On Refined Netrusophic Fractional Calculus

Mohamed Nedal; Ahmed

doi:https://doi.org/10.54216/IJNS.240201

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Volume 24 • Issue 2 • PP: 08-18 • 2024

On Refined Netrusophic Fractional Calculus

Mohamed Nedal Khatib ^1*

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,

Ahmed Hatip ²

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¹Faculty of Science, Department of Mathematics, Idlib University, Idlib, Syria

²Department of Mathematics, University of Gaziantep, Turkey

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.240201

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Received: October 21, 2023 Revised: February 03, 2024 Accepted: March 28, 2024

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Abstract

Depending on the geometric isometry (AH-Isometry), it has been proven that every Neutrosophic real function is equivalent to three real functions. Then, the foundation of the Refined Netrusophic calculus was established, where new definitions of Refined Netrusophic integration and Refined Netrusophic differentiation were introduced, along with some illustrative examples. Following that, definitions for the Refined Netrusophic gamma function and Refined Netrusophic beta function were presented to pave the way towards achieving the desired goal, which is Refined Netrusophic Fractional calculus.

Keywords

Refined Neutrosophic real function Refined Neutrosophic Integration Refined Neutrosophic Derivative Refined Netrusophic Fractional integral and Refined Netrusophic Fractional Derivative.

References

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Khatib, Mohamed Nedal, Hatip, Ahmed. "On Refined Netrusophic Fractional Calculus." International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 2, 2024, pp. 08-18. DOI: https://doi.org/10.54216/IJNS.240201

Khatib, M., Hatip, A. (2024). On Refined Netrusophic Fractional Calculus. International Journal of Neutrosophic Science, Volume 24(Issue 2), 08-18. DOI: https://doi.org/10.54216/IJNS.240201

Khatib, Mohamed Nedal, Hatip, Ahmed. "On Refined Netrusophic Fractional Calculus." International Journal of Neutrosophic Science Volume 24, no. Issue 2 (2024): 08-18. DOI: https://doi.org/10.54216/IJNS.240201

Khatib, M., Hatip, A. (2024) 'On Refined Netrusophic Fractional Calculus', International Journal of Neutrosophic Science, Volume 24(Issue 2), pp. 08-18. DOI: https://doi.org/10.54216/IJNS.240201

Khatib M, Hatip A. On Refined Netrusophic Fractional Calculus. International Journal of Neutrosophic Science. 2024;Volume 24(Issue 2):08-18. DOI: https://doi.org/10.54216/IJNS.240201

M. Khatib, A. Hatip, "On Refined Netrusophic Fractional Calculus," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 2, pp. 08-18, 2024. DOI: https://doi.org/10.54216/IJNS.240201

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