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 -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 -valent analytic functions involving this operator.•Finally, an application to fluid mechanics is discussed.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11664174PMC
http://dx.doi.org/10.1016/j.mex.2024.103079DOI Listing

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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 -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.

View Article and Find Full Text PDF

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