On the oscillation of fractional differential equations

By Said R. Grace, Ravi P. Agarwal, P. J. Wong, A. Zafer. 2012

151 citations recorded by the source corpus.

In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form $D_a^q x + f_1 (t,x) = v(t) + f_2 (t,x),\mathop {\lim }\limits_{t \to a} J_a^{1 - q} x(t) = b_1 $, where Daq denotes the Riemann-Liouville differential operator of order q, 0 < q ≤ 1. The results are also stated when the Riemann-Liouville differential operator is replaced by Caputo’s differential operator.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7ac9a0a12a28aa9b2f1f1cf985b2f60617c69a6b

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In Applied Mathematics

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

Fuzzy fractional integral equations under compactness type condition (2012, background): “A systematic study of the fractional differential equations can be found in [2], [3], [4], [13], [14], [15], [18], [22], [29], [31].”