Basic Analogue of Fractional Derivative and Some Special Functions
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Keywords:
The basic q-analogue, q-integral and differentia operator, Bessel-Maitland function, multiindex Mittag-Leffler function and F-functionAbstract
The main objects of this paper is devoted to the basic analogues of fractional differentiation of classical functions and a theorem on term by term basic analogues of fractional differentiation has been derived, which is an extension of the result given by Yadav and Purohit (2004) [11]. Several special cases are also mentioned.
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