Results 41 to 50 of about 1,067 (186)

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

Fixed Point Theorems on Controlled Orthogonal δ-Metric-Type Spaces and Applications to Fractional Integrals

Journal of Function Spaces
In this article, we introduce a notion of controlled orthogonal δ-metric-type spaces with an example. Further, we prove a contraction theorem and a generalized fixed point theorem in controlled orthogonal δ-metric-type spaces.
Benitha Wises Samuel, Gunaseelan Mani, Purushothaman Ganesh, Sabri T. M. Thabet, Imed Kedim   +4 more
doaj   +1 more source

A Gradient Bound for the Allen-Cahn Equation Under Almost Ricci Solitons [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton   without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality, we
Sakineh Hajiaghasi, Shahroud Azami
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

Existence of Positive Solutions for a Class of m-Point Boundary Value Problems

Advances in Difference Equations, 2008
This paper investigates the existence of positive solutions for a class of second-order singular m-point Sturm-Liouville-type boundary value problems by using fixed point theorem in cones.
Weigao Ge, Xuemei Zhang
doaj   +1 more source

On fractional Cauchy-type problems containing Hilfer's derivative

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In the paper we study fractional systems with generalized Riemann-Liouville derivatives. A theorem on the existence and uniqueness of a solution to a fractional nonlinear ordinary Cauchy problem is proved.
Rafał Kamocki, Cezary Obczyński
doaj   +1 more source

Multiple positive solutions for nonlinear high-order Riemann–Liouville fractional differential equations boundary value problems with p-Laplacian operator

Boundary Value Problems, 2020
In this paper, we study the existence of multiple positive solutions for boundary value problems of high-order Riemann–Liouville fractional differential equations involving the p-Laplacian operator.
Bibo Zhou, Lingling Zhang, Emmanuel Addai, Nan Zhang   +3 more
doaj   +1 more source

Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps [PDF]

Analysis and Geometry in Metric Spaces, 2014
AbstractThis paper is a study of harmonic maps fromRiemannian polyhedra to locally non-positively curvedgeodesic spaces in the sense of Alexandrov. We prove Liouville-type theorems for subharmonic functionsand harmonic maps under two different assumptions on the source space.
openaire   +3 more sources

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

Positive Solutions for a System of Coupled Semipositone Fractional Boundary Value Problems with Sequential Fractional Derivatives

Mathematics, 2021
We study the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with sequential derivatives, positive parameters and sign-changing singular nonlinearities, subject to nonlocal coupled ...
Johnny Henderson, Rodica Luca, Alexandru Tudorache   +2 more
doaj   +1 more source