Ali, Rana SafdarNayab, IqraRahman, GauharNisar, Kottakkaran SooppyBaleanu, DumitruMubeen, Shahid2023-01-122025-09-182023-01-122025-09-182021Mubeen, Shahid...et al. (2021). "Some generalized fractional integral inequalities with nonsingular function as a kernel", AIMS MATHEMATICS, Vol. 6, No. 4, pp. 3352-337.2473-6988https://doi.org/10.3934/math.2021201https://hdl.handle.net/20.500.12416/11553Rahman, Gauhar/0000-0002-2728-7537Integral inequalities play a key role in applied and theoretical mathematics. The purpose of inequalities is to develop mathematical techniques in analysis. The goal of this paper is to develop a fractional integral operator having a non-singular function (generalized multi-index Bessel function) as a kernel and then to obtain some significant inequalities like Hermit Hadamard Mercer inequality, exponentially (s - m)-preinvex inequalities, Polya-Szego and Chebyshev type integral inequalities with the newly developed fractional operator. These results describe in general behave and provide the extension of fractional operator theory (FOT) in inequalities.eninfo:eu-repo/semantics/openAccessConvexityGeneralized Multi-Index Bessel FunctionInequalities And Integral OperatorsFractional Derivatives And IntegralsArticle10.3934/math.20212012-s2.0-85099566342