Pathway to Fractional Integrals, Fractional Differential Equations and the Role of H-function
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910452674461696 |
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| author | Mathai, Arak M. Haubold, Hans J. |
| author_facet | Mathai, Arak M. Haubold, Hans J. |
| contents | 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, reaction-rate probability integral, Kraetzel transform, and pathway transform are explored. It is shown that the common thread in these connections is the H-function representations. The pathway parameter is shown to be connected to the fractional order in fractional integrals and fractional differential equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11050 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pathway to Fractional Integrals, Fractional Differential Equations and the Role of H-function Mathai, Arak M. Haubold, Hans J. Statistical Mechanics Mathematical Physics 26A33, 26B15, 33C99, 33E12, 49K05, 62E15, 94A15 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, reaction-rate probability integral, Kraetzel transform, and pathway transform are explored. It is shown that the common thread in these connections is the H-function representations. The pathway parameter is shown to be connected to the fractional order in fractional integrals and fractional differential equations. |
| title | Pathway to Fractional Integrals, Fractional Differential Equations and the Role of H-function |
| topic | Statistical Mechanics Mathematical Physics 26A33, 26B15, 33C99, 33E12, 49K05, 62E15, 94A15 |
| url | https://arxiv.org/abs/2405.11050 |