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A uniqueness criterion for fractional differential equations with Caputo derivative |
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| Authors: | Dumitru Băleanu Octavian G Mustafa Donal O’Regan |
| Institution: | 1. Department of Mathematics & Computer Science, ?ankaya University, ?gretmenler Cad. 14, 06530, Balgat, Ankara, Turkey 2. Institute of Space Sciences, M?gurele, Bucure?ti, Romania 3. Faculty of Exact Sciences, University of Craiova, A.I. Cuza 13, 200534, Craiova, Romania 4. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland |
| Abstract: | We investigate the uniqueness of solutions to an initial value problem associated with a nonlinear fractional differential equation of order α∈(0,1). The differential operator is of Caputo type whereas the nonlinearity cannot be expressed as a Lipschitz function. Instead, the Riemann–Liouville derivative of this nonlinearity verifies a special inequality. |
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