Abstract and Applied Analysis

Asymptotically Linear Solutions for Some Linear Fractional Differential Equations

Dumitru Băleanu, Octavian G. Mustafa, and Ravi P. Agarwal

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Abstract

We establish here that under some simple restrictions on the functional coefficient a ( t ) the fractional differential equation 0 D t α [ t x - x + x ( 0 ) ] + a ( t ) x = 0 , t > 0 , has a solution expressible as c t + + o ( 1 ) for t + , where 0 D t α designates the Riemann-Liouville derivative of order α ( 0 , 1 ) and c , .

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 865139, 8 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170927

Digital Object Identifier
doi:10.1155/2010/865139

Mathematical Reviews number (MathSciNet)
MR2746005

Zentralblatt MATH identifier
1210.34005

Citation

Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. Asymptotically Linear Solutions for Some Linear Fractional Differential Equations. Abstr. Appl. Anal. 2010 (2010), Article ID 865139, 8 pages. doi:10.1155/2010/865139. https://projecteuclid.org/euclid.aaa/1313170927


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