Results 31 to 40 of about 145,243 (265)
Certain Analytic Formulas Linked to Locally Fractional Differential and Integral Operators
Journal of Function Spaces, 2022 The present investigation is aimed at defining different classes of analytic functions and conformable differential operators in view of the concept of locally fractional differential and integral operators. We present a novel generalized class of analytic functions, which we call it locally fractional analytic functions in the open unit disk.
Ibtisam Aldawish, Rabha W. Ibrahim
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Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
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The analytical solutions for Volterra integro-differential equations within Local fractional operators by Yang-Laplace transform [PDF]
Sahand Communications in Mathematical Analysis, 2017 In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions.
Hassan Kamil Jassim
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Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space
Abstract and Applied Analysis, 2014 We establish some new generalizations and refinements of the local fractional integral Hölder’s inequality and some related results on fractal space.
Guang-Sheng Chen +3 more
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On Existence and Attractivity of Ψ-Hilfer Hybrid Fractional-order Langevin Differential Equations
International Journal of Analysis and Applications, 2023 The work reported in this article studies the equivalence relationship between fractional integral equation and Ψ-Hilfer Hybrid Langevin Differential Equations of fractional order with nonlocal initial conditions, and then we use this relationship to ...
Savita Rathee, Yogeeta Narwal
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Numerical Methods for the Fractional Laplacian: a Finite Difference-quadrature Approach
, 2014 The fractional Laplacian $(-\Delta)^{\alpha/2}$ is a non-local operator which depends on the parameter $\alpha$ and recovers the usual Laplacian as $\alpha \to 2$.
Huang, Yanghong, Oberman, Adam
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Local Truncation Error of Low-Order Fractional Variational Integrators [PDF]
, 2019 We study the local truncation error of the so-called fractional variational integrators, recently developed in [1, 2] based on previous work by Riewe and Cresson [3, 4]. These integrators are obtained through two main elements: the enlarging of the usual mechanical Lagrangian state space by the introduction of the fractional derivatives of the ...
Jiménez, F, Ober-Blöbaum, S
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Pediatric central nervous system (CNS) tumors often recur despite multimodality therapy. Although re‐irradiation (re‐RT) has historically been limited by concerns for severe late toxicities, modern techniques have renewed interest in this approach. Proton therapy provides dosimetric advantages that may enable curative re‐treatment with
Jin‐Ho Song +15 more
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ABOUT A PROBLEM FOR THE DEGENERATING MIXED TYPE EQUATION FRACTIONAL DERIVATIVE [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016 The existence and the uniqueness of solution of local problem for degenerating mixed type equation is investigated. Considering parabolic-hyperbolic equation involve the Caputo fractional derivative.
Islomov B. I., Ochilova N. K.
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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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