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Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions - MaRDI portal

Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions (Q1003879)

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scientific article; zbMATH DE number 5523305
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English
Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
scientific article; zbMATH DE number 5523305

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    Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions (English)
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    4 March 2009
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    The author gives a short background on the definition of the modified Riemann-Liouville derivative for non-differentiable functions and the related fractional Taylor's series, he displays some formulae involving fractional derivatives. Also some formulae involving integrals with respect to \((dx)^\alpha\) and the Lagrangian technique of constant variation for solving fractional differential equations are presented.
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    fractional calculus
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    modified Riemann-Liouville derivative
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    fractional Taylor's series
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    Mittag-Leffler function
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