Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7155204 | Communications in Nonlinear Science and Numerical Simulation | 2016 | 14 Pages |
Abstract
In this manuscript, we have generalized Fα-calculus using the gauge integral method for the integrating of the functions on fractal set subset of real-line where they have singularities. The suggested new method leads to the wider class of functions on the fractal subset of real-line that are *Fα-integrable. Using gauge function we define *Fα-derivative of functions their Fα-derivative is not exist. The reported results can be used for generalizing the fundamental theorem of Fα-calculus.
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Authors
Alireza K. Golmankhaneh, Dumitru Baleanu,