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5 papers
Calculus on fractal subsets of real line - I: formulation
Abhay Parvate, A. D. Gangal
A new calculus based on fractal subsets of the real line is formulated. In this calculus, an integral of order , called -integral, is defined, which is suitabl…
Shape anisotropy and Voids
Gauri R. Pradhan, Sagar A. Pandit, Anil D. Gangal +1
Numerical simulations on a 2-dimensional model system showed that voids are induced primarily due to shape anisotropy in binary mixtures of interacting disks. The results of such a…
Generalized Nambu system on S^3 and spinors
Sagar A. Pandit, Anil D. Gangal
It is shown that the manifold S^3 can be equipped with a natural Nambu structure arising out of a cross product on the tangent space. Further, the group action of SU(2) on S^3 is s…
Momentum maps and Noether theorem for generalized Nambu mechanics
Sagar A. Pandit, Anil D. Gangal
In Ref.~\cite{Sag} we proposed a geometric formulation of generalized Nambu mechanics. In the present paper we extend the class of Nambu systems by replacing the stringent conditio…
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…