Fractional Laplace Transforms - A Perspective
A new form of the Laplace transform is reviewed as a paradigm for an entire class of fractional functional transforms. Various of its properties are discussed. Such transformations should be useful in application to differential/integral equations or problems in non-extensive statistical mechanics.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Frontiers Media S.A.
2014-06-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | http://journal.frontiersin.org/Journal/10.3389/fphy.2014.00029/full |
| _version_ | 1818931294462017536 |
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| author | Rudolf A. Treumann Wolfgang eBaumjohann |
| author_facet | Rudolf A. Treumann Wolfgang eBaumjohann |
| author_sort | Rudolf A. Treumann |
| collection | DOAJ |
| description | A new form of the Laplace transform is reviewed as a paradigm for an entire class of fractional functional transforms. Various of its properties are discussed. Such transformations should be useful in application to differential/integral equations or problems in non-extensive statistical mechanics. |
| first_indexed | 2024-12-20T04:14:18Z |
| format | Article |
| id | doaj.art-250be7f897064f87925e1742c78772d0 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-20T04:14:18Z |
| publishDate | 2014-06-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-250be7f897064f87925e1742c78772d02022-12-21T19:53:50ZengFrontiers Media S.A.Frontiers in Physics2296-424X2014-06-01210.3389/fphy.2014.0002993347Fractional Laplace Transforms - A PerspectiveRudolf A. Treumann0Wolfgang eBaumjohann1Munich UAustrian Academy of SciencesA new form of the Laplace transform is reviewed as a paradigm for an entire class of fractional functional transforms. Various of its properties are discussed. Such transformations should be useful in application to differential/integral equations or problems in non-extensive statistical mechanics.http://journal.frontiersin.org/Journal/10.3389/fphy.2014.00029/fulldifferential equationsStatistical MechanicsKappa distributionsFunctional transformsFractional transformsNon-extensive statistical mechanics |
| spellingShingle | Rudolf A. Treumann Wolfgang eBaumjohann Fractional Laplace Transforms - A Perspective Frontiers in Physics differential equations Statistical Mechanics Kappa distributions Functional transforms Fractional transforms Non-extensive statistical mechanics |
| title | Fractional Laplace Transforms - A Perspective |
| title_full | Fractional Laplace Transforms - A Perspective |
| title_fullStr | Fractional Laplace Transforms - A Perspective |
| title_full_unstemmed | Fractional Laplace Transforms - A Perspective |
| title_short | Fractional Laplace Transforms - A Perspective |
| title_sort | fractional laplace transforms a perspective |
| topic | differential equations Statistical Mechanics Kappa distributions Functional transforms Fractional transforms Non-extensive statistical mechanics |
| url | http://journal.frontiersin.org/Journal/10.3389/fphy.2014.00029/full |
| work_keys_str_mv | AT rudolfatreumann fractionallaplacetransformsaperspective AT wolfgangebaumjohann fractionallaplacetransformsaperspective |