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yangwg8088铜虫 (著名写手)
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[求助]
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Journal of Applied Mathematics and Computing February 2014, Volume 44, Issue 1-2, pp 39-59 Positive solutions for nonlinear Caputo fractional differential equations with integral boundary conditions 如果检索了，请发个检索页截屏 |
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darkblue8768
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2楼2014-04-24 10:32:46
darkblue8768
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Accession number: 20121014834341 Title: Positive solutions of singular Caputo fractional differential equations with integral boundary conditions Authors: Wei, Zhongli1, 2 Email author jnwzl@yahoo.com.cn; Pang, Changci1; Ding, Youzheng1 Author affiliation: 1 Department of Mathematics, Shandong Jianzhu University, Jinan, Shandong 250101, China 2 School of Mathematics, Shandong University, Jinan, Shandong 250100, China Corresponding author: Wei, Z. (jnwzl@yahoo.com.cn) Source title: Communications in Nonlinear Science and Numerical Simulation Abbreviated source title: Comm. Nonlinear Sci. Numer. Simul. Volume: 17 Issue: 8 Issue date: August 2012 Publication year: 2012 Pages: 3148-3160 Language: English ISSN: 10075704 Document type: Journal article (JA) Publisher: Elsevier, P.O. Box 211, Amsterdam, 1000 AE, Netherlands Abstract: In this paper, we investigate the existence of positive solutions of singular super-linear (or sub-linear) integral boundary value problems for fractional differential equation involving Caputo fractional derivative. Necessary and sufficient conditions for the existence of C3[0,1] positive solutions are given by means of the fixed point theorems on cones. Our nonlinearity f(t,x) may be singular at t=0 and/or t=1. © 2011 Elsevier B.V. Number of references: 28 Main heading: Boundary conditions Controlled terms: Boundary value problems - Differentiation (calculus) - Functional analysis Uncontrolled terms: Caputo fractional derivatives - Fixed point theorem - Fractional differential equations - Positive solution - Singular integral Classification code: 921 Mathematics DOI: 10.1016/j.cnsns.2011.12.010 Database: Compendex Compilation and indexing terms, © 2013 Elsevier Inc. |
3楼2014-04-24 10:33:06
darkblue8768
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4楼2014-04-24 10:38:48
darkblue8768
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【答案】应助回帖
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Check record to add to Selected Records 1. Add to selected records Accession number: 20140317197838 Title: Positive solutions for nonlinear Caputo fractional differential equations with integral boundary conditions Authors: Yang, Wengui1 Email author wgyang0617@yahoo.com Author affiliation: 1 Sanmenxia Polytechnic, Ministry of Public Education, Sanmenxia 472200, China Corresponding author: Yang, W. (wgyang0617@yahoo.com) Source title: Journal of Applied Mathematics and Computing Abbreviated source title: J. Appl. Math. Comp. Volume: 44 Issue: 1-2 Issue date: February 2014 Publication year: 2014 Pages: 39-59 Language: English ISSN: 15985865 Document type: Journal article (JA) Publisher: Springer Verlag, Tiergartenstrasse 17, Heidelberg, D-69121, Germany Abstract: In this paper, we consider the properties of Green's function for a class of nonlinear Caputo fractional differential equations with integral boundary conditions by constructing an available integral operator. By means of well-known fixed point theorems and lower and upper solutions method, some new existence and nonexistence criteria of single or multiple positive solutions for fractional differential equation boundary value problems are established. As applications, some interesting examples are presented to illustrate the main results. © 2013 Korean Society for Computational and Applied Mathematics. Number of references: 39 Main heading: Boundary conditions Controlled terms: Fixed point arithmetic - Functional analysis - Integral equations Uncontrolled terms: Existence and non existences - Fixed point theorems - Fractional differential equations - Integral boundary conditions - Integral operators - Lower and upper solution - Multiple positive solutions - Nonlinear fractional differential equations Classification code: 921 Mathematics DOI: 10.1007/s12190-013-0679-8 Database: Compendex Compilation and indexing terms, © 2013 Elsevier Inc. |
5楼2014-04-24 10:39:22