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Journal of Interdisciplinary Mathematics cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

The efficacy of a new fixed point method in nonlinear equation solutions

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pp. 135–143Vol. 27Issue 1February 2024DOI: 10.47974/JIM-1759XML
Received:
11 Apr 2023
Published Online:
27 Feb 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1759
Pages:
135–143

Abstract

The key objective of this research is to establish a new approach to the classical fixed point method for solving nonlinear equations by using the new theorem of a-fixed point established in [1] and the conformable fractional derivative defined in [6]. As an application, we establish a new a-fixed point algorithm as a numerical result.

Keywords

Subject Classifications

[2010] 26A3354H2565Yxx

References

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[2] R.Azennar, D.Mentagui. On some properties of the conformable fractional derivative. Moroccan J. of Pure and Appl. Anal. (MJPAA) Volume 6(2), Pages 56-63 (2020). 
[3] Banach, S., Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales. Fund.math. 3, 133-181 (1922). 
[4] P.L. Butzer, A.A. Kilbas, J.J. Trujillo, Fractional calculus in the Mellin setting and Hadamard-type fractional integrals, Journal of Mathematical Analysis and Applications 269, 1-27 (2002). 
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[6] R. Khalil, M. Al Horani, A. Yousef , M. Sababhehb. A new definition of fractional derivative. Journal of Computational and Applied Mathematics 264, 65-70 (2014). 
[7] A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier B.V., Amsterdam, Netherlands (2006). 
[8] Podlubny, Fractional differential equations, academic Press, USA (1999). 
[9] Samet Erden and Mehmet Zeki Sarikaya. Pre-GrÜss inequality involving conformable fractional integrals and its applications for random variables, Journal of Interdisciplinary Mathematics, 22:5, 757-771 (2019), DOI: 10.1080/09720502.2019.1675289. 
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