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 AslamScopus Q: search.filters.scopusQuartile.Q2

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  • Article
    Citation - WoS: 12
    Citation - Scopus: 12
    More New Results on Integral Inequalities for Generalized K-Fractional Conformable Integral Operators
    (Amer inst Mathematical Sciences-aims, 2021) Rashid, Saima; Jarad, Fahd; Noor, Muhammad Aslam; Kalsoom, Humaira; Chu, Yu-Ming
    This paper aims to investigate the several generalizations by newly proposed generalized K-fractional conformable integral operator. Based on these novel ideas, we derived a novel framework to study for Cebysev and Polya-Szego type inequalities by generalized K-fractional conformable integral operator. Several special cases are apprehended in the light of generalized fractional conformable integral. This novel strategy captures several existing results in the relative literature. We also aim at showing important connections of the results here with those including Riemann-Liouville fractional integral operator.
  • 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: 15
    Citation - Scopus: 19
    Gruss-Type Integrals Inequalities Via Generalized Proportional Fractional Operators
    (Springer-verlag Italia Srl, 2020) Jarad, Fahd; Noor, Muhammad Aslam; Rashid, Saima
    In the article, we deal with the generalized proportional fractional integral, establish several kinds of inequalities such as Gruss-type and certain other inequalities by use of generalized proportional fractional integral. Moreover, several special cases are discussed. Also, we derive certain particular results by utilizing the connection between generalized proportional fractional integral and Riemann-Liouville integral. Furthermore, an illustrative example is presented to support our outcomes.
  • Article
    Citation - WoS: 36
    Citation - Scopus: 55
    Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications
    (Mdpi, 2019) Jarad, Fahd; Noor, Muhammad Aslam; Rashid, Saima; Abdeljawad, Thabet
    In the present paper, we investigate some Hermite-Hadamard (HH) inequalities related to generalized Riemann-Liouville fractional integral (GRLFI) via exponentially convex functions. We also show the fundamental identity for GRLFI having the first order derivative of a given exponentially convex function. Monotonicity and exponentially convexity of functions are used with some traditional and forthright inequalities. In the application part, we give examples and new inequalities for the special means.