Results 81 to 90 of about 419 (175)
Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
Journal of Mathematical Analysis and Applications, 2002 The authors consider the known construction of Hadamard fractional integration \[ \mathcal{I}^\alpha_{0+,\mu} f(x)= \frac{1}{\Gamma(\alpha)}\int_0^x\left(\frac{u}{x}\right) ^\mu \left(ln \frac{x}{u}\right)^{ \alpha -1}\frac{f(u) du}{u} \] and some of their modifications. These constructions are invariant with respect to dilations and are related to the
Butzer, Paul L. +2 more
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Journal of Mathematics, 2020 The main objective of this paper is to obtain the fractional integral operator inequalities which provide bounds of the sum of these operators at an arbitrary point. These inequalities are derived for s-exponentially convex functions.
Gang Hong +6 more
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Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions
Le Matematiche, 2015 By utilizing two fractional integral identities and elementaryinequalities via geometric-geometric (GG for short) convex functions, we derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals.
Shenda Liu, JinRong Wang
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Journal of Applied Mathematics, 2014 We obtain some Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville integrals. Some integral inequalities with the right-hand side of the fractional Hermite-Hadamard type inequality are also established.
Feixiang Chen
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Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations
Journal of Function Spaces, 2018 We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type ...
Muhammad Adil Khan +4 more
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Intuitionistic Fuzzy Riemann-Liouville and Hadamard Fractional ⊗Integrals
Earthline Journal of Mathematical SciencesIn this study, we introduce intuitionistic fuzzy Riemann-Liouville and Hadamard fractional ⊗integrals of intuitionistic fuzzy valued functions and obtain some of their basic properties. We also give some examples to illustrate the obtained results.
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Continuous random variables with Hadamard fractional integral
Tamkang Journal of Mathematics, 2018 In this paper, we establish some new inequalities of expectation and variance of continuous random variables by using the Hadamard fractional integral operator.
Khellaf Ould Melha +1 more
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Hermite-Hadamard Type Inequalities for (α, m)- Convex Functions via Fractional Integrals
Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, we establish Hermite-Hadamard type inequalities for (α, m)-convex functions via fractional integrals.
Set Erhan +3 more
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Hadamard functional fractional integrals and derivatives and fractional differential equations
FilomatThis paper introduces a general type of new version of Hadamard fractional integrals and derivatives with respect to another function and studies some of their properties. Further, we prove the existence results for fractional differential equations with this Hadamard type fractional derivative.
K. Balachandran +3 more
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Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]
, 2017 Bashir Ahmad +3 more
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