Two-step iterative method for nonlinear equations using Caputo-Fabrizio fractional derivatives
Tania Chibchibtania26@gmail.comDepartment of MathematicsUniversity Institute of Sciences (UIS)Chandigarh UniversityMohali, Punjab, 140413, IndiaView full profile → , *Surjeet Singh Chauhan (Gonder)Corresponding authorsurjeetschauhan@yahoo.comDepartment of MathematicsUniversity Institute of Sciences (UIS)Chandigarh UniversityMohali, Punjab, 140413, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Feb 2026
- Published Online:
- 27 Aug 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2644
- Pages:
- 1–9
Abstract
The main objective of this paper is to develop a two-step fractional Newton-Raphson method for solving non-linear equations using the Caputo-Fabrizio fractional derivative. In further detail, we discuss the convergence analysis for the proposed method. In addition to it, we provide an example to compare the method we proposed with the existing approaches.
Keywords
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References
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