Results 81 to 90 of about 16,666 (188)

Reformulation of Fixed Point Existence: From Banach to Kannan and Chatterjea Contractions

Axioms
This paper presents a reformulation of classical existence and uniqueness results for second-order boundary value problems (BVPs) using the Kannan fixed point theorem, extending beyond the Banach contraction principle.
Zouaoui Bekri, Nicola Fabiano, Mohammed Ahmed Alomair, Abdulaziz Khalid Alsharidi   +3 more
doaj   +1 more source

Existence of Nonoscillatory Solutions of Higher-Order Neutral Differential Equations with Distributed Coefficients and Delays

Discrete Dynamics in Nature and Society, 2016
We consider the existence of nonoscillatory solutions of higher-order neutral differential equations with distributed coefficients. We use the Banach contraction principle to obtain new sufficient condition for the existence of nonoscillatory solutions.
Youjun Liu, Huanhuan Zhao, Jurang Yan
doaj   +1 more source

Ghost effect from Boltzmann theory

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito, Yan Guo, Rossana Marra, Lei Wu   +3 more
wiley   +1 more source

Mathematical Modeling of Giardiasis Transmission Dynamics Using Caputo Fractional Derivative

Engineering Reports, Volume 8, Issue 3, March 2026.
The research offers an insight into the dynamics of giardiasis transmission as well as direction to practitioners and public health authorities in developing specific intervention strategies to mitigate the negative effects of these parasitic infections on the well‐being of the population. ABSTRACT Giardia duodenalis is a protozoan parasite that causes
Joshua Kiddy K. Asamoah, Isaac K. Adu, Fredrick A. Wireko, Adu Sakyi   +3 more
wiley   +1 more source

Existence Results for a Class of Fractional Differential Equations with Periodic Boundary Value Conditions and with Delay

Abstract and Applied Analysis, 2013
We discuss the existence and uniqueness of solution for two types of fractional order ordinary and delay differential equations. Fixed point theorems are the main tool used here to establish the existence and uniqueness results.
Hadi Karami, Azizollah Babakhani, Dumitru Baleanu   +2 more
doaj   +1 more source

Variational Modeling of Porosity Waves

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Mathematical models for finite‐strain poroelasticity in an Eulerian formulation are studied by constructing their energy‐variational structure, which gives rise to a class of saddle‐point problems. This problem is discretized using an incremental time‐stepping scheme and a mixed finite element approach, resulting in a monolithic, structure ...
Andrea Zafferi, Dirk Peschka
wiley   +1 more source

Characterization of Multiplicative Metric Completeness

International Journal of Analysis and Applications, 2016
We established fixed point theorems in multiplicative metric spaces. The obtained results generalize Banach contraction principle in multiplicative metric spaces and also characterize completeness of the underlying multiplicative metric space.
Badshshah e Romer, Muhammad Sarwar
doaj   +2 more sources

On Multilevel Energy‐Based Fragmentation Methods

International Journal of Quantum Chemistry, Volume 126, Issue 3, February 5, 2026.
We investigate the working equations of energy‐based fragmentation methods and present ML‐SUPANOVA, a Möbius‐inversion‐based multilevel fragmentation scheme that enables adaptive, quasi‐optimal truncations to efficiently approximate Born‐Oppenheimer potentials across hierarchies of electronic‐structure methods and basis sets.
James Barker, Michael Griebel, Jan Hamaekers   +2 more
wiley   +1 more source

BANACH CONTRACTION PRINCIPLE AND ITS GENERALIZATIONS

, 2018
The main purpose of this research paper was to establish sufficient condition for the existence of fixed point of self maps satisfying some contraction type conditions in a complete metric space.
openaire   +1 more source

A variant of Banach’s contraction principle in ordered Banach spaces

Proyecciones (Antofagasta)
In this article we establish a version of Banach’s contraction principle in ordered Banach spaces. This version is adapted to prove existence and uniqueness results for an integral equation or a boundary value problem depending on the derivative.
openaire   +1 more source