A Uniqueness Criterion for Fractional Differential Equations With Caputo Derivative

Mustafa, Octavian G.O'Regan, DonalBaleanu, Dumitru02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2017-03-132025-09-182017-03-132025-09-182013Baleanu, 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/s11071-012-0449-40924-090Xhttps://doi.org/10.1007/s11071-012-0449-4https://hdl.handle.net/123456789/10380We 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.eninfo:eu-repo/semantics/closedAccessFractional Differential EquationUniqueness Of SolutionCaputo Differential OperatorRiemann-Liouville DerivativeA Uniqueness Criterion for Fractional Differential Equations With Caputo DerivativeA uniqueness criterion for fractional differential equations with Caputo derivativeArticle10.1007/s11071-012-0449-42-s2.0-84893149198