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math-ph2013★ 2 cited
Existence and Solution-representation of IVP for LFDE with Generalized Riemann-Liouville fractional derivatives and terms
Myong-Ha Kim, Guk-Chol Ri, Hyong-Chol O
This paper provides the existence and representation of solution to an initial value problem for the general multi-term linear fractional differential equation with generalized Rie…
math-ph2012★ 2 cited
Existence and Uniqueness of the Solution to a Nonlinear Differential Equation with Caputo Fractional Derivative in the Space of Continuously Differentiable Functions
Sunae Pak, Myongha Kim
In the paper, we considered the existence and uniqueness of the global solution in the space of continuously differentiable functions for a nonlinear differential equation with the…
math-ph2012★ 16 cited
Explicit Representations of Green's Function for Linear Fractional Differential Operator with Variable Coefficients
Myong-Ha Kim, Hyong-Chol O
We provide explicit representations of Green's functions for general linear fractional differential operators with {\it variable coefficients} and Riemann-Liouvilles derivatives. W…