Results 1 to 10 of about 1,333 (161)
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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Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator [PDF]
Journal of Inequalities and Applications, 2020 The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator.
Asifa Tassaddiq +5 more
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Generalized proportional fractional integral Hermite–Hadamard’s inequalities [PDF]
Advances in Difference Equations, 2021 The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations.
Tariq A. Aljaaidi +5 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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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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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.
Umut Mutlu Özkan +1 more
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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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Fractal and Fractional, 2022 In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function
Advances in Difference Equations, 2020 We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen +5 more
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