361 citations · 958 across the 23 of their papers we have counts for
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Definition of fractal measures arising from fractional calculus
Kiran M. Kolwankar, Anil D. Gangal
It is wellknown that the ordinary calculus is inadequate to handle fractal structures and processes and another suitable calculus needs to be developed for this purpose. Recently i…
Studies of fractal structures and processes using methods of fractional calculus
Kiran M. Kolwankar
The thesis deals with applications of fractional calculus to fractals. It introduces the notion of local fractional derivative (LFD). Fractal and multifractal functions have been s…
Holder exponents of irregular signals and local fractional derivatives
Kiran M. Kolwankar, Anil D. Gangal
It has been recognized recently that fractional calculus is useful for handling scaling structures and processes. We begin this survey by pointing out the relevance of the subject…
Fractional differentiability of nowhere differentiable functions and dimensions
Kiran M. Kolwankar, Anil D. Gangal
Weierstrass's everywhere continuous but nowhere differentiable function is shown to be locally continuously fractionally differentiable everywhere for all orders below the `critica…