Scopus İndeksli Yayınlar Koleksiyonu

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

Browse

Filters

2020 - 20227

Settings

Publisher: search.filters.publisher.MdpiSubject: search.filters.subject.Dynamic Inequality

Search Results

Now showing 1 - 7 of 7
  • Article
    Δ-Gronwall Dynamic Inequalities and Their Applications on Time Scales
    (Mdpi, 2022) El-Deeb, Ahmed A.; Baleanu, Dumitru; Awrejcewicz, Jan
    In this article, with the help of Leibniz integral rule on time scales, we prove some new dynamic inequalities of Gronwall-Bellman-Pachpatte-type on time scales. These inequalities can be used as handy tools to study the qualitative and quantitative properties of solutions of the initial boundary value problem for partial delay dynamic equation.
  • Article
    Citation - WoS: 1
    On Some Important Dynamic Inequalities of Hardy-Hilbert on Timescales
    (Mdpi, 2022) El-Deeb, Ahmed A.; Baleanu, Dumitru; Cesarano, Clemente; Abdeldaim, Ahmed
    In this article, by using some algebraic inequalities, nabla Holder inequalities, and nabla Jensen's inequalities on timescales, we proved some new nabla Hilbert-type dynamic inequalities on timescales. These inequalities extend some known dynamic inequalities on timescales and unify some continuous inequalities and their corresponding discrete analogues. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities.
  • Article
    Some Generalizations of Novel (Δ Backward Difference )<sup>δ</Sup>-gronwall-pachpatte Dynamic Inequalities on Time Scales With Applications
    (Mdpi, 2022) Baleanu, Dumitru; El-Deeb, Ahmed A.
    We established several novel inequalities of Gronwall-Pachpatte type on time scales. Our results can be used as handy tools to study the qualitative and quantitative properties of the solutions of the initial boundary value problem for a partial delay dynamic equation. The Leibniz integral rule on time scales has been used in the technique of our proof. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities.
  • Article
    Citation - WoS: 1
    On Some Important Class of Dynamic Hilbert's-type Inequalities on Time Scales
    (Mdpi, 2022) El-Deeb, Ahmed A.; Makharesh, Samer D.; Baleanu, Dumitru; Cesarano, Clemente; El-Owaidy, Hassan M.
    In this important work, we discuss some novel Hilbert-type dynamic inequalities on time scales. The inequalities investigated here generalize several known dynamic inequalities on time scales and unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using some algebraic inequalities, Holder inequality, and Jensen's inequality on time scales.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 1
    Diamond Alpha Hilbert-Type Inequalities on Time Scales
    (Mdpi, 2022) Baleanu, Dumitru; Askar, Sameh S.; Cesarano, Clemente; Abdeldaim, Ahmed; El-Deeb, Ahmed A.
    In this article, we will prove some new diamond alpha Hilbert-type dynamic inequalities on time scales which are defined as a linear combination of the nabla and delta integrals. These inequalities extend some known dynamic inequalities on time scales, and unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proven by using some algebraic inequalities, diamond alpha Holder inequality, and diamond alpha Jensen's inequality on time scales.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 3
    (Δ Backward Difference )<sup> Backward Difference </Sup>-pachpatte Dynamic Inequalities Associated With Leibniz Integral Rule on Time Scales With Applications
    (Mdpi, 2022) Baleanu, Dumitru; Awrejcewicz, Jan; El-Deeb, Ahmed A.
    We prove some new dynamic inequalities of the Gronwall-Bellman-Pachpatte type on time scales. Our results can be used in analyses as useful tools for some types of partial dynamic equations on time scales and in their applications in environmental phenomena and physical and engineering sciences that are described by partial differential equations.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 8
    New Weighted Opial-Type Inequalities on Time Scales for Convex Functions
    (Mdpi, 2020) Baleanu, Dumitru; El-Deeb, Ahmed A.
    Our work is based on the multiple inequalities illustrated in 1967 by E. K. Godunova and V. I. Levin, in 1990 by Hwang and Yang and in 1993 by B. G. Pachpatte. With the help of the dynamic Jensen and Holder inequality, we generalize a number of those inequalities to a general time scale. In addition to these generalizations, some integral and discrete inequalities will be obtained as special cases of our results.