A Novel Approach for Solving Fractional Differential Equations via a Multistage Telescoping Decomposition Method

Fouzia Chita; Souad Ayadi; Meltem Erden Ege; Ozgur Ege; Rajagopalan Ramaswamy

doi:10.3390/fractalfract9020065

A Novel Approach for Solving Fractional Differential Equations via a Multistage Telescoping Decomposition Method

Fouzia Chita
, Souad Ayadi
, Meltem Erden Ege
, Ozgur Ege
, Rajagopalan Ramaswamy

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Article number	65
Journal	Fractal and Fractional
Volume	9
Issue number	2
DOIs	https://doi.org/10.3390/fractalfract9020065
State	Published - Feb 2025

Keywords

Caputo fractional derivative
Elzaki transform
multistage telescoping decomposition method
nonlinear fractional differential equations

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10.3390/fractalfract9020065

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abstract = "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.",

keywords = "Caputo fractional derivative, Elzaki transform, multistage telescoping decomposition method, nonlinear fractional differential equations",

author = "Fouzia Chita and Souad Ayadi and \{Erden Ege\}, Meltem and Ozgur Ege and Rajagopalan Ramaswamy",

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AU - Chita, Fouzia

AU - Ayadi, Souad

AU - Erden Ege, Meltem

AU - Ege, Ozgur

AU - Ramaswamy, Rajagopalan

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 - https://www.scopus.com/pages/publications/85218851251

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DO - 10.3390/fractalfract9020065

M3 - Article

AN - SCOPUS:85218851251

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JF - Fractal and Fractional

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ER -

A Novel Approach for Solving Fractional Differential Equations via a Multistage Telescoping Decomposition Method

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Keywords

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