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Pathway to Fractional Integrals, Fractional Differential Equations, and Role of the H-Function
oleh: Arak M. Mathai, Hans J. Haubold
| Format: | Article |
|---|---|
| Diterbitkan: | MDPI AG 2024-08-01 |
Deskripsi
In this paper, the pathway model for the real scalar variable case is re-explored and its connections to fractional integrals, solutions of fractional differential equations, Tsallis statistics and superstatistics in statistical mechanics, the reaction-rate probability integral, Krätzel transform, pathway transform, etc., are explored. It is shown that the common thread in these connections is their H-function representations. The pathway parameter is shown to be connected to the fractional order in fractional integrals and fractional differential equations.