Fractional Scale Calculus: Hadamard vs. Liouville
نویسندگان
چکیده
A general fractional scale derivative is introduced and studied. Its relation with the Hadamard derivatives established reformulated. new similar to Grünwald–Letnikov’s deduced. Tempered versions are also introduced. Scale-invariant systems described exemplified. For solving corresponding differential equations, a logarithmic Mittag-Leffler series proposed.
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*Correspondence: [email protected]; [email protected] 1School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou 550018, P.R. China 2Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, P.R. China Full list of author information is available at the end of the article Abstract Motivated by the definition of geometric-arithmetically s-convex...
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2023
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract7040296