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An Innovative Analytical Method For Solving The Fractional Caudrey Dodd Gibbon Equation

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  • 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)

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.

Suggested Citation

  • Ahmad El-Ajou & Aliaa Burqan, 2025. "An Innovative Analytical Method For Solving The Fractional Caudrey Dodd Gibbon Equation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(07), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:07:n:s0218348x25500586
    DOI: 10.1142/S0218348X25500586
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