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441
The Existence of Solutions to a System of Discrete Fractional Boundary Value Problems
Published 2012-01-01“…The existence of solutions to this problem is established by the Guo-Krasnosel'kii theorem and the Schauder fixed-point theorem, and some examples are given to illustrate the main results.…”
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442
On Multivalued Fuzzy Contractions in Extended b-Metric Spaces
Published 2021-01-01“…Thereafter, we introduce the concept of multivalued fuzzy contraction mappings and prove related α-fuzzy fixed point theorems in the context of extended b-metric spaces that generalize Nadler’s fixed point theorem as well as many preexisting results in the literature. …”
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443
Multistability and Instability of Competitive Neural Networks with Mexican-Hat-Type Activation Functions
Published 2014-01-01“…By tracking the dynamics of each state component and applying fixed point theorem and analysis method, some sufficient conditions are presented to study the multistability and instability, including the total number of equilibria, their locations, and local stability and instability. …”
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444
Spatial and Temporal Dynamics of a Viral Infection Model with Two Nonlocal Effects
Published 2019-01-01“…Then we obtain the existence of endemic steady states by Shauder fixed point theorem. A threshold dynamics is established by the approach of Lyapunov functionals. …”
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445
Existence Results for Fractional Difference Equations with Three-Point Fractional Sum Boundary Conditions
Published 2013-01-01“…The existence of at least one solution is proved by using Krasnoselskii's fixed point theorem and Leray-Schauder's nonlinear alternative. …”
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446
Iterative Analysis of the Unique Positive Solution for a Class of Singular Nonlinear Boundary Value Problems Involving Two Types of Fractional Derivatives with p-Laplacian Operator
Published 2019-01-01“…Based on the method of reducing the order of fractional derivative, some properties of the corresponding Green’s function, and the fixed point theorem of mixed monotone operator, an interesting result on the iterative sequence of the uniqueness of positive solutions is obtained under the assumption that the nonlinear term may be singular in regard to both the time variable and space variables. …”
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447
A Fast Numerical Method for the Calculation of the Equilibrium Isotopic Composition of a Transmutation System in an Advanced Fuel Cycle
Published 2012-01-01“…A fast numerical method for the calculation in a zero-dimensional approach of the equilibrium isotopic composition of an iteratively used transmutation system in an advanced fuel cycle, based on the Banach fixed point theorem, is described in this paper. The method divides the fuel cycle in successive stages: fuel fabrication, storage, irradiation inside the transmutation system, cooling, reprocessing, and incorporation of the external material into the new fresh fuel. …”
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448
Constructive Existence of (1,1)-Solutions to Two-Point Value Problems for Fuzzy Linear Multiterm Fractional Differential Equations
Published 2019-01-01“…Our existence result is based on Banach fixed point theorem and the approximate solution of our problem is obtained by applying the Haar wavelet operational matrix.…”
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449
Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application
Published 2021-01-01“…Furthermore, we present an application of a Lebesgue integral-type contraction mapping in fuzzy cone metric spaces and to prove a unique coupled fixed-point theorem.…”
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450
Dynamic Processes, Fixed Points, Endpoints, Asymmetric Structures, and Investigations Related to Caristi, Nadler, and Banach in Uniform Spaces
Published 2015-01-01“…Moreover, using these new structures, the single-valued contractions of two kinds of Banach type are defined and the new and general versions of the Banach uniqueness and iterate approximation of fixed point theorem for uniform spaces are established. …”
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451
New Results for Some Intuitionistic Fuzzy Partial Functional Differential Equations with State-Dependent Delay
Published 2024-03-01“…The main results of this paper are based on the Banach fixed point theorem. An illustrated example of our results is given with some numerical simulations for $\beta$-cuts of the intuitionistic fuzzy solutions.…”
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452
On the Existence and Stability of Positive Solutions of Eigenvalue Problems for a Class of P-Laplacian ψ-Caputo Fractional Integro-Differential Equations
Published 2023-01-01“…The study utilizes various techniques, including the analysis of Green’s function properties and the application of Guo–Krasnovelsky’s fixed point theorem on cones. By employing these methods, the research establishes novel findings concerning the existence and nonexistence of positive solutions. …”
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453
Existence and Uniqueness Results for a Class of Singular Fractional Boundary Value Problems with the p-Laplacian Operator via the Upper and Lower Solutions Approach
Published 2020-01-01“…Here, the nonlinear source term f permits singularity with respect to its time variable t. Some fixed-point theorems such as the Leray-Schauder nonlinear alternative, the Schauder fixed-point theorem, and the Banach contraction mapping principle and the properties of the Gauss hypergeometric function are used to prove our main results. …”
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454
Solvability of Nonlinear Langevin Equation Involving Two Fractional Orders with Dirichlet Boundary Conditions
Published 2010-01-01“…The contraction mapping principle and Krasnoselskii's fixed point theorem are applied to prove the existence of solutions of the problem in a Banach space.…”
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455
A Fractional Model for the Dynamics of Smoking Tobacco Using Caputo–Fabrizio Derivative
Published 2022-01-01“…The solution of the proposed model, which is carried out using a fixed-point theorem and an iterative method, exists and is unique. …”
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456
Uniqueness and Asymptotic Behavior of Positive Solutions for a Fractional-Order Integral Boundary Value Problem
Published 2012-01-01“…Our analysis relies on Schauder's fixed-point theorem and upper and lower solution method.…”
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457
Null Controllability of a Nonlinear Age Structured Model for a Two-Sex Population
Published 2021-01-01“…Our method uses first an observability inequality related to the adjoint of an auxiliary system, a null controllability of the linear auxiliary system, and after Kakutani’s fixed-point theorem.…”
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458
Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator
Published 2010-01-01“…We consider the existence and multiplicity of concave positive solutions for boundary value problem of nonlinear fractional differential equation with p-Laplacian operator D0+γ(ϕp(D0+αu(t)))+f(t,u(t),D0+ρu(t))=0, 0<t<1, u(0)=u′(1)=0, u′′(0)=0, D0+αu(t)|t=0=0, where 0<γ<1, 2<α<3, 0<ρ⩽1, D0+α denotes the Caputo derivative, and f:[0,1]×[0,+∞)×R→[0,+∞) is continuous function, ϕp(s)=|s|p-2s, p>1, (ϕp)-1=ϕq, 1/p+1/q=1. By using fixed point theorem, the results for existence and multiplicity of concave positive solutions to the above boundary value problem are obtained. …”
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459
Optimal individual strategies for influenza vaccines with imperfect efficacy and durability of protection
Published 2018-05-01“…We prove the existence of a Nash equilibrium by Kakutani's fixed point theorem in the context of non-persistent immunity. …”
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460
Positive and Nondecreasing Solutions to an m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation
Published 2012-01-01“…Our analysis relies on a fixed point theorem in partially ordered sets. Some examples are also presented to illustrate the main results.…”
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