Existence of Solutions for Fractional Differential Equations with p-Laplacian Operator and Integral Boundary Conditions by Jingli Xie, Lijing Duan

“…Existence of solutions is obtained by using the fixed point theorem, and an example is given to show the applicability of our main result.…”
Get full text

Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay by Azizollah Babakhani

“…Our analysis relies on a nonlinear alternative of Leray-Schauder type and Krasnoselskii's fixed point theorem in a cone.…”
Get full text

A Remark on a Nonlocal-in-Time Heat Equation by Walker, Christoph

“…Schauder’s fixed point theorem is used to derive the existence of solutions to a semilinear heat equation. …”
Get full text

Existence of Positive Periodic Solutions for a Class of Higher-Dimension Functional Differential Equations with Impulses by Zhang Suping, Jiang Wei

“…By employing the Krasnoselskii fixed point theorem, we establish some criteria for the existence of positive periodic solutions of a class of n-dimension periodic functional differential equations with impulses, which improve the results of the literature.…”
Get full text

Positive Solutions for Systems of Nonlinear Higher Order Differential Equations with Integral Boundary Conditions by Yaohong Li, Xiaoyan Zhang

“…By constructing some general type conditions and using fixed point theorem of cone, this paper investigates the existence of at least one and at least two positive solutions for systems of nonlinear higher order differential equations with integral boundary conditions. …”
Get full text

Positive Solutions to a Second-Order Discrete Boundary Value Problem by Xiaojie Lin, Wenbin Liu

“…We are concerned with second-order discrete boundary value problems and obtain some sufficient conditions for the existence of at least one positive solution by using the fixed point theorem due to Krasnosel'skii on a cone.…”
Get full text

Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations by Junwei Liu, Chuanyi Zhang

“…Our results are based on Krasnoselskii’s fixed-point theorem combined with an exponentially stable strongly continuous operator semigroup. …”
Get full text

Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type by Zhinan Xia

“…The measure of noncompactness and the fixed-point theorem of Darbo are the main tools in carrying out our proof. …”
Get full text

Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation by Taiyong Chen, Wenbin Liu

“…Under certain nonlinear growth conditions of the nonlinearity, two new existence results are obtained by using Schaefer's fixed point theorem. As an application, an example to illustrate our results is given.…”
Get full text

Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions by Mohamed I. Abbas

“…Moreover, other existence results are also obtained by using the Krasnoselskii fixed point theorem. An example is given to illustrate the main results.…”
Get full text

Positive Solutions for a System of Fractional Differential Equations with Two Parameters by Hongyu Li, Junting Zhang

“…In this paper, the existence of positive solutions in terms of different values of two parameters for a system of conformable-type fractional differential equations with the p-Laplacian operator is obtained via Guo-Krasnosel’skii fixed point theorem.…”
Get full text

Solvability of integral equations via the technique of measures of noncompactness by Babak Mohammadi, Mohammad Mursaleen, Vahid Parvaneh

“….], we extend here Darbo’s fixed point theorem in a Banach space using the combined technique of Wardowski-Mizoguchi-Takahashi contraction. …”
Get full text

An extension of a theorem of Sahab, Khan, and Sessa by A. R. Khan, N. Hussain

“…A fixed point theorem of Fisher and Sessa is generalized to locally convex spaces and the new result is applied to extend a recent theorem on invariant approximation of Sahab, Khan, and Sessa.…”
Get full text

Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations by Zhinan Xia

“…The working tools are based on the exponential dichotomy theory and fixed point theorem.…”
Get full text

On a Predator-Prey Model Involving Age and Spatial Structure by Okana S. Sougué, Oumar Traoré

“…In this paper, we study the mathematical analysis of a nonlinear age-dependent predator–prey system with diffusion in a bounded domain with a non-standard functional response. Using the fixed point theorem, we first show a global existence result for the problem with spatial variable. …”
Get full text

Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions by Guotao Wang, Sanyang Liu, Lihong Zhang

“…By employing known Guo-Krasnoselskii fixed point theorem, we investigate the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional differential equation with integral boundary conditions.…”
Get full text

Solving an Integral Equation via Orthogonal Branciari Metric Spaces by Aiman Mukheimer, Arul Joseph Gnanaprakasam, Absar Ul Haq, Senthil Kumar Prakasam, Gunaseelan Mani, Imran Abbas Baloch

“…In this article, we present an orthogonal L-contraction mapping concepts and prove a fixed point theorem on orthogonal complete Branciari metric spaces. …”
Get full text

Positive Solution to a Fractional Boundary Value Problem by A. Guezane-Lakoud, R. Khaldi

“…By means of Banach contraction principle, Leray-Schauder nonlinear alternative, properties of the Green function, and Guo-Krasnosel'skii fixed point theorem on cone, some results on the existence, uniqueness, and positivity of solutions are obtained.…”
Get full text

A Nonlinear Implicit Fractional Equation with Caputo Derivative by Ameth Ndiaye

“…Then, another result that deals with the existence of at least one solution is delivered and some sufficient conditions for this result are established by means of the fixed point theorem of Schaefer. At the end, we discuss two examples to illustrate the applicability of the main results.…”
Get full text

Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow by Khaled Bouazzaoui, Mohammed Aiboudi, Sameh Elsayed Ahmed

“…The main tools are Schäfer’s fixed-point theorem, the Fredholm alternative, and some theorems on second-order elliptic operators.…”
Get full text