On nabla conformable fractional Hardy-type inequalities on arbitrary time scales View Full Text


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Article Info

DATE

2021-12-09

AUTHORS

Ahmed A. El-Deeb, Samer D. Makharesh, Eze R. Nwaeze, Olaniyi S. Iyiola, Dumitru Baleanu

ABSTRACT

The main aim of the present article is to introduce some new ∇-conformable dynamic inequalities of Hardy type on time scales. We present and prove several results using chain rule and Fubini’s theorem on time scales. Our results generalize, complement, and extend existing results in the literature. Many special cases of the proposed results, such as new conformable fractional h-sum inequalities, new conformable fractional q-sum inequalities, and new classical conformable fractional integral inequalities, are obtained and analyzed. More... »

PAGES

192

References to SciGraph publications

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  • 2021-02-02. Some dynamic Hilbert-type inequalities for two variables on time scales in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2018-12-31. A Variety of Nonlinear Retarded Integral Inequalities of Gronwall Type and Their Applications in ADVANCES IN MATHEMATICAL INEQUALITIES AND APPLICATIONS
  • 2015-06-18. On the analytical solution of Fornberg–Whitham equation with the new fractional derivative in PRAMANA
  • 2016-12-27. Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales in ARABIAN JOURNAL OF MATHEMATICS
  • 2017-06-10. Hermite–Hadamard type inequalities for conformable fractional integrals in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A. MATEMÁTICAS
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  • 2021. ON (q, h)-ANALOGUE OF FRACTIONAL CALCULUS in JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
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  • 2020-08-05. Some reverse inequalities of Hardy type on time scales in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
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    http://scigraph.springernature.com/pub.10.1186/s13660-021-02723-7

    DOI

    http://dx.doi.org/10.1186/s13660-021-02723-7

    DIMENSIONS

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