Turunan Fraksional dari Fungsi Hiperbolik

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

JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Vol. 21 No. 1 (2024): SEPTEMBER 2024

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