On positive solutions of nonlinear fractional differential equations

Daria Bugajewska; Mirosława Zima

doi:10.3934/proc.2003.2003.141

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2003, Volume 2003: 141-146. Doi: 10.3934/proc.2003.2003.141 open access

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On positive solutions of nonlinear fractional differential equations

Daria Bugajewska^1, and
Mirosława Zima²

1.
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul.Umultowska 87, 61-614 Poznań
2.
Institute of Mathematics, Rejtana 16A, 35-310 Rzeszów

Received: August 31, 2002

Revised: February 28, 2003

Published: March 2003

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The aim of this note is to prove some existence and uniqueness theorems on positive solutions of some nonlinear fractional equations. Classical as well as Carathéodory’s solutions are under our considerations.

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Mathematics Subject Classification: Primary: 34A12, 26A33; Secondary: 47H07.

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