Fractional differential calculus for non-differentiable functions
Guy Jumarie
Broschiertes Buch

Fractional differential calculus for non-differentiable functions

Mechanics, Geometry, Stochastics, Information Theory

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General purpose.Most books which deal with fractional derivative refer to the Riemann-Liouvile definition in terms of integral: one first defines integral and then one defines derivative. On the contrary, this book provides a systematic self-contained presentation of fractional calculus, via fractional difference, and expands a fractional differential calculus which is quite parallel to the Leibniz calculus (therefore the expression of fractional differential calculus) and which is also quite physically meaningful. Whilst the standard fractional calculus applies to differentiable functions onl...