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Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]
Abstract and Applied Analysis, 2014 We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities.
Weerawat Sudsutad +2 more
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Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function [PDF]
Journal of Inequalities and Applications, 2017 Fractional inequalities are useful in establishing the uniqueness of solution for partial differential equations of fractional order. Also they provide upper and lower bounds for solutions of fractional boundary value problems.
Ghulam Abbas +3 more
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Fractional integral inequalities and applications
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zachary Denton
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New Inequalities Using Multiple Erdélyi–Kober Fractional Integral Operators
Fractal and FractionalThe role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to ...
Asifa Tassaddiq +4 more
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Refinements of Pólya-SzegŐ and Chebyshev type inequalities via different fractional integral operators [PDF]
HeliyonVarious differential and integral operators have been introduced and applied for the generalization of several integral inequalities. The purpose of this article is to create a more generalized fractional integral operator of Saigo type.
Ayyaz Ahmad, Matloob Anwar
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Some new fractional quantum integral inequalities
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wengui Yang
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Fractional Quantum Integral Inequalities [PDF]
Journal of Inequalities and Applications, 2011 Several authors have studied fractional integral inequalities and applications [\textit{S. L. Kalla} and \textit{A. Rao}, Matematiche 66, 59--66 (2011; Zbl 1222.26023); \textit{Z. Denton} and \textit{A. S. Vatsala}, Comput. Math. Appl. 59, No. 3, 1087--1094 (2010; Zbl 1189.26044); \textit{G. A. Anastassiou}, Comput. Math. Appl. 54, No.
Ogunmez, Hasan, Ozkan, Umut Mutlu
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On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
Axioms, 2021 In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane +3 more
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Fractal and Fractional, 2021 Integral inequalities involving many fractional integral operators are used to solve various fractional differential equations. In the present paper, we will generalize the Hermite–Jensen–Mercer-type inequalities for an h-convex function via a Caputo ...
Miguel Vivas-Cortez +4 more
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Some Fractional Integral Inequalities by Way of Raina Fractional Integrals
Symmetry, 2023 In this research, some novel Hermite–Hadamard–Fejér-type inequalities using Raina fractional integrals for the class of ϑ-convex functions are obtained. These inequalities are more comprehensive and inclusive than the corresponding ones present in the literature.
Miguel J. Vivas-Cortez +2 more
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