Asymptotically Linear Solutions for Some Linear Fractional Differential Equations. (25th November 2010)

• Record Type: Journal Article
• Authors: Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
• Other Names: Eloe Paul Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2010(2010)
• Publication Date: 2010-11-25
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2010/865139
• Languages: English
• ISSNs: 1085-3375

Abstract

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