检索结果-南通市图书馆

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR fractional differential equations WITH NON-SEPARATED TYPE INTEGRAL BOUNDARY CONDITIONS

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2011年第6期31卷 2122-2130页

作者： Bashir Ahmad Juan J. Nieto Ahmed Alsaedi Department of Mathematics Faculty of ScienceKing Abdulaziz University Departamento de Anlisis Matemtico Facultad de MatemticasUniversidad de Santiago de Compostela

In this paper, we study a boundary value problem of nonlinear fractional dif- ferential equations of order q （1 〈 q 〈 2） with non-separated integral boundary conditions. Some new existence and uniqueness results are obtained by using some standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also presented. We extend previous results even in the integer case q = 2.

关键词： fractional differential equations non-separated integral boundary conditions contraction principle Krasnoselskii's fixed point theorem LeraySchauder degree

Well-posedness of a kind of nonlinear coupled system of fractional differential equations

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2016年第6期59卷 1209-1220页

作者： ZHOU XiaoJun XU ChuanJu School of Mathematical Sciences Xiamen University School of Mathematics and Computer Science Guizhou Normal University

We study the boundary value problem of a coupled differential system of fractional order, and prove the existence and uniqueness of solutions to the considered problem. The underlying differential system is featured by a fractional differential operator, which is defined in the Riemann-Liouville sense, and a nonlinear term in which different solution components are coupled. The analysis is based on the reduction of the given system to an equivalent system of integral equations. By means of the nonlinear alternative of Leray-Schauder,the existence of solutions of the factional differential system is obtained. The uniqueness is established by using the Banach contraction principle.

关键词： fractional differential equations nonlinear coupled system existence and uniqueness of solutions

NEW EXISTENCE RESULTS OF POSITIVE SOLUTION FOR A CLASS OF NONLINEAR fractional differential equations

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2013年第3期33卷 847-854页

作者：李楠王长有 Department of Applied Mathematics Southwestern University of Finance and Economics College of Mathematics and Physics Chongqing University of Posts and Telecommunications

In this article, the existence and uniqueness of positive solution for a class of nonlinear fractional differential equations is proved by constructing the upper and lower control functions of the nonlinear term without any monotone requirement. Our main method to the problem is the method of upper and lower solutions and Schauder fixed point theorem. Finally, we give an example to illuminate our results.

关键词： fractional differential equations positive solution upper and lower solutions existence and uniqueness fixed point theorem

THREE POINT BOUNDARY VALUE PROBLEMS FOR NONLINEAR fractional differential equations

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2011年第4期31卷 1337-1346页

作者： Mujeeb ur Rehman Rahmat Ali Khan Naseer Ahmad Asif National University of Sciences and Technology (NUST) Centre for Advanced Mathematics and Physics University of Malakand Chakdara Dir(L) Khyber Pakhtunkhawa Pakistan

In this paper, we study existence and uniqueness of solutions to nonlinear three point boundary value problems for fractional differential equation of the type c D δ 0＋ u（t） = f （t, u（t）, c D σ 0＋ u（t））, t ∈ [0, T ], u（0） = αu（η）, u（T ） = βu（η）, where 1 〈 δ 〈 2, 0 〈 σ 〈 1, α, β∈ R, η∈ （0, T ）, αη（1 -β）＋（1-α）（T βη） = 0 and c D δ 0＋ , c D σ 0＋ are the Caputo fractional derivatives. We use Schauder fixed point theorem and contraction mapping principle to obtain existence and uniqueness results. Examples are also included to show the applicability of our results.

关键词： fractional differential equations three point boundary conditions existence and uniqueness results

Toward a New Algorithm for Nonlinear fractional differential equations

在线全文

学校读者我要写书评

暂无评论

Advances in Applied Mathematics and Mechanics 2013年第2期5卷 222-234页

作者： Fadi Awawdeh S.Abbasbandy Department of Mathematics Hashemite UniversityJordan Department of Mathematics Imam Khomeini International UniversityGhazvin 34149-16818Iran

This paper is concerned with the development of an efficient algorithm for the analytic solutions of nonlinear fractional differential *** proposed algorithm Laplace homotopy analysis method(LHAM)is a combined form of the Laplace transform method with the homotopy analysis *** biggest advantage the LHAM has over the existing standard analytical techniques is that it overcomes the difficulty arising in calculating complicated ***,the solution procedure is easier,more effective and *** examples are examined to demonstrate the accuracy and efficiency of the proposed algorithm.

关键词： Homotopy analysis method Laplace transform fractional differential equations

A superlinear convergence scheme for nonlinear fractional differential equations and its fast implement

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Modeling, Simulation, and Scientific Computing 2019年第1期10卷 1-16页

作者： Haobo Gong Jingna Zhang Hao Guo Jianfei Huang College of Mathematical Sciences Yangzhou University Yangzhou 225002P.R.China

In this paper,we first construct an efficient scheme for nonlinear Caputo fractional differential equations with the initial value and the fractional degree 0<α<***,the unconditional stability and the superlinear con... 详细信息

In this paper,we first construct an efficient scheme for nonlinear Caputo fractional differential equations with the initial value and the fractional degree 0fractional operators,the new scheme is time-consuming for long-time ***,a fast implement of the proposed scheme is presented based on the sum-of-exponentials(SOE)approximation for the kernel tα−1 on the interval[h,T]in the Riemann-Liouville integral,where h is the *** numerical experiments are provided to support the theoretical results of the new scheme and demonstrate the computational performance of its fast implement.

关键词： fractional differential equations nonlinear system stability superlinear convergence fast implement

Existence of Boundary Value Problems for Impulsive fractional differential equations with a Parameter

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications on Applied Mathematics and Computation 2021年第4期3卷 585-604页

作者： Jin You Mengrui Xu Shurong Sun School of Mathematical Sciences University of JinanJinan 250022ShandongChina

We investigate a class of boundary value problems for nonlinear impulsive fractional differential equations with a *** the deduction of Altman’s theorem and Krasno-selskii’s fixed point theorem,the existence of this... 详细信息

关键词： fractional differential equations Boundary value problems Impulsive Existence

Explicit Iterative Sequences of Positive Solutions for a Class of fractional differential equations on an Infinite Interval

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Mathematical Research with Applications 2020年第1期40卷 13-25页

作者： Haiyan ZHANG Yaohong LI School of Mathematics and Statistics Suzhou University School of Mathematics Sciences Anhui University

By applying the monotone iterative method, this study develops two explicit monotone iterative sequences for approximating the minimal and maximal positive solutions. At the same time, by applying the Banach fixed-point theory, an explicit iterative sequence and error estimate for approximating the unique positive solution is obtained. Some examples are given to illustrate the application of the results.

关键词： monotone iterative method iterative sequences fractional differential equations infinite interval

Analysis of Formal and Analytic Solutions for Singularities of the Vector fractional differential equations

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2017年第1期33卷 59-73页

作者： Azizollah Babakhani Department of Mathematics Faculty of Basic Science Babol Noshirvani University of Technology Shariati Ave. Babol 47148-71167 Iran

In this article, we study on the existence of solution for a singularities of a system of nonlinear fractional differential equations （FDE）. We construct a formal power series solution for our considering FDE and prove convergence of formal so- lutions under conditions. -We use the Caputo fractional differential operator and the nonlinearity depends on the fractional derivative of an unknown function.

关键词： fractional differential equations formal power series solution.