Bennett-Leindler Nabla Type Inequalities Via Conformable Fractional Derivatives on Time Scales
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Date
2022
Journal Title
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Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
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Abstract
In this work, we prove several new (gamma, a)-nabla Bennett and Leindler dynamic inequalities on time scales. The results proved here generalize some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using integration by parts, chain rule and Holder inequality for the (gamma, a)-nabla-fractional derivative on time scales.
Description
Eldeeb, Ahmed/0000-0003-2822-4092
ORCID
Keywords
Steffensen'S Inequality, Dynamic Inequality, Dynamic Integral, Time Scales, Financial economics, Economics, Conformable matrix, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Nabla symbol, QA1-939, FOS: Mathematics, Time Scales, Biology, Anomalous Diffusion Modeling and Analysis, dynamic inequality, Omega, Ecology, time scales, Applied Mathematics, Physics, Statistics, Fractional calculus, Pure mathematics, Applied mathematics, dynamic integral, steffensen's inequality, Fractional Derivatives, Inequality, Modeling and Simulation, Derivative (finance), Discrete time and continuous time, FOS: Biological sciences, Physical Sciences, Type (biology), Mathematics
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
El-Deeb, Ahmed A.;...et.al. (2022). "Bennett-Leindler nabla type inequalities via conformable fractional derivatives on time scales", AIMS Mathematics, Vol.7, No.8, pp.14099-14116.
WoS Q
Q1
Scopus Q
Q1
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Source
AIMS Mathematics
Volume
7
Issue
8
Start Page
14099
End Page
14116
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