361 citations · 858 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
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…
On Generalized Nambu Mechanics
Sagar A. Pandit, Anil D. Gangal
A geometric formulation of a generalization of Nambu mechanics is proposed. This formulation is carried out, wherever possible, in analogy with that of Hamiltonian systems. In this…
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…