A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials
This work presents a projection method based on Vieta–Lucas polynomials and an effective approach to solve a Cauchy-type fractional integro-differential equation system. The suggested established model overcomes two linear equation systems. We prove the existence of the problem’s approximate solutio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/11/1/32 |
| _version_ | 1797625305529057280 |
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| author | Abdelkader Moumen Abdelaziz Mennouni |
| author_facet | Abdelkader Moumen Abdelaziz Mennouni |
| author_sort | Abdelkader Moumen |
| collection | DOAJ |
| description | This work presents a projection method based on Vieta–Lucas polynomials and an effective approach to solve a Cauchy-type fractional integro-differential equation system. The suggested established model overcomes two linear equation systems. We prove the existence of the problem’s approximate solution and conduct an error analysis in a weighted space. The theoretical results are numerically supported. |
| first_indexed | 2024-03-11T09:54:41Z |
| format | Article |
| id | doaj.art-1b4f448892de43148d6735d4dd23ee12 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T09:54:41Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-1b4f448892de43148d6735d4dd23ee122023-11-16T15:52:28ZengMDPI AGMathematics2227-73902022-12-011113210.3390/math11010032A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas PolynomialsAbdelkader Moumen0Abdelaziz Mennouni1Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 55425, Saudi ArabiaDepartment of Mathematics, LTM, University of Batna 2, Mostefa Ben Boulaïd, Fesdis, Batna 05078, AlgeriaThis work presents a projection method based on Vieta–Lucas polynomials and an effective approach to solve a Cauchy-type fractional integro-differential equation system. The suggested established model overcomes two linear equation systems. We prove the existence of the problem’s approximate solution and conduct an error analysis in a weighted space. The theoretical results are numerically supported.https://www.mdpi.com/2227-7390/11/1/32fractional integro-differential equationsCauchy kernelprojection approachVieta–Lucas polynomials |
| spellingShingle | Abdelkader Moumen Abdelaziz Mennouni A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials Mathematics fractional integro-differential equations Cauchy kernel projection approach Vieta–Lucas polynomials |
| title | A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials |
| title_full | A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials |
| title_fullStr | A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials |
| title_full_unstemmed | A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials |
| title_short | A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials |
| title_sort | new projection method for a system of fractional cauchy integro differential equations via vieta lucas polynomials |
| topic | fractional integro-differential equations Cauchy kernel projection approach Vieta–Lucas polynomials |
| url | https://www.mdpi.com/2227-7390/11/1/32 |
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