AN INNOVATIVE ANALYTICAL METHOD FOR SOLVING THE FRACTIONAL CAUDREY DODD GIBBON EQUATION

Ahmad El-Ajou and Aliaa Burqan
Additional contact information
Ahmad El-Ajou: Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt 19117, Jordan
Aliaa Burqan: ��Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan

FRACTALS (fractals), 2025, vol. 33, issue 07, 1-14

Abstract: This paper introduces an innovative analytical technique known as the limit residual function method to solve the fractional Caudrey Dodd Gibbon equation, which describes and interprets various chemical, physical, and biological processes. Our approach produces a fractional power series solution that converges rapidly with less computational effort than other methods. This is accomplished by using the residual function and the limit concepts to determine the power series solution coefficients without the need to transform the target equations into different spaces or compute the derivative. We demonstrate the efficiency and reliability of our method through accompanying graphical representations.

Keywords: Partial Differential Equations; Fractional Derivative and Integral; Power Series (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X25500586
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:33:y:2025:i:07:n:s0218348x25500586

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X25500586

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().