TY - JOUR
T1 - A Novel Approach for Solving Fractional Differential Equations via a Multistage Telescoping Decomposition Method
AU - Chita, Fouzia
AU - Ayadi, Souad
AU - Erden Ege, Meltem
AU - Ege, Ozgur
AU - Ramaswamy, Rajagopalan
N1 - Publisher Copyright:
© 2025 by the authors.
PY - 2025/2
Y1 - 2025/2
N2 - 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.
AB - 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.
KW - Caputo fractional derivative
KW - Elzaki transform
KW - multistage telescoping decomposition method
KW - nonlinear fractional differential equations
UR - http://www.scopus.com/inward/record.url?scp=85218851251&partnerID=8YFLogxK
U2 - 10.3390/fractalfract9020065
DO - 10.3390/fractalfract9020065
M3 - Article
AN - SCOPUS:85218851251
SN - 2504-3110
VL - 9
JO - Fractal and Fractional
JF - Fractal and Fractional
IS - 2
M1 - 65
ER -