Composition Formulae for thek-Fractional Calculus Operator with theS-Function | Zendy

Hagos Tadesse | Zendy; Haile Habenom | Zendy; Anita Alaria | Zendy; Biniyam Shimelis | Zendy

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Composition Formulae for the

k

-Fractional Calculus Operator with the

S

-Function

Author(s) -

Hagos Tadesse,

Haile Habenom,

Anita Alaria,

Biniyam Shimelis

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/7379820

Subject(s) - mathematics , fractional calculus , hypergeometric function , operator (biology) , function (biology) , kernel (algebra) , calculus (dental) , algebra over a field , pure mathematics , biochemistry , chemistry , dentistry , repressor , transcription factor , gene , evolutionary biology , biology , medicine

In this study, the S-function is applied to Saigo’s k -fractional order integral and derivative operators involving the k -hypergeometric function in the kernel; outcomes are described in terms of the k -Wright function, which is used to represent image formulas of integral transformations such as the beta transform. Several special cases, such as the fractional calculus operator and the S -function, are also listed.

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