Results 61 to 70 of about 695,650 (225)

Existence Results for Fractional Differential Equations Under Weak Topology Features

Pan-American Journal of Mathematics, 2022
Using Krasnoselskii type fixed point theorem under the weak topology, we establish some sufficient conditions to ensure the existence of the weak solutions for kinds of initial value problems of fractional differential equations, involving Riemann ...
Ahmed Hallaci, Aref Jeribi, Bilel Krichen, Bilel Mefteh   +3 more
doaj   +1 more source

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

Mathematical Methods in the Applied Sciences, EarlyView.
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

Existence Results for Sequential Riemann–Liouville and Caputo Fractional Differential Inclusions with Generalized Fractional Integral Conditions

Mathematics, 2020
Under different criteria, we prove the existence of solutions for sequential fractional differential inclusions containing Riemann–Liouville and Caputo type derivatives and supplemented with generalized fractional integral boundary conditions.
Jessada Tariboon, Sotiris K. Ntouyas, Bashir Ahmad, Ahmed Alsaedi   +3 more
doaj   +1 more source

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

Mathematical Methods in the Applied Sciences, EarlyView.
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

Riemann–Liouville Type Fractional Derivatives and Equivalences of Linear Riemann–Liouville Type Fractional Differential Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The first or higher order Riemann–Liouville (R‐L) type fractional derivatives are studied. The relations between the R‐L type fractional derivatives and the classical R‐L fractional derivatives are obtained and the spaces of functions on which the R‐L type fractional derivatives exist are provided.
Kunquan Lan
wiley   +1 more source

Sharp Gradient Estimate and Yau's Liouville Theorem for the Heat Equation on Noncompact Manifolds [PDF]

, 2005
We derive a sharp, localized version of elliptic type gradient estimates for positive solutions (bounded or not) to the heat equation. These estimates are related to the Cheng–Yau estimate for the Laplace equation and Hamilton's estimate for bounded ...
P. Souplet, Qi S. Zhang
semanticscholar   +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

Lunar Dayside Surface Potentials in the Terrestrial Magnetotail Inferred From Comparing Observed and Modeled Photoelectrons

Geophysical Research Letters, Volume 53, Issue 15, 16 August 2026.
Abstract As an airless body, the lunar surface is charged as a result of balancing electric currents into and away from the surface. Lunar surface charging is important for both scientific and human‐exploration purposes. The nightside surface charging has been well characterized by previous studies, but less so for the dayside.
Shaosui Xu, Andrew R. Poppe, Yuki Harada, Phillip C. Chamberlin   +3 more
wiley   +1 more source

Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation [PDF]

Archives of Control Sciences
In this paper,we present a theorem about stability of nonlinear fractional difference equation with Riemann-Liouvile difference operator. The result is a version of classical theorem on linear approximation and to derive them,we prove the variation of ...
Pham The Anh, Adam Czornik, Michał Niezabitowski   +2 more
doaj   +1 more source

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