34 citations · 59 across the 6 of their papers we have counts for
7 papers
On the relation between non-homogeneous fractional Burgers equations and time-dependent harmonic oscillator
P. Artale Harris, R. Droghei, R. Garra +1
In this paper we discuss the relation between non-homogeneous nonlinear fractional diffusive equations and the Schrodinger equation with time-dependent harmonic potential. It is we…
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…
Effects of an impermeable wall in dissipative dynamics of saturated porous media
Pietro Artale Harris
A phase transition model for porous media in consolidation is studied. The model is able to describe the phenomenon of fluid-segregation during the consolidation process, i.e., the…
Weak solutions to Allen-Cahn-like equations modelling consolidation of porous media
P. Artale Harris, E. N. M. Cirillo, A. Muntean
We study the weak solvability of a system of coupled Allen-Cahn-like equations resembling cross-diffusion which is arising as a model for the consolidation of saturated porous medi…
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…
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…
Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method
P. Artale Harris, R. Garra
In this paper we study the analytic solutions of Burgers-type nonlinear fractional equations by means of the Invariant Subspace Method. We first study a class of nonlinear equation…