Solution of variable order fractional differential equations using Homotopy Analysis Method
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914473247244288 |
|---|---|
| author | Mishra, Vivek Das, S. |
| author_facet | Mishra, Vivek Das, S. |
| contents | In the present article an endeavor is made to solve the variable order fractional diffusion equations using a powerful method viz., Homotopy Analysis method. It is demonstrated how the method can be used while solving approximately two types of variable order fractional diffusion equations having physical importance. Numerical simulation results show that the method is reliable and effective for solving fractional order diffusion equations even when the order of the derivative is varying with respect to space or time or both or it is dependent upon some other parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13080 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Solution of variable order fractional differential equations using Homotopy Analysis Method Mishra, Vivek Das, S. General Mathematics In the present article an endeavor is made to solve the variable order fractional diffusion equations using a powerful method viz., Homotopy Analysis method. It is demonstrated how the method can be used while solving approximately two types of variable order fractional diffusion equations having physical importance. Numerical simulation results show that the method is reliable and effective for solving fractional order diffusion equations even when the order of the derivative is varying with respect to space or time or both or it is dependent upon some other parameters. |
| title | Solution of variable order fractional differential equations using Homotopy Analysis Method |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2604.13080 |