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We present here our most recent results ([1def]) about the definition of non-linear Weiertrass-type integrals over BV varieties, possibly discontinuous and not necessarily Sobolev's.
Mathematics Subject Classification: 26A33; 70H03, 70H25, 70S05; 49S05We 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 order...
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