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Browsing by Author "Ali, Rana Safdar"

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    Some Generalized Fractional Integral Inequalities With Nonsingular Function as a Kernel
    (Amer inst Mathematical Sciences-aims, 2021) Ali, Rana Safdar; Nayab, Iqra; Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; Mubeen, Shahid; 56389
    Integral 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.