On generalized composite fractional \(q\)-derivative (Q2813381)

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scientific article; zbMATH DE number 6597763
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On generalized composite fractional \(q\)-derivative
scientific article; zbMATH DE number 6597763

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    24 June 2016
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    \(q\)-Laplace transform
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    fractional \(q\)-derivative
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    \(q\)-difference equation
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    On generalized composite fractional \(q\)-derivative (English)
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    The authors define a new fractional \(q\)-derivative termed as a generalized composite fractional \(q\)-derivative. They consider some useful basic results for it, and also obtain solutions of a \(q\)-difference equation with this \(q\)-derivative, using the \(q\)-Laplace transform and its inverse.
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