Results 31 to 40 of about 33,681 (303)
Journal of Mathematics, 2020 In this present article, we establish certain new Pólya–Szegö-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function Ψ in the kernel. We then prove certain new Chebyshev-type
Gauhar Rahman +3 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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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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Methods for Solving Some Fractional Integral
, 2023 : In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we evaluate some fractional integral. The main methods we used are fractional L’Hospital’s rule, integration by parts for fractional calculus, and a new ...
Chii-Huei Yu
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Journal of Inequalities and Applications, 2020 The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions.
Xiaoli Qiang +4 more
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Integral inequalities for some convex functions via generalized fractional integrals
Journal of Inequalities and Applications, 2018 In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
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On Fractional Inequalities Using Generalized Proportional Hadamard Fractional Integral Operator
Axioms, 2022 The main objective of this paper is to use the generalized proportional Hadamard fractional integral operator to establish some new fractional integral inequalities for extended Chebyshev functionals.
Vaijanath L. Chinchane +4 more
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Nabla Fractional Derivative and Fractional Integral on Time Scales [PDF]
Axioms, 2021 In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.
Bikash Gogoi +4 more
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, 2023 : In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we find the solution of some type of improper fractional integral.
Chii-Huei Yu
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NEW FRACTIONAL INTEGRAL EXTENSIONS FOR INEQUALITIES INVOLVING MONOTONE FUNCTIONS [PDF]
This paper extends classical results on integral inequalities involving monotone functions to the domain of Riemann-Liouville fractional integrals with positive arbitrary order a .
Dahmani, Zoubir +2 more
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