Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Noor, Muhammad AslamSubject: search.filters.subject.Gruss Inequality

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 85
    Citation - Scopus: 108
    Inequalities by Means of Generalized Proportional Fractional Integral Operators With Respect To Another Function
    (Mdpi, 2019) Jarad, Fahd; Noor, Muhammad Aslam; Kalsoom, Humaira; Chu, Yu-Ming; Rashid, Saima
    In this article, we define a new fractional technique which is known as generalized proportional fractional (GPF) integral in the sense of another function Psi. The authors prove several inequalities for newly defined GPF-integral with respect to another function Psi. Our consequences will give noted outcomes for a suitable variation to the GPF-integral in the sense of another function Psi and the proportionality index sigma. Furthermore, we present the application of the novel operator with several integral inequalities. A few new properties are exhibited, and the numerical approximation of these new operators is introduced with certain utilities to real-world problems.
  • Article
    Citation - WoS: 25
    Citation - Scopus: 37
    On Gruss Inequalities Within Generalized K-Fractional Integrals
    (Springer, 2020) Noor, Muhammad Aslam; Noor, Khalida Inayat; Baleanu, Dumitru; Liu, Jia-Bao; Rashid, Saima; Jarad, Fahd
    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.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 19
    A New Dynamic Scheme Via Fractional Operators on Time Scale
    (Frontiers Media Sa, 2020) Noor, Muhammad Aslam; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; Rahman, Gauhar; Rashid, Saima; Aslam Noor, Muhammad
    The present work investigates the applicability and effectiveness of the generalized Riemann-Liouville fractional integral operator integral method to obtain new Minkowski, Gruss type and several other associated dynamic variants on an arbitrary time scale, which are communicated as a combination of delta and fractional integrals. These inequalities extend some dynamic variants on time scales, and tie together and expand some integral inequalities. The present method is efficient, reliable, and it can be used as an alternative to establishing new solutions for different types of fractional differential equations applied in mathematical physics.