Browsing by Author "Yang X.J."
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Item Advances on integrodifferential equations and transforms(2015-01-01) Srivastava H.M.; Yang X.J.; Baleanu D.; Nieto J.J.; Hristov J.Item Modelling fractal waves on shallow water surfaces via local fractional korteweg-de vries equation(2014-01-01) Yang X.J.; Hristov J.; Srivastava H.M.; Ahmad B.A mathematical model of fractal waves on shallow water surfaces is developed by using the concepts of local fractional calculus. The derivations of linear and nonlinear local fractional versions of the Korteweg-de Vries equation describing fractal waves on shallow water surfaces are obtained. © 2014 Xiao-Jun Yang et al.Item Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow(2016-04-01) Yang X.J.; Machado J.A.T.; Hristov J.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.Item Special issue on advances in fractional dynamics in mechanical engineering(2016-06-01) Yang X.J.; Lopes A.M.; Hristov J.Y.; Cattani C.; Baleanu D.; Mohyud-Din S.T.