Existence and Uniqueness of Solution for a Class of Nonlinear Fractional Order Differential Equations

Azizollah Babakhani and Dumitru Baleanu

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We discuss the existence and uniqueness of solution to nonlinear fractional order ordinary differential equations (𝒟α − ρt𝒟β)x(t) = f(t, x(t), 𝒟γx(t)), t ∈ (0, 1) with boundary conditions x(0) = x0, x(1) = x1 or satisfying the initial conditions x(0) = 0, x′(0) = 1, where 𝒟α denotes Caputo fractional derivative, ρ is constant, 1

Date: 2012
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https://doi.org/10.1155/2012/632681

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:632681

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