A Novel Approach for Solving Fractional Differential Equations via a Multistage Telescoping Decomposition Method
Articles > Article · 2025
Authors: FOUZIA CHITA, SOUAD AYADI, MELTEM ERDEN EGE, Özgür EGE, RAJAGOPALAN RAMASWAMY
Fractal and Fractional, Journal Indexed in SCI Expanded, International, WoS, 2025, vol 9, pp 65-65
DOI: 10.3390/fractalfract9020065
Summary
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.