Differential subordination and superordination results for p-valent analytic functions associated with (r,k)-Srivastava fractional integral calculus
2024
New Results on (r, k, μ)-Riemann–Liouville Fractional Operators in Complex Domain with Applications
publication
Evidence: high
Author Information
Author(s): Tayyah Adel Salim, Atshan Waggas Galib
Primary Institution: University of Al-Qadisiyah
Hypothesis
The paper aims to generalize Srivastava fractional integral calculus through the (r,k)-hypergeometric function.
Conclusion
The study successfully extends Srivastava's fractional integral calculus and presents new insights into fractional calculus and its applications.
Supporting Evidence
- The study introduces differential subordination and superordination results associated with a newly defined fractional integral operator.
- Fundamental results for the (r,k)-hypergeometric function are established, broadening the scope of fractional calculus.
- Applications to fluid mechanics demonstrate the practical implications of the new fractional operator.
Takeaway
This research is about using a special math function to improve how we understand and use fractional calculus, which is important for things like fluid mechanics.
Methodology
The paper investigates generalizations of the hypergeometric function and Srivastava fractional integral calculus using a general version of the gamma function.
Limitations
None.
Digital Object Identifier (DOI)
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