Some Modifications in Conformable Fractional Integral Inequalities
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Date
2020
Journal Title
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Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Top 10%
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Top 10%
Abstract
The prevalence of the use of integral inequalities has dramatically influenced the evolution of mathematical analysis. The use of these useful tools leads to faster advances in the presentation of fractional calculus. This article investigates the Hermite-Hadamard integral inequalities via the notion of F-convexity. After that, we introduce the notion of F-mu-convexity in the context of conformable operators. In view of this, we establish some Hermite-Hadamard integral inequalities (both trapezoidal and midpoint types) and some special case of those inequalities as well. Finally, we present some examples on special means of real numbers. Furthermore, we offer three plot illustrations to clarify the results.
Description
Rangel Oliveros, Yenny Carolina/0000-0003-1480-1354; Vivas-Cortez, Miguel/0000-0002-1567-0264; Mohammed, Pshtiwan/0000-0001-6837-8075
Keywords
Integral Inequality, Conformable Operator, Convex Functions, Financial economics, Economics, Geometry, Convex Functions, Conformable matrix, Matrix Inequalities and Geometric Means, Mathematical analysis, Quantum mechanics, Orthogonal Polynomials, Fractional Integrals, Convexity, Context (archaeology), QA1-939, FOS: Mathematics, Riemann zeta function, Integral inequality, Approximation, Biology, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Conformable operator, Hermite polynomials, Algebra over a field, Convex functions, Applied Mathematics, Physics, FOS: Clinical medicine, Fractional calculus, Pure mathematics, Paleontology, Arithmetic zeta function, Applied mathematics, Midpoint, Inequality, Modeling and Simulation, Dentistry, Physical Sciences, Digamma function, Prime zeta function, Medicine, Hermite-Hadamard Inequalities, Calculus (dental), Mathematics, convex functions, conformable operator, Fractional derivatives and integrals, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Inequalities involving other types of functions, integral inequality
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Baleanu, Dumitru...et al. (2020). "Some modifications in conformable fractional integral inequalities", Advances in Difference Equations, Vol. 2020, No. 1.
WoS Q
Q1
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OpenCitations Citation Count
22
Source
Advances in Difference Equations
Volume
2020
Issue
1
Start Page
End Page
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CrossRef : 5
Scopus : 24
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Mendeley Readers : 4
SCOPUS™ Citations
26
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Web of Science™ Citations
25
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4
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