A Novel Approach for Solving Fractional Differential Equations via a Multistage Telescoping Decomposition Method
This study presents a novel algorithm for solving nonlinear fractional initial value problems, utilizing a multistage telescoping decomposition method (FTDM). By combining the MFTDM with the Elzaki transform, this method significantly improves computational efficiency and accuracy. Through a series of numerical experiments, the proposed approach is demonstrated to be highly practical, reliable and straightforward, offering a robust framework for solving nonlinear fractional differential equations effectively.
Authors
- Rajagopalan Ramaswamy (ORCID: https://orcid.org/0000-0001-9027-0810)
- Özgür Ege (ORCID: https://orcid.org/0000-0002-3877-2714)
- Meltem Erden Ege (ORCID: https://orcid.org/0000-0002-4519-9506)
- Souad Ayadi (ORCID: https://orcid.org/0000-0001-7011-5389)
- Fouzia Chita (ORCID: https://orcid.org/0009-0006-0257-3998)
Institutions
- Prince Sattam Bin Abdulaziz University (SA)
- Ege University (TR)
- Université Djilali Bounaama Khemis Miliana (DZ)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2025-01-22
- DOI
- https://doi.org/10.3390/fractalfract9020065
- Citations
- 2
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 2.74
Funders
- Prince Sattam bin Abdulaziz University