Some miscellaneous properties and applications of certain operators of fractional calculus (Q536475)

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scientific article; zbMATH DE number 5896869
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Some miscellaneous properties and applications of certain operators of fractional calculus
scientific article; zbMATH DE number 5896869

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    Some miscellaneous properties and applications of certain operators of fractional calculus (English)
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    18 May 2011
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    From the abstract: The main object of this paper is to consider some miscellaneous properties and applications which are associated with several fractional differintegral operators. We investigate, in a systematic and unified manner, various families of series identities which emerged in connection with some fractional differintegral formulas. By using such operators of fractional calculus, a number of integral formulas as well as fractional differintegral formulas involving inverse hyperbolic functions are also evaluated.
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    fractional integral: fractional derivative
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    generalized hypergeometric function
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    inverse hyperbolic function
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