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…
Disordered Totally Asymmetric Simple Exclusion Process: Exact Results
Kiran M. Kolwankar, Alexander Punnoose
We study the effect of quenched spatial disorder on the current-carrying steady states of the totally asymmetric simple exclusion process with spatially disordered jump rates. The…
Local fractional Fokker-Planck equation
Kiran M. Kolwankar, Anil D. Gangal
New kind of differential equations, called local fractional differential equations, has been proposed for the first time. They involve local fractional derivatives introduced recen…
Local Fractional Derivatives and Fractal Functions of Several Variables
Kiran M. Kolwankar, Anil D. Gangal
The notion of a local fractional derivative (LFD) was introduced recently for functions of a single variable. LFD was shown to be useful in studying fractional differentiability pr…