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A Kamenev-type oscillation result for a linear [formula omitted]-order fractional differential equation.

Authors :
Băleanu, Dumitru
Mustafa, Octavian G.
O’Regan, Donal
Source :
Applied Mathematics & Computation. May2015, Vol. 259, p374-378. 5p.
Publication Year :
2015

Abstract

We investigate the eventual sign changing for the solutions of the linear equation x ( α ) ′ + q ( t ) x = 0 , t ⩾ 0 , when the functional coefficient q satisfies the Kamenev-type restriction lim sup t → + ∞ 1 t ε ∫ t 0 t ( t - s ) ε q ( s ) ds = + ∞ for some ε > 2 , t 0 > 0 . The operator x ( α ) is the Caputo differential operator and α ∈ ( 0 , 1 ) . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00963003
Volume :
259
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
102218480
Full Text :
https://doi.org/10.1016/j.amc.2015.02.045