Some fractional calculus findings associated with the incomplete I -functions

Advances in Difference Equations

article

Jangid, Kamlesh¹  Bhatter, Sanjay²  Meena, Sapna²  Baleanu, Dumitru³  Al Qurashi, Maysaa⁶  Purohit, Sunil Dutt¹ 

[1] Department of HEAS (Mathematics), Rajasthan Technical University;Department of Mathematics, Malaviya National Institute of Technology;Department of Mathematics, Cankaya University;Institute of Space Sciences;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, College of Science, King Saud University

关键词: Fractional calculus operators;    Incomplete gamma functions;    Incomplete I -functions;    Mellin–Barnes type contour;   

DOI  :  10.1186/s13662-020-02725-7

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY