Fractional Derivative of Hyperbolic Function

Fractional derivative is a generalization of ordinary derivative with non-integer or fractional order. This research presented fractional derivative of hyperbolic function (hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cotangent, hyperbolic secant, and hyperbolic cosecant) with order constraint . The hyperbolic function is presented in Maclaurin series form. Then, the fractional derivative can be determined by using definition of Riemann-Liouville fractional derivative. The result is simulated by using Matlab software

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Publication Details

Journal
Jurnal Matematika Statistika dan Komputasi
Published
2024-09-15
DOI
https://doi.org/10.20956/j.v21i1.35860
Citations
1
Primary Topic
Functional Equations Stability Results
Type
article
Field-Weighted Citation Impact
0.97
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article

Fractional Derivative of Hyperbolic Function

Syifaul Janan, Tuhfatul Janan
1 citations
Jurnal Matematika Statistika dan Komputasi
Functional Equations Stability Results
0.97
article

Fractional Derivative of Hyperbolic Function

Syifaul Janan, Tuhfatul Janan
article en
1 citations

Abstract

Fractional derivative is a generalization of ordinary derivative with non-integer or fractional order. This research presented fractional derivative of hyperbolic function (hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cotangent, hyperbolic secant, and hyperbolic cosecant) with order constraint . The hyperbolic function is presented in Maclaurin series form. Then, the fractional derivative can be determined by using definition of Riemann-Liouville fractional derivative. The result is simulated by using Matlab software

Jurnal Matematika Statistika dan KomputasiVol. 21(1)
Universitas Ahmad Dahlan (ID), Universitas Pembangunan Nasional Veteran Jakarta (ID)
Openalex Percentile: Top 25%
Functional Equations Stability Results
0.97
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Fractional Derivative of Hyperbolic Function — Syifaul Janan, Tuhfatul Janan · Jurnal Matematika Statistika dan Komputasi (2024) | TGRS Research Map | TGRS