Anil D. Gangal

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Weierstrass's everywhere continuous but nowhere differentiable function is shown to be locally continuously fractionally differentiable everywhere for all orders below the 'critical order' 2 − s and not so for orders between 2 − s and 1, where s, 1 < s < 2, is the box dimension of the graph of the function. This observation is consolidated in the general(More)
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 to physical situations. Then the essential definitions and formulae from fractional calculus are summarized and their immediate use in the study of scaling in physical systems is(More)
Weierstrass's everywhere continuous but nowhere diierentiable function is shown to be locally continuously fractionally diierentiable everywhere for all orders below thècritical order' 2?s and not so for orders between 2?s and 1, where s, 1 < s < 2, is the box dimension of the graph of the function. This observation is consolidated in the general result(More)
Membrane proteins exhibit charge anisotropy across the bilayer with the vector positive inwards. The proton pumps, primary or secondary, which have been examined as a subset of these membrane proteins, also reveal charge anisotropy based on their sequence data. The direction of the anisotropy appears to satisfy the observed directional gradient of protons(More)
A new calculus on fractal curves, such as the von Koch curve, is formulated. We define a Riemann-like integral along a fractal curve F , called F α-integral, where α is the dimension of F. A derivative along the fractal curve called F α-derivative, is also defined. The mass function, a measure-like algorithmic quantity on the curves, plays a central role in(More)
We propose a 2-d computational model-system comprising a mixture of spheres and the objects of some other shapes, interacting via the Lennard-Jones potential. We propose a reliable and efficient numerical algorithm to obtain void statistics. The void distribution, in turn, determines the selective permeability across the system and bears a remarkable(More)
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