Fractional Derivative of Hyperbolic Function

Syifaul Janan; Tuhfatul  Janan

doi:10.20956/j.v21i1.35860

Authors

Syifaul Janan Program Studi Teknik Mesin, Universitas Pembangunan Nasional ”Veteran” Jakarta
Tuhfatul Janan Program Studi Tadris Matematika, Institut Ahmad Dahlan Probolinggo

DOI:

https://doi.org/10.20956/j.v21i1.35860

Keywords:

Maclaurin series, hyperbolic function, fractional derivative

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

References

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