This paper provides an analytic solution ofRLelectrical circuit described by a fractional differential equation of the order0<α≤1. We use the Laplace transform of the fractional derivative in the Caputo sense. Some special cases for the different source terms have also been discussed.

The present paper deals with the results involving Generalized Mittag-Leffler function by using Laplace Transform. Mathematics Subject Classification: 33E12, 44A10

Both akinetic and hyperkinetic movement disorders may rarely be the presenting feature of human immunodeficiency virus (HIV) infection. The possible pathogenic basis is the involvement of subcortical structures by the HIV infection-related pathology. Opportunistic infections, or mass lesions complicating HIV infection. In addition dopaminergic dysfunction and medications may also play a role. We report a HIV infected male who presented with progressive choreoathetoid movements and dystonia. He had remarkable improvement of the movement disorder with tetrabenazine and anti-retroviral therapy (HAART) treatment.

In this article we extend the computational geometric curve reconstruction approach to curves in Riemannian manifolds. We prove that the minimal spanning tree, given a sufficiently dense sample set of a curve, correctly reconstructs the smooth arcs and further closed and simple curves in Riemannian manifolds. The proof is based on the behaviour of the curve segment inside the tubular neighbourhood of the curve. To take care of the local topological changes of the manifold, the tubular neighbourhood is constructed in consideration with the injectivity radius of the underlying Riemannian manifold. We also present examples of successfully reconstructed curves and show applications of curve reconstruction to ordering motion frames.

In this paper, we propose a solution of fractional logistic equation by using properties of Mittag-Leffler function.