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Browsing by Author "Noor, Khalida Inayat"

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    Article
    Citation - WoS: 25
    Citation - Scopus: 35
    On Gruss inequalities within generalized K-fractional integrals
    (Springer, 2020) Jarad, Fahd; Rashid, Saima; Jarad, Fahd; Baleanu, Dumitru; Noor, Muhammad Aslam; Noor, Khalida Inayat; Baleanu, Dumitru; Liu, Jia-Bao; 56389; 234808; Matematik
    In this paper, we introduce the generalized K-fractional integral in the frame of a new parameter K > 0. This paper offers some new important inequalities of Gruss type using the generalized K-fractional integral and associated integral inequalities. Our results with this new integral operator have the abilities to be implemented for the evaluation of many mathematical problems related to the real world applications.
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    Article
    Citation - WoS: 2
    On Polya-Szego Type Inequalities via K-Fractional Conformable Integrals
    (Univ Punjab, dept Mathematics, 2020) Rashid, Saima; Jarad, Fahd; Jarad, Fahd; Noor, Muhammad Aslam; Noor, Khalida Inayat; Safdar, Farhat; 234808; Matematik
    The studies of inequalities regarding the fractional differential and integral operators are considered to be essential because of their potential applications among researchers. This paper consigns to the generalizations of novel fractional integral inequalities. The Polya-Szego type variants are generalized by involving K-fractional conformable integrals (KFCI): This is the K-analogue of the fractional conformable integrals. We discuss the implications and other consequences of the K-fractional conformable fractional integrals.
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    Article
    Citation - WoS: 41
    Simpson's type integral inequalities for kappa-fractional integrals and their applications
    (Amer inst Mathematical Sciences-aims, 2019) Rashid, Saima; Jarad, Fahd; Akdemir, Ahmet Ocak; Jarad, Fahd; Noor, Muhammad Aslam; Noor, Khalida Inayat; 234808; Matematik
    In this paper, some new inequalities of Simpson's type are set up for the classes of functions whose derivatives of absolute are preinvex by means of kappa-fractional integrals. Additionally, by extraordinary choices of n and kappa, we give some diminished outcomes. Meanwhile, we also provide the inequalities for F-divergence measures and in probabilistic versions.