A Kamenev-Type Oscillation Result For a Linear (1+Alpha)-Order Fractional Differential Equation
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Date
2015
Authors
Baleanu, Dumitru
Mustafa, Octavian G.
O'Regan, Donal
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Elsevier Science
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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.
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Keywords
Fractional Differential Equation, Oscillatory Solution, Caputo Differential Operator, Riccati Inequality, Averaging of Coefficients
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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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Applied Mathematics and Computation
Volume
259
Issue
Start Page
374
End Page
378