Fractional derivatives of Weierstrass-type functions

✍ Scribed by M. Zähle; H. Ziezold

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 430 KB
• Volume: 76
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(96)00110-0

✦ Synopsis

For a special type of fractional differentiation, formulas for the Weierstrass and the Weierstrass-Mandelbrot functions are shown. For integer valued parameters 2, a well conditioned numerical procedure for computing the derivatives in the mean of these functions is derived and used to compute some values.