Journal
NONLINEAR DYNAMICS
Volume 84, Issue 1, Pages 3-7Publisher
SPRINGER
DOI: 10.1007/s11071-015-2085-2
Keywords
Conservation laws; Burgers' equation; Transport equation; Diffusion equation; Local fractional derivative
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The local fractional Burgers' equation (LFBE) is investigated from the point of view of local fractional conservation laws envisaging a nonlinear local fractional transport equation with a linear non-differentiable diffusion term. The local fractional derivative transformations and the LFBE conversion to a linear local fractional diffusion equation are analyzed.
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