Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations
Fractional integro-differential equations have been the subject of significant interest in science and engineering problems. This paper deals with the numerical solution of classes of fractional Fredholm-Volterra integro-differential equations. The fractional derivative is described in the Caputo se...
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2020
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| Online Access: | http://journalarticle.ukm.my/15366/ http://journalarticle.ukm.my/15366/1/24.pdf |
| _version_ | 1848813783364927488 |
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| author | Saadatmandi, Abbas Akhlaghi, Samiye |
| author_facet | Saadatmandi, Abbas Akhlaghi, Samiye |
| author_sort | Saadatmandi, Abbas |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | Fractional integro-differential equations have been the subject of significant interest in science and engineering problems. This paper deals with the numerical solution of classes of fractional Fredholm-Volterra integro-differential equations. The fractional derivative is described in the Caputo sense. We consider a hybrid of block-pulse functions and Bernoulli polynomials to approximate functions. The fractional integral operator for these hybrid functions together with the Legendre-Gauss quadrature is used to reduce the computation of the solution of the problem to a system of algebraic equations. Several examples are given to show the validity and applicability of the proposed computational procedure. |
| first_indexed | 2025-11-15T00:23:40Z |
| format | Article |
| id | oai:generic.eprints.org:15366 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:23:40Z |
| publishDate | 2020 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:153662020-10-16T01:23:01Z http://journalarticle.ukm.my/15366/ Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations Saadatmandi, Abbas Akhlaghi, Samiye Fractional integro-differential equations have been the subject of significant interest in science and engineering problems. This paper deals with the numerical solution of classes of fractional Fredholm-Volterra integro-differential equations. The fractional derivative is described in the Caputo sense. We consider a hybrid of block-pulse functions and Bernoulli polynomials to approximate functions. The fractional integral operator for these hybrid functions together with the Legendre-Gauss quadrature is used to reduce the computation of the solution of the problem to a system of algebraic equations. Several examples are given to show the validity and applicability of the proposed computational procedure. Penerbit Universiti Kebangsaan Malaysia 2020-04 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/15366/1/24.pdf Saadatmandi, Abbas and Akhlaghi, Samiye (2020) Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations. Sains Malaysiana, 49 (4). pp. 953-962. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid49bil4_2020/KandunganJilid49Bil4_2020.html |
| spellingShingle | Saadatmandi, Abbas Akhlaghi, Samiye Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations |
| title | Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations |
| title_full | Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations |
| title_fullStr | Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations |
| title_full_unstemmed | Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations |
| title_short | Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations |
| title_sort | using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations |
| url | http://journalarticle.ukm.my/15366/ http://journalarticle.ukm.my/15366/ http://journalarticle.ukm.my/15366/1/24.pdf |