Parametric inequalities involving fractional integrals with exponential kernels
-
Wedad Saleh
,
Badreddine Meftah
,
Hüseyin Budak
Abstract
This paper explores integral inequalities within the framework of fractional integrals having exponential kernels through a parameterized approach. A novel integral identity with a parameter is introduced, forming the basis for deriving a general inequality. From this, several classical inequalities, including midpoint, trapezium, Bullen, Simpson, and corrected Simpson types, are obtained for differentiable convex functions. Numerical examples and graphical analyses are presented to verify the validity of the proposed results. The findings are further demonstrated through applications to special functions, showcasing the versatility of the developed framework.
Acknowledgements
The authors would like to thank the editorial board and the reviewers for their valuable suggestions and comments, which helped us improve this article substantially.
References
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