A Kamenev-type oscillation result for a linear (1+alpha)-order fractional differential equation

作者：Baleanu Dumitru^*; Mustafa Octavian G; O'Regan Donal

来源：Applied Mathematics and Computation, 2015, 259: 374-378.

DOI：10.1016/j.amc.2015.02.045

• Fractional differential equation
• Oscillatory solution
• Caputo differential operator
• Riccati inequality
• Averaging of coefficients

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).

• 出版日期2015-5-15