Local fractional Laplace transform iterative method for solving Korteweg–de Vries equation with the local fractional derivative
The local fractional Korteweg–de Vries equations were considered in this paper. Series solutions for the linear and nonlinear case were examined using the local fractional Laplace transform iterative method. This proposed method is the coupling of the local fractional Laplace transform with the new...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2024-12-01
|
| Series: | International Journal of Mathematics for Industry |
| Subjects: | |
| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335224500138 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850253627076116480 |
|---|---|
| author | Gbenga O. Ojo John O. Olaifa |
| author_facet | Gbenga O. Ojo John O. Olaifa |
| author_sort | Gbenga O. Ojo |
| collection | DOAJ |
| description | The local fractional Korteweg–de Vries equations were considered in this paper. Series solutions for the linear and nonlinear case were examined using the local fractional Laplace transform iterative method. This proposed method is the coupling of the local fractional Laplace transform with the new iterative method. The existence and uniqueness of the solutions is considered using the principle of mathematical induction. Furthermore, illustrative examples were considered and the graphs are shown. The results obtained in this study reveal the benefit of this method and provide valuable insight into the behavior of complex phenomena in a precise and efficient manner with less computational work and implementation ease. |
| format | Article |
| id | doaj-art-434e7b27f7194eaba405545c52b3bc61 |
| institution | OA Journals |
| issn | 2661-3352 2661-3344 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj-art-434e7b27f7194eaba405545c52b3bc612025-08-20T01:57:20ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442024-12-0116Supp0110.1142/S2661335224500138Local fractional Laplace transform iterative method for solving Korteweg–de Vries equation with the local fractional derivativeGbenga O. Ojo0John O. Olaifa1Information System Engineering, Faculty of Engineering, Cyprus West University, Ismet Inonu Blv 29, Via Mersin 10, 99450, Gazimagusa, TurkiyeDepartment of Computer Engineering, Faculty of Engineering, Eastern Mediterranean University, Ismet Inonu Blv, Via Mersin 10, 99628, Gazimagusa, TurkiyeThe local fractional Korteweg–de Vries equations were considered in this paper. Series solutions for the linear and nonlinear case were examined using the local fractional Laplace transform iterative method. This proposed method is the coupling of the local fractional Laplace transform with the new iterative method. The existence and uniqueness of the solutions is considered using the principle of mathematical induction. Furthermore, illustrative examples were considered and the graphs are shown. The results obtained in this study reveal the benefit of this method and provide valuable insight into the behavior of complex phenomena in a precise and efficient manner with less computational work and implementation ease.https://www.worldscientific.com/doi/10.1142/S2661335224500138Fractional calculusLaplace transformlocal fractional Laplace transform iterative methodlocal fractional derivativefractional Korteweg–de Vries equation |
| spellingShingle | Gbenga O. Ojo John O. Olaifa Local fractional Laplace transform iterative method for solving Korteweg–de Vries equation with the local fractional derivative International Journal of Mathematics for Industry Fractional calculus Laplace transform local fractional Laplace transform iterative method local fractional derivative fractional Korteweg–de Vries equation |
| title | Local fractional Laplace transform iterative method for solving Korteweg–de Vries equation with the local fractional derivative |
| title_full | Local fractional Laplace transform iterative method for solving Korteweg–de Vries equation with the local fractional derivative |
| title_fullStr | Local fractional Laplace transform iterative method for solving Korteweg–de Vries equation with the local fractional derivative |
| title_full_unstemmed | Local fractional Laplace transform iterative method for solving Korteweg–de Vries equation with the local fractional derivative |
| title_short | Local fractional Laplace transform iterative method for solving Korteweg–de Vries equation with the local fractional derivative |
| title_sort | local fractional laplace transform iterative method for solving korteweg de vries equation with the local fractional derivative |
| topic | Fractional calculus Laplace transform local fractional Laplace transform iterative method local fractional derivative fractional Korteweg–de Vries equation |
| url | https://www.worldscientific.com/doi/10.1142/S2661335224500138 |
| work_keys_str_mv | AT gbengaoojo localfractionallaplacetransformiterativemethodforsolvingkortewegdevriesequationwiththelocalfractionalderivative AT johnoolaifa localfractionallaplacetransformiterativemethodforsolvingkortewegdevriesequationwiththelocalfractionalderivative |