Results 211 to 220 of about 5,245 (272)

Regularity of the SLE4 uniformizing map and the SLE8 trace

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We show that the modulus of continuity of the SLE4${\rm SLE}_4$ uniformizing map is given by (logδ−1)−1/3+o(1)$(\log \delta ^{-1})^{-1/3+o(1)}$ as δ→0$\delta \rightarrow 0$. As a consequence of our analysis, we show that the Jones–Smirnov conditions for conformal removability (with quasihyperbolic geodesics) do not hold for SLE4${\rm SLE}_4 ...
Konstantinos Kavvadias   +2 more
wiley   +1 more source

On the Fractional Inequalities of the Milne Type

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10833-10840, 30 July 2025.
ABSTRACT Our investigations in this paper revolve around exploring fractional variants of inequalities of Milne type by applying twice differentiable convex mappings. Based on some principles of convexity, Hölder inequality, and power‐mean inequality, novel inequalities are derived.
Hüseyin Budak   +2 more
wiley   +1 more source

A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10970-10977, 30 July 2025.
ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley   +1 more source

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

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