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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Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian [PDF]
Computers and Mathematics With Applications, 2021 11 ...
Weihua Deng, Daxin Nie
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Local Convergence of the FEM for the Integral Fractional Laplacian
SIAM Journal on Numerical Analysis, 2022 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. Our estimates have the form of a local best approximation error plus a global error measured in a weaker norm.
Jens Markus Melenk, Markus Faustmann
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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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On generalized some integral inequalities for local fractional integrals
Applied Mathematics and Computation, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huseyin Budak +2 more
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A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality [PDF]
Abstract and Applied Analysis, 2014 Anderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities.
Wei Wei +5 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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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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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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Generalized Local Morrey Spaces and Fractional Integral Operators with Rough Kernel [PDF]
Journal of Mathematical Sciences, 2013 arXiv admin note: text overlap with arXiv:1203.1441 by other ...
Guliyev V S, V S Guliyev
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