Integration and differentiation to a variable fractional order
Stefan Samkoa Department of Mathematics , University of New Haven , 300 Orange Avenue, West Haven , Connecticut , 06516 , USABertram Rossa Department of Mathematics , University of New Haven , 300 Orange Avenue, West Haven , Connecticut , 06516 , USA
1993en
ABI
Аннотация
Interpretation and differentiation of functions to a variable order (d/dx)nf(x) is studied in two ways: 1) using the Riemann-Liouville definition, 2) using Fourier transforms. Some properties and the inversion formula are obtained.
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