Some fractional calculus findings associated with the incomplete I-functions

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 operat...

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Vydáno v:Advances in difference equations Ročník 2020; číslo 1; s. 1 - 24
Hlavní autoři: Jangid, Kamlesh, Bhatter, Sanjay, Meena, Sapna, Baleanu, Dumitru, Al Qurashi, Maysaa, Purohit, Sunil Dutt
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 04.06.2020
Springer Nature B.V
SpringerOpen
Témata:
Analysis
Applications
Difference and Functional Equations
Fractional calculus
Fractional calculus operators
Functional Analysis
Incomplete gamma functions
Incomplete I-functions
Mathematics
Mathematics and Statistics
Mellin–Barnes type contour
Methods
Operators (mathematics)
Ordinary Differential Equations
Partial Differential Equations
Topics in Special Functions and q-Special Functions: Theory
Incomplete
functions
33E20
33B20
Fractional calculus operators
Mellin–Barnes type contour
26A33
Incomplete gamma functions
ISSN:1687-1847, 1687-1839, 1687-1847
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Popis
Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02725-7