Results 41 to 50 of about 497 (183)

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Liouville type theorems involving fractional order systems

Advanced Nonlinear Studies
In this paper, let α be any real number between 0 and 2, we study the following semi-linear elliptic system involving the fractional Laplacian: (−Δ)α/2u(x)=f(u(x),v(x)),x∈Rn,(−Δ)α/2v(x)=g(u(x),v(x)),x∈Rn. $\begin{cases}{\left(-{\Delta}\right)}^{\alpha /2}
Liao Qiuping, Liu Zhao, Wang Xinyue
doaj   +1 more source

Liouville theorems for nonlocal operators with conical diffusion

Bruno Pini Mathematical Analysis Seminar
We consider linear stable operators whose spectral measure is assumed to be positive only on a relatively open subset of the unit sphere, the aim being to present semilinear Liouville-type results for positive supersolutions in a half-space.
Giulio Galise
doaj   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations

Abstract and Applied Analysis, 2013
We study the nonlinear -difference equations of fractional order , , , , , where is the fractional -derivative of the Riemann-Liouville type of order , , , , and .
Changlong Yu, Jufang Wang
doaj   +1 more source

Discrete Energy Bands Beyond Galilean Moons: Bounce‐Phase Structuring of Jovian Magnetospheric Particles

Geophysical Research Letters, Volume 53, Issue 15, 16 August 2026.
Abstract Discrete energy bands of ion fluxes, typically organized in velocity with equal separations, have been frequently observed in Jupiter's magnetosphere either in association with Galilean moons or in regions far from their influence. Here, we focus on the latter type and propose that these bands are manifestations of bounce‐phase structuring ...
Ya‐Ze Wu, Xu‐Zhi Zhou, Ze‐Fan Yin, Yixin Sun, Chao Yue, Qiugang Zong   +5 more
wiley   +1 more source

Gradient estimates for nonlinear elliptic equations involving the Witten Laplacian on smooth metric measure spaces and implications

Advances in Nonlinear Analysis, 2023
This article presents new local and global gradient estimates of Li-Yau type for positive solutions to a class of nonlinear elliptic equations on smooth metric measure spaces involving the Witten Laplacian.
Taheri Ali, Vahidifar Vahideh
doaj   +1 more source

A Liouville-Type Theorem for Smooth Metric Measure Spaces [PDF]

Journal of Geometric Analysis, 2011
For smooth metric measure spaces $(M, g, e^{-f} dvol)$ we prove a Liuoville-type theorem when the Bakry-Emery Ricci tensor is nonnegative. This generalizes a result of Yau, which is recovered in the case $f$ is constant. This result follows from a gradient estimate for f-harmonic functions on smooth metric measure spaces with Bakry-Emery Ricci tensor ...
openaire   +3 more sources

Well‐Posedness and Analyticity of Solutions to the Stationary MHD Equations

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 8, August 2026.
ABSTRACT We consider the stationary problem of the MHD equations in R3$\mathbb {R}^3$. The aim of this article is to show existence, uniqueness, regularity, and analyticity of solutions in the scaling invariant homogeneous Besov space Ḃp,q−1+3/p$\dot{B}^{-1 + 3/p}_{p, q}$ for 1⩽p<3$1 \leqslant p < 3$ and 1⩽q⩽∞$1 \leqslant q \leqslant \infty$.
Kento Sube
wiley   +1 more source

Non-polynomial fractional spline method for solving Fredholm integral equations

Journal of Innovative Applied Mathematics and Computational Sciences, 2022
 A new type of non-polynomial fractional spline function for approximating solutions of Fredholm-integral equations has been presented. For this purpose, we used a new idea of fractional continuity conditions by using the Caputo fractional derivative ...
Rahel Jaza, Faraidun Hamasalh
doaj   +1 more source