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Parareal algorithms with local time-integrators for time fractional differential equations
Journal of Computational Physics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shu-Lin Wu, Tao Zhou 0010
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Generalized Abel type integral equations with localized fractional integrals and derivatives
Integral Transforms and Special Functions, 2018ABSTRACTGeneralized Abel type integral equations with Gauss, Kummer's and Humbert's confluent hypergeometric functions in the kernel and generalized Abel type integral equations with localized fractional integrals are considered. The left-hand sides of these equations are inversed by using generalized fractional derivatives.
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Local weighted inequalities for the fractional integral operator
Kobe Journal of Mathematics, 2000The author studies a local version of the Riesz potential, given by \[ I_{\alpha,B(x_0,R_0)}f(x)=\int_{y\in B(x_0,R_0)}|x-y|^{\alpha-n}f(y) dy, \] where \(x_0\in\mathbb R^n\), \(R_0>0\), \(n\geq 1\) and ...
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Fractional and Integral Coloring of Locally-Symmetric Sets of Paths on Binary Trees
2004Motivated by the problem of allocating optical bandwidth in tree–shaped WDM networks, we study the fractional path coloring problem in trees. We consider the class of locally-symmetric sets of paths on binary trees and prove that any such set of paths has a fractional coloring of cost at most 1.367L, where L denotes the load of the set of paths.
Ioannis Caragiannis +3 more
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SOME INTEGRAL INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS
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.Sarikayala, M. Zeki +3 more
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Simpson–Mercer and Newton–Mercer estimates via local fractional integrals with applications
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iram Javed, Arslan Razzaq
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Compositions of localized fractional derivatives and integrals of a different degree of localization
Integral Transforms and Special Functions, 2021openaire +1 more source
GENERALIZED STEFFENSEN INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS
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 inequalities using the local fractional integral.Sarikaya, Mehmet Zeki +3 more
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