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Mathematics Subject Classification: 26A33; 70H03, 70H25, 70S05; 49S05
We treat the fractional order differential equation that contains the left
and right Riemann-Liouville fractional derivatives. Such equations arise as
the Euler-Lagrange equation in variational principles with fractional derivatives.
We reduce the problem to a Fredholm integral equation and construct
a solution in the space of continuous functions. Two competing approaches
in formulating differential equations of fractional...
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