title: New 5-adic Cantor sets and fractal string.
abstract: In the year (1879-1884), George Cantor coined few problems and consequences in the field of set theory. One of them was the Cantor ternary set as a classical example of fractals. In this paper, 5-adic Cantor one-fifth set as an example of fractal string have been introduced. Moreover, the applications of 5-adic Cantor one-fifth set in string theory have also been studied.
authors.affiliation: Department of Mathematics, Maharshi Dayanand University, Rohtak, 124001 Haryana India.
authors.forename: Ashish
authors.initials: A
authors.lastname: Kumar
authors.affiliation: Department of Computer Science, Central University of Rajasthan, Rajasthan, 305801 Rajasthan, India.
authors.forename: Mamta
authors.initials: M
authors.lastname: Rani
authors.affiliation: Department of Mathematics, Maharshi Dayanand University, Rohtak, 124001 Haryana India.
authors.forename: Renu
authors.initials: R
authors.lastname: Chugh
keywords: 11E20; 26A30; 26A80; 26E30; 28A12; 28A80; 28E30; 5-adic Cantor one-fifth set; Cantor one-fifth set; Fractal string; Iterated function system (IFS); p-adic integers