On finding exact and approximate solutions to fractional systems of ordinary differential equations using fractional natural adomian decomposition method
In this work, we present proofs for new theorems that deal with natural transform method (NTM) with Caputo derivative. Also, we give exact and approximate solutions to systems of fractional differential equations along with fractional ordinary and partial differential equations using the fractional...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2022-04-01
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| Series: | Journal of Algorithms & Computational Technology |
| Online Access: | https://doi.org/10.1177/17483026221091400 |
| _version_ | 1818061564119351296 |
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| author | Mahmoud S. Alrawashdeh Seba Migdady |
| author_facet | Mahmoud S. Alrawashdeh Seba Migdady |
| author_sort | Mahmoud S. Alrawashdeh |
| collection | DOAJ |
| description | In this work, we present proofs for new theorems that deal with natural transform method (NTM) with Caputo derivative. Also, we give exact and approximate solutions to systems of fractional differential equations along with fractional ordinary and partial differential equations using the fractional natural decomposition method (FNDM). The Caputo derivative is used here to minimize the amount of computational, and this is of great significance for large-scale problems. The work outlines the significant features of the FNDM. Our work can be considered as another technique to existing methods, and will have many applications in variant areas of science and engineering. |
| first_indexed | 2024-12-10T13:50:19Z |
| format | Article |
| id | doaj.art-fbbdf45702f847e09d1b41e33a29fb8d |
| institution | Directory Open Access Journal |
| issn | 1748-3026 |
| language | English |
| last_indexed | 2024-12-10T13:50:19Z |
| publishDate | 2022-04-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Algorithms & Computational Technology |
| spelling | doaj.art-fbbdf45702f847e09d1b41e33a29fb8d2022-12-22T01:46:13ZengSAGE PublishingJournal of Algorithms & Computational Technology1748-30262022-04-011610.1177/17483026221091400On finding exact and approximate solutions to fractional systems of ordinary differential equations using fractional natural adomian decomposition methodMahmoud S. AlrawashdehSeba MigdadyIn this work, we present proofs for new theorems that deal with natural transform method (NTM) with Caputo derivative. Also, we give exact and approximate solutions to systems of fractional differential equations along with fractional ordinary and partial differential equations using the fractional natural decomposition method (FNDM). The Caputo derivative is used here to minimize the amount of computational, and this is of great significance for large-scale problems. The work outlines the significant features of the FNDM. Our work can be considered as another technique to existing methods, and will have many applications in variant areas of science and engineering.https://doi.org/10.1177/17483026221091400 |
| spellingShingle | Mahmoud S. Alrawashdeh Seba Migdady On finding exact and approximate solutions to fractional systems of ordinary differential equations using fractional natural adomian decomposition method Journal of Algorithms & Computational Technology |
| title | On finding exact and approximate solutions to fractional systems of ordinary differential equations using fractional natural adomian decomposition method |
| title_full | On finding exact and approximate solutions to fractional systems of ordinary differential equations using fractional natural adomian decomposition method |
| title_fullStr | On finding exact and approximate solutions to fractional systems of ordinary differential equations using fractional natural adomian decomposition method |
| title_full_unstemmed | On finding exact and approximate solutions to fractional systems of ordinary differential equations using fractional natural adomian decomposition method |
| title_short | On finding exact and approximate solutions to fractional systems of ordinary differential equations using fractional natural adomian decomposition method |
| title_sort | on finding exact and approximate solutions to fractional systems of ordinary differential equations using fractional natural adomian decomposition method |
| url | https://doi.org/10.1177/17483026221091400 |
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