Fractional Integral and Derivative Formulas by Using Marichev-Saigo-Maeda Operators Involving the S-Function
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DOI: 10.1155/2019/6487687
Abstract: We establish fractional integral and derivative formulas by using Marichev-Saigo-Maeda operators involving the S-function. The results are expressed in terms of the generalized Gauss hypergeometric functions. Corresponding assertions in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and… read more here.
Keywords: using marichev; marichev saigo; derivative formulas; integral derivative ... See more keywords
Some Fractional Integral and Derivative Formulas Revisited
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DOI: 10.3390/math12172786
Abstract: In the most common literature about fractional calculus, we find that Dtαaft=It−αaft is assumed implicitly in the tables of fractional integrals and derivatives. However, this is not straightforward from the definitions of Itαaft and Dtαaft.… read more here.
Keywords: derivative formulas; formulas revisited; fractional integral; integral derivative ... See more keywords