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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
4/2010

A CAS Wavelet Method for Solving Nonlinear Fredholm Integro- Differential Equations of Fractional Order

Habib Allah Saeedi, Nasibeh Mollahasani and Gennady Chuev

Abstract

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.

Received:
Feb 1, 2010
Published:
Feb 1, 2010
MSC Codes:
65R20, 65T60, 26A33
Keywords:
fractional calculus, CAS wavelets, Fredholm integro- differential equation

Related publications

inJournal
2011 Repository Open Access
Habibollah Saeedi, M. Mohseni Moghadam, Nasibeh Mollahasani and Gennady N. Chuev

A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order

In: Communications in nonlinear science and numerical simulation, 16 (2011) 3, pp. 1154-1163