A Kamenev-Type Oscillation Result for a Linear (1+α)-Order Fractional Differential Equation
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Date
2015
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Volume Title
Publisher
Elsevier Science inc
Open Access Color
Green Open Access
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Yes
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Abstract
We investigate the eventual sign changing for the solutions of the linear equation (x((alpha)))' + q(t)x = t >= 0, when the functional coefficient q satisfies the Kamenev-type restriction lim sup 1/t epsilon integral(t)(to) (t - s)epsilon q(s)ds = +infinity for some epsilon > 2; t(0) > 0. The operator x((alpha)) is the Caputo differential operator and alpha is an element of (0, 1). (C) 2015 Elsevier Inc. All rights reserved.
Description
Keywords
Fractional Differential Equation, Oscillatory Solution, Caputo Differential Operator, Riccati Inequality, Averaging Of Coefficients, Classical Analysis and ODEs (math.CA), FOS: Mathematics
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Fields of Science
0101 mathematics, 01 natural sciences
Citation
Baleanu, Dumitru; Mustafa, Octavian G.; O'Regan, Donal, "A Kamenev-Type Oscillation Result For a Linear (1+Alpha)-Order Fractional Differential Equation", Applied Mathematics and Computation, 259, pp. 374-378, (2015).
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Q1
Scopus Q
Q1
OpenCitations Citation Count
5
Source
Applied Mathematics and Computation
Volume
259
Issue
Start Page
374
End Page
378
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CrossRef : 4
Scopus : 12
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