A uniqueness criterion for fractional differential equations with Caputo derivative
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Date
2013
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Publisher
Springer
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Abstract
We investigate the uniqueness of solutions to an initial value problem associated with a nonlinear fractional differential equation of order alpha a(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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Keywords
Fractional Differential Equation, Uniqueness Of Solution, Caputo Differential Operator, Riemann-Liouville Derivatives
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Citation
Baleanu, D., Mustafa, O.G., O'regan, D. (2013). A uniqueness criterion for fractional differential equations with Caputo derivative. Nonlinear Dynamics, 71(4), 635-640. http://dx.doi.org/10.1007/s11071-012-0449-4
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Source
Nonlinear Dynamics
Volume
71
Issue
4
Start Page
635
End Page
640