Abstract
The object of the present paper is to investigate generalizations of the hypergeometric function and Srivastava fractional integral calculus by using a general version of gamma function(namely (r,k)-gamma function).•Some fundamental results for these new concepts are provided.•We introduced differential subordination and superordination results associated with the defined new fractional integral operator.•Also, we establish sandwich results for p-valent analytic functions involving this operator.•Finally, an application to fluid mechanics is discussed.
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