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Local Fractional Integral Hölder-Type Inequalities and Some Related Results
Fractal and Fractional, 2022 This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang.
Guangsheng Chen +3 more
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Demonstratio Mathematica, 2023 Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel +3 more
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Approximate methods for solving local fractional integral equations [PDF]
Journal of Hyperstructures, 2017 This paper presents new analytical approximate methods such as local fractional variational iteration method and local fractional decomposition method for a family of the linear and nonlinear integral equations of the second kind within local fractional ...
Hassan Kamil Jassim
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Local convergence of the FEM for the integral fractional Laplacian
SIAM Journal on Numerical Analysis, 2020 We provide for first order discretizations of the integral fractional Laplacian sharp local error estimates on proper subdomains in both the local $H^1$-norm and the localized energy norm.
Faustmann, Markus +2 more
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Generalized Fractional Integral Operators on Generalized Local Morrey Spaces [PDF]
Journal of Function Spaces, 2015 We study the continuity properties of the generalized fractional integral operator Iρ on the generalized local Morrey spaces LMp,φ{x0} and generalized Morrey spaces Mp,φ. We find conditions on the triple (φ1,φ2,ρ) which ensure the Spanne-type boundedness
V. S. Guliyev +3 more
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Some new local fractional integral inequalities
Tbilisi Mathematical Journal, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarikaya, Mehmet Zeki, Budak, Hüseyin
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Generalized Steffensen Inequalities for Local Fractional Integrals
International Journal of Analysis and Applications, 2017 Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities related these
Mehmet Zeki Sarikaya +2 more
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Fractal and Fractional, 2023 In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman +6 more
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NEWTON’S-TYPE INTEGRAL INEQUALITIES VIA LOCAL FRACTIONAL INTEGRALS
Fractals, 2020 We firstly establish an identity involving local fractional integrals. Then, with the help of this equality, some new Newton-type inequalities for functions whose the local fractional derivatives in modulus and their some powers are generalized convex are obtained.
Sabah Iftikhar, Poom Kumam, Samet Erden
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Some Integral Inequalities for Local Fractional Integrals
International Journal of Analysis and Applications, 2017 In this paper, firstly we extend some generalization of the Hermite-Hadamard inequality and Bullen inequality to generalized convex functions. Then, we give some important integral inequalities related to these inequalities.
M. Zeki Sarikaya +2 more
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