Results 61 to 70 of about 37,895 (200)

Left Riemann–Liouville Fractional Sobolev Space on Time Scales and Its Application to a Fractional Boundary Value Problem on Time Scales

Fractal and Fractional, 2022
First, we show the equivalence of two definitions of the left Riemann–Liouville fractional integral on time scales. Then, we establish and characterize fractional Sobolev space with the help of the notion of left Riemann–Liouville fractional derivative ...
Xing Hu, Yongkun Li
doaj   +1 more source

Local Time Asymmetry in Energetic Electron Distribution Within Saturn's Inner Magnetosphere

Geophysical Research Letters, Volume 53, Issue 6, 28 March 2026.
Abstract Electrons of several hundred keV in Saturn's ring current are important seed components of the radiation belt. In this study, we have statistically analyzed the spatial distribution of energetic electrons on the equatorial plane of the inner magnetosphere based on the Cassini in situ observations.
Yimeng Li, Chao Yue, Yixin Sun, Yixin Hao, Qiugang Zong, Xuzhi Zhou   +5 more
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

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

A Liouville type theorem for the Schrödinger operator [PDF]

Proceedings of the American Mathematical Society, 1999
In this paper we prove that the equation Δ u ( x ) + h ( x ) u ( x ) = 0 \Delta u(x)+h(x)u(x)=0 on a complete Riemannian manifold of dimension n n without boundary and with nonnegative Ricci curvature admits no ...
openaire   +3 more sources

C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor, Adrián Ruiz, Concepción Muriel   +2 more
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

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

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

A Liouville theorem for the Degasperis-Procesi equation [PDF]

, 2015
We prove that the only global, strong, spatially periodic solution to the Degasperis-Procesi equation, vanishing at some point (t0, x0), is the identically zero solution.
Brandolese, Lorenzo
core