Showing papers by "Om P. Agrawal published in 2021"
TL;DR: Fractional singular systems defined using mixed integer and Caputo fractional derivative are analyzed in this article, where fractional primary constraints, fractional constrained Hamilton equations and the corresponding Poisson brackets are established.
Abstract: Fractional singular systems defined using mixed integer and Caputo fractional derivative are analyzed. Using these derivatives, fractional primary constraints, fractional constrained Hamilton equations and the corresponding Poisson brackets are established. Several examples are presented to demonstrate applications of the formulations.
5 citations
TL;DR: In this article, the authors studied the properties of eigenvalue for the regular tempered fractional Sturm-Liouville problem (TFSLP) of order $$ \mu $$.
Abstract: In this paper, we study the properties of eigenvalue for the regular tempered fractional Sturm–Liouville problem (TFSLP) of order $$ \mu $$
. Using a fractional variational approach, we show that the set of eigenvalues for TFSLP are infinite, and correspond to unique eigenfunctions. We establish that the eigenvalues of the problem are distinct, and the corresponding eigenfunctions are orthogonal to each other. We also show that the minimum value of the functional corresponding to TFSLP is the lowest eigenvalue.
3 citations
TL;DR: In this paper, the causality between EPS and SP in Indian stock market was analyzed and the relationship regression analysis and cointegration test have been applied with the help of Eviews and sample of 115 companies.
2 citations