A Novel Approach for Solving Fractional Differential Equations via a Multistage Telescoping Decomposition Method Article Swipe
Related Concepts
Telescoping series
Decomposition
Decomposition method (queueing theory)
Mathematics
Differential (mechanical device)
Differential equation
Applied mathematics
Mathematical analysis
Physics
Discrete mathematics
Chemistry
Organic chemistry
Thermodynamics
Fouzia Chita
,
Souad Ayadi
,
Meltem Erden Ege
,
Özgür Ege
,
Rajagopalan Ramaswamy
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.3390/fractalfract9020065
· OA: W4406733301
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.3390/fractalfract9020065
· OA: W4406733301
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.
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