Results 41 to 50 of about 2,364 (188)

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

Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data

Quantitative Biology, Volume 14, Issue 3, September 2026.
Abstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Kumama Regassa Cheneke, Fatmawati Fatmawati, Mustafa Bayram   +2 more
wiley   +1 more source

Adaptive Estimation for Weakly Dependent Functional Times Series

Journal of Time Series Analysis, Volume 47, Issue 5, Page 1013-1027, September 2026.
ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro, Valentin Patilea, Myriam Vimond   +2 more
wiley   +1 more source

Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions

Boundary Value Problems, 2011
We study a boundary value problem to Langevin equation involving two fractional orders. The Banach fixed point theorem and Krasnoselskii's fixed point theorem are applied to establish the existence results.
Chen Yi, Chen Anping
doaj  

Caristi Fixed Point Theorem in Metric Spaces with a Graph

Abstract and Applied Analysis, 2014
We discuss Caristi’s fixed point theorem for mappings defined on a metric space endowed with a graph. This work should be seen as a generalization of the classical Caristi’s fixed point theorem.
M. R. Alfuraidan, M. A. Khamsi
doaj   +1 more source

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Multivalued fixed point theorems in Banach algebra based on degree of nondensifiability and applications

Fixed Point Theory and Algorithms for Sciences and Engineering
Using the concept of the degree of nondensifiability in Banach algebras, we establish fixed point theorems for the product of two operators that are contractions with respect to this measure.
Mohamed Aggad, Abdelghani Ouahab, Juan J. Nieto   +2 more
doaj   +1 more source

On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations

Abstract and Applied Analysis, 2012
We consider a class of nonautonomous stochastic evolution equations in real separable Hilbert spaces. We establish a new composition theorem for square-mean almost automorphic functions under non-Lipschitz conditions.
Jing Cui, Litan Yan
doaj   +1 more source

Existence and Uniqueness of Mild Solutions to Impulsive Nonlocal Cauchy Problems

Journal of Mathematics, 2020
In this paper, a class of nonlocal impulsive differential equation with conformable fractional derivative is studied. By utilizing the theory of operators semigroup and fractional derivative, a new concept on a solution for our problem is introduced.
Mohamed Hannabou, Khalid Hilal, Ahmed Kajouni   +2 more
doaj   +1 more source