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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Texas State University
2012-05-01
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Online Access: | http://ejde.math.txstate.edu/Volumes/2012/80/abstr.html |
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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 |
_version_ |
1725625964498518016 |