AUTHOR=Treumann Rudolf A. , Baumjohann Wolfgang TITLE=Fractional Laplace transforms—a perspective JOURNAL=Frontiers in Physics VOLUME=2 YEAR=2014 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2014.00029 DOI=10.3389/fphy.2014.00029 ISSN=2296-424X ABSTRACT=

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.