Composition Formula for Saigo Fractional Integral Operator Associated with V-Function. (25th April 2022)

• Record Type: Journal Article
• Authors: Chandak, Sunil; Alaria, Anita; Shimelis, Biniyam
• Other Names: Araci Serkan Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-04-25
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/2174708
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this study, we form integral formulas for Saigo's hypergeometric integral operator involving V-function. Corresponding assertions for the classical Riemann–Liouville (R-L) and Erdélyi–Kober (E-K) fractional integral operator are extrapolated. Also, by putting in the transformations of Beta and Laplace, we can establish their composition formulas. By selecting the appropriate parameter values, the V-function may be reduced to a variety of functions, including the exponential function, Mittag–Leffler, Lommel, Struve, Wright's generalized Bessel function, and Bessel and generalized hypergeometric function.