New inequalities using multiple Erdélyi–Kober fractional integral operators
Date
2024
Authors
Tassaddiq, Asifa
Srivastava, Rekha
Alharbi, Rabab
Md Kasmani, Ruhaila
Qureshi, Sania
Journal Title
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Volume Title
Publisher
Fractal and Fractional
Abstract
The role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to establish Minkowski fractional inequalities. Several other new and novel fractional integral inequalities are also established. Compared to the existing results, these fractional integral inequalities are more general and substantial enough to create new and novel results. M-E-K fractional integral operators have been previously applied for other purposes but have never been applied to the subject of this paper. These operators generalize a popular class of fractional integrals; therefore, this approach will open an avenue for new research. The smart properties of these operators urge us to investigate more results using them.
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Citation
Tassaddiq, A., Srivastava, R., Alharbi, R., Kasmani, R. M., & Qureshi, S. (2024). New inequalities using multiple Erdélyi–Kober fractional integral operators. Fractal and Fractional, 8(4), 180. https://doi.org/10.3390/fractalfract8040180