technique.