A uniqueness criterion for fractional differential equations with Caputo derivative
- First Online:
- Cite this article as:
- Băleanu, D., Mustafa, O.G. & O’Regan, D. Nonlinear Dyn (2013) 71: 635. doi:10.1007/s11071-012-0449-4
- 468 Downloads
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.