Positive solutions for fractional differential equations with variable coefficients

In this article, we study the existence of the positive solutions for a class of differential equations of fractional order with variable coefficients. The equation of this type plays an important role in the description and modeling of control systems, such as $PD^{mu}$-controller. The differen...

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Main Authors: Yi Chen, Zhanmei Lv
Format: Article
Language:English
Published: Texas State University 2012-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/80/abstr.html
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spelling doaj-8481e0ab94524162a6fd4e58872c10832020-11-24T23:05:43ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-05-01201280,110Positive solutions for fractional differential equations with variable coefficientsYi ChenZhanmei LvIn this article, we study the existence of the positive solutions for a class of differential equations of fractional order with variable coefficients. The equation of this type plays an important role in the description and modeling of control systems, such as $PD^{mu}$-controller. The differential operator is taken in the Riemann-Liouville sense. Our analysis relies on the Leggett-Williams fixed point theorem. http://ejde.math.txstate.edu/Volumes/2012/80/abstr.htmlFractional differential equationsfixed point theorempositive solutionmultiplicity solution
collection DOAJ
language English
format Article
sources DOAJ
author Yi Chen
Zhanmei Lv
spellingShingle Yi Chen
Zhanmei Lv
Positive solutions for fractional differential equations with variable coefficients
Electronic Journal of Differential Equations
Fractional differential equations
fixed point theorem
positive solution
multiplicity solution
author_facet Yi Chen
Zhanmei Lv
author_sort Yi Chen
title Positive solutions for fractional differential equations with variable coefficients
title_short Positive solutions for fractional differential equations with variable coefficients
title_full Positive solutions for fractional differential equations with variable coefficients
title_fullStr Positive solutions for fractional differential equations with variable coefficients
title_full_unstemmed Positive solutions for fractional differential equations with variable coefficients
title_sort positive solutions for fractional differential equations with variable coefficients
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2012-05-01
description In this article, we study the existence of the positive solutions for a class of differential equations of fractional order with variable coefficients. The equation of this type plays an important role in the description and modeling of control systems, such as $PD^{mu}$-controller. The differential operator is taken in the Riemann-Liouville sense. Our analysis relies on the Leggett-Williams fixed point theorem.
topic Fractional differential equations
fixed point theorem
positive solution
multiplicity solution
url http://ejde.math.txstate.edu/Volumes/2012/80/abstr.html
work_keys_str_mv AT yichen positivesolutionsforfractionaldifferentialequationswithvariablecoefficients
AT zhanmeilv positivesolutionsforfractionaldifferentialequationswithvariablecoefficients
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