On the local fractional derivative

Fractional differentiation for edge detection

B. Mathieu, Pierre Melchior, A. Oustaloup et al. · Signal Processing · 2003 · 376 citations

Machine Vision, Image Analysis, Feature Detection +7

Fractional differentiability of nowhere differentiable functions and dimensions

Kiran M. Kolwankar, Anil D. Gangal · Chaos An Interdisciplinary Journal of Nonlinear Science · 1996 · 348 citations · Full text

Local properties of solutions of elliptic partial differential equations

A. P. Calderón, A. Zygmund · Studia Mathematica · 1961 · 236 citations · Full text

Monge-ampere Equation, Elliptic Equation, Local Properties +1

On calculus of local fractional derivatives

Abolfazl Babakhani, Varsha Daftardar‐Gejji · Journal of Mathematical Analysis and Applications · 2002 · 170 citations

Fractional-order System, Local Fractional Derivatives, Calculus Of Variation +1

Hölder exponents of irregular signals and local fractional derivatives

Kiran M. Kolwankar, Anil D. Gangal · Pramana · 1997 · 153 citations · Full text

Fractional-order System, Hölder Exponents, Functional Analysis +2