Asymptotically Linear Solutions for Some Linear Fractional Differential Equations-Reference-Cited by-同舟云学术

Asymptotically Linear Solutions for Some Linear Fractional Differential Equations

Published:2010 Issue: Volume:2010 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Baleanu Dumitru¹,Mustafa Octavian G.²,Agarwal Ravi P.³

Affiliation:

1. Department of Mathematics & Computer Science, Çankaya University, Ogretmenler Cad. 14 06530, Balgat, Ankara, Turkey

2. Department of Mathematics & Computer Science, University of Craiova, DAL, Tudor Vladimirescu 26, 200534 Craiova, Romania

3. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA

Abstract

We establish here that under some simple restrictions on the functional coefficienta(t)the fractional differential equationD0tα[tx′−x+x(0)]+a(t)x=0, t>0, has a solution expressible asct+d+o(1)fort→+∞, whereD0tαdesignates the Riemann-Liouville derivative of orderα∈(0,1)andc,d∈ℝ.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2010/865139.pdf

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