Some fractional calculus findings associated with the incomplete I-functions

Some fractional calculus findings associated with the incomplete I-functions

Abstract In this article, several interesting properties of the incomplete I-functions associated with the Marichev–Saigo–Maeda (MSM) fractional operators are studied and investigated. It is presented that the order of the incomplete I-functions increases about the utilization of the above-mentioned...

Full description

Bibliographic Details
Main Authors: Kamlesh Jangid, Sanjay Bhatter, Sapna Meena, Dumitru Baleanu, Maysaa Al Qurashi, Sunil Dutt Purohit
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Advances in Difference Equations
Subjects:
Fractional calculus operators
Incomplete gamma functions
Incomplete I-functions
Mellin–Barnes type contour
Online Access:http://link.springer.com/article/10.1186/s13662-020-02725-7
Description
Summary:Abstract In this article, several interesting properties of the incomplete I-functions associated with the Marichev–Saigo–Maeda (MSM) fractional operators are studied and investigated. It is presented that the order of the incomplete I-functions increases about the utilization of the above-mentioned operators toward the power multiple of the incomplete I-functions. Further, the Caputo-type MSM fractional order differentiation for the incomplete I-functions is studied and investigated. Saigo, Riemann–Liouville, and Erdélyi–Kober fractional operators are also discussed as specific cases.
ISSN:1687-1847

Similar Items