New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method
The aim of this work is to solve a numerical computation of the neutral fractional functional integro-differential equation based on a new approach to the Legendre wavelet method. The concept of fractional derivatives was examined in the sense of Caputo. The properties of the Legendre wavelet and fu...
| الحاوية / القاعدة: | AIMS Mathematics |
|---|---|
| المؤلفون الرئيسيون: | , , , |
| التنسيق: | مقال |
| اللغة: | الإنجليزية |
| منشور في: |
AIMS Press
2024-04-01
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://www.aimspress.com/article/doi/10.3934/math.2024694?viewType=HTML |
| _version_ | 1850362415685828608 |
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| author | Kanagaraj Muthuselvan Baskar Sundaravadivoo Kottakkaran Sooppy Nisar Fahad Sameer Alshammari |
| author_facet | Kanagaraj Muthuselvan Baskar Sundaravadivoo Kottakkaran Sooppy Nisar Fahad Sameer Alshammari |
| author_sort | Kanagaraj Muthuselvan |
| collection | DOAJ |
| container_title | AIMS Mathematics |
| description | The aim of this work is to solve a numerical computation of the neutral fractional functional integro-differential equation based on a new approach to the Legendre wavelet method. The concept of fractional derivatives was examined in the sense of Caputo. The properties of the Legendre wavelet and function approximation were employed to determine the approximate solution of a given dynamical system. Moreover, the error estimations and convergence analysis of the truncated Legendre wavelet expansion for the proposed problem were discussed. The validity and applicability of this proposed technique to numerical computation were shown by illustrative examples. Eventually, the results of this technique demonstrate its great effectiveness and reliability. |
| format | Article |
| id | doaj-art-ee380cee77f8469bbdc4f676fa7bf05f |
| institution | Directory of Open Access Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| spelling | doaj-art-ee380cee77f8469bbdc4f676fa7bf05f2025-08-19T23:04:37ZengAIMS PressAIMS Mathematics2473-69882024-04-0196142881430910.3934/math.2024694New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet methodKanagaraj Muthuselvan0Baskar Sundaravadivoo1Kottakkaran Sooppy Nisar 2Fahad Sameer Alshammari31. Department of Mathematics, Alagappa University, Karaikudi 630004, Tamil Nadu, India2. Department of Mathematics, Central University of Tamil Nadu, Thiruvarur 610005, India3. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj 11942, Saudi Arabia 4. Saveetha School of Engineering, SIMATS, Chennai, India3. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj 11942, Saudi ArabiaThe aim of this work is to solve a numerical computation of the neutral fractional functional integro-differential equation based on a new approach to the Legendre wavelet method. The concept of fractional derivatives was examined in the sense of Caputo. The properties of the Legendre wavelet and function approximation were employed to determine the approximate solution of a given dynamical system. Moreover, the error estimations and convergence analysis of the truncated Legendre wavelet expansion for the proposed problem were discussed. The validity and applicability of this proposed technique to numerical computation were shown by illustrative examples. Eventually, the results of this technique demonstrate its great effectiveness and reliability.https://www.aimspress.com/article/doi/10.3934/math.2024694?viewType=HTMLfractional derivativeslegendre waveletnumerical computationerror analysis |
| spellingShingle | Kanagaraj Muthuselvan Baskar Sundaravadivoo Kottakkaran Sooppy Nisar Fahad Sameer Alshammari New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method fractional derivatives legendre wavelet numerical computation error analysis |
| title | New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method |
| title_full | New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method |
| title_fullStr | New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method |
| title_full_unstemmed | New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method |
| title_short | New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method |
| title_sort | new technique for solving the numerical computation of neutral fractional functional integro differential equation based on the legendre wavelet method |
| topic | fractional derivatives legendre wavelet numerical computation error analysis |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024694?viewType=HTML |
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