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math-ph2016★ 34 cited
Nonlinear heat conduction equations with memory: physical meaning and analytical results
Pietro Artale Harris, Roberto Garra
We study nonlinear heat conduction equations with memory effects within the framework of the fractional calculus approach to the generalized Maxwell-Cattaneo law. Our main aim is t…
math-ph2014★ 3 cited
Nonlinear time-fractional dispersive equations
P. Artale Harris, R. Garra
In this paper we study some cases of time-fractional nonlinear dispersive equations (NDEs) involving Caputo derivatives, by means of the invariant subspace method. This method allo…
math-ph2014
Heterogeneous perturbation of fluid density and solid elastic strain in consolidating porous media
P. Artale Harris, E. N. M. Cirillo, G. Sciarra
The occurrence of heterogeneous perturbations of fluid mass density and solid elastic strain of a porous continuum, as a consequence of its undrained response is a very important t…