Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform Method
In this work, we applied the fractional reduced differential transform method (FRDTM) to find the exact solutions of the three-dimensional fractional Helmholtz equation (FHE) and compared our outcomes with the tenth-order approximate solutions for diverse fractional orders. Different values of fract...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/7374751 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562394847510528 |
|---|---|
| author | Saleh Alshammari Salah Abuasad |
| author_facet | Saleh Alshammari Salah Abuasad |
| author_sort | Saleh Alshammari |
| collection | DOAJ |
| description | In this work, we applied the fractional reduced differential transform method (FRDTM) to find the exact solutions of the three-dimensional fractional Helmholtz equation (FHE) and compared our outcomes with the tenth-order approximate solutions for diverse fractional orders. Different values of fractional derivatives are signified explicitly in three dimensions. Outcomes are denoted in the tables for nonfractional exact and approximate solutions and fractional approximate solutions for different fractional orders. Two examples are given to prove the proficiency of the suggested method, to resolve diverse categories of fractional partial differential equations. |
| format | Article |
| id | doaj-art-39eee602cb554b3693692c0200c6235c |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-39eee602cb554b3693692c0200c6235c2025-02-03T01:22:44ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7374751Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform MethodSaleh Alshammari0Salah Abuasad1Department of MathematicsSchool of Mathematical SciencesIn this work, we applied the fractional reduced differential transform method (FRDTM) to find the exact solutions of the three-dimensional fractional Helmholtz equation (FHE) and compared our outcomes with the tenth-order approximate solutions for diverse fractional orders. Different values of fractional derivatives are signified explicitly in three dimensions. Outcomes are denoted in the tables for nonfractional exact and approximate solutions and fractional approximate solutions for different fractional orders. Two examples are given to prove the proficiency of the suggested method, to resolve diverse categories of fractional partial differential equations.http://dx.doi.org/10.1155/2022/7374751 |
| spellingShingle | Saleh Alshammari Salah Abuasad Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform Method Journal of Function Spaces |
| title | Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform Method |
| title_full | Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform Method |
| title_fullStr | Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform Method |
| title_full_unstemmed | Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform Method |
| title_short | Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform Method |
| title_sort | exact solutions of the 3d fractional helmholtz equation by fractional differential transform method |
| url | http://dx.doi.org/10.1155/2022/7374751 |
| work_keys_str_mv | AT salehalshammari exactsolutionsofthe3dfractionalhelmholtzequationbyfractionaldifferentialtransformmethod AT salahabuasad exactsolutionsofthe3dfractionalhelmholtzequationbyfractionaldifferentialtransformmethod |