A new representation formula for the Hilfer fractional derivative and its application

Authors :: Rafał Kamocki
Source :: Journal of Computational and Applied Mathematics. 308:39-45
Publication Year :: 2016
Publisher :: Elsevier BV, 2016.
Abstract: In the paper, we derive an equivalent definition of the generalized Riemann-Liouville derivative (derivative in the Hilfer sense). Next, we show that the new formula for such derivative is very useful in practical applications.

Subjects :: Liouville's formula
Applied Mathematics
010102 general mathematics
Mathematical analysis
01 natural sciences
Fractional calculus
010101 applied mathematics
Computational Mathematics
chemistry.chemical_compound
chemistry
Generalizations of the derivative
Applied mathematics
0101 mathematics
Representation (mathematics)
Derivative (chemistry)
Mathematics

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