A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations
The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo's H-differentiability. The analytic and approximate solutions are given in series form...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52289 |
| _version_ | 1797633576615804928 |
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| author | Shatha Hasan Banan Maayah Samia Bushnaq Shaher Momani |
| author_facet | Shatha Hasan Banan Maayah Samia Bushnaq Shaher Momani |
| author_sort | Shatha Hasan |
| collection | DOAJ |
| description |
The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo's H-differentiability. The analytic and approximate solutions are given in series form in term of their parametric form in the space $W_2^2 [a,b] \bigoplus W_2^2 [a,b]$. Several examples are carried out to show the effectiveness and the absence of complexity of the proposed method.
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| first_indexed | 2024-03-11T11:55:50Z |
| format | Article |
| id | doaj.art-69b0166302aa4c4e96a87ba121b7d377 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:55:50Z |
| publishDate | 2022-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-69b0166302aa4c4e96a87ba121b7d3772023-11-08T19:14:03ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.52289A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equationsShatha Hasan0Banan Maayah1Samia Bushnaq2Shaher Momani3Al-Balqa Applied UniversityThe University of JordanPrincess Sumayia University of Science and TechnologyAjman University The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo's H-differentiability. The analytic and approximate solutions are given in series form in term of their parametric form in the space $W_2^2 [a,b] \bigoplus W_2^2 [a,b]$. Several examples are carried out to show the effectiveness and the absence of complexity of the proposed method. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52289 |
| spellingShingle | Shatha Hasan Banan Maayah Samia Bushnaq Shaher Momani A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations Boletim da Sociedade Paranaense de Matemática |
| title | A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations |
| title_full | A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations |
| title_fullStr | A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations |
| title_full_unstemmed | A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations |
| title_short | A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations |
| title_sort | modified reproducing kernel hilbert space method for solving fuzzy fractional integro differential equations |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52289 |
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