128 citations · 433 across the 22 of their papers we have counts for
23 papers
Integral Representations for Interface Problems for the Barenblatt-Sobolev-Galpern Pseudoparabolic Equation
Andreas Chatziafratis, Sergey A. Rukolaine, Elias C. Aifantis
We obtain novel integral representations, expressed as contour integrals in the complex Fourier plane, for the solution of fully nonhomogeneous initial-boundary-value as well as in…
Higher-order diffusion and Cahn-Hilliard-type models revisited on the half-line
A. Chatziafratis, A. Miranville, G. Karali +2
In this paper, we solve explicitly and analyze rigorously inhomogeneous initial-boundary-value problems (IBVP) for several fourth-order variations of the traditional diffusion equa…
Transmissibility in Interactive Nanocomposite Diffusion: The Nonlinear Double-Diffusion Model
Amit K Chattopadhyay, Bidisha Kundu, Sujit Kumar Nath +1
Model analogies and exchange of ideas between physics or chemistry with biology or epidemiology have often involved inter-sectoral mapping of techniques. Material mechanics has ben…
Gradient Extension of Classical Material Models From Nuclear & Condensed Matter Scales to Earth & Cosmological Scales
Elias C. Aifantis
The various mathematical models developed in the past to interpret the behavior of natural and manmade materials were based on observations and experiments made at that time. Class…
Fractional Generalizations of Gradient Mechanics
E. C. Aifantis
This short chapter provides a fractional generalization of gradient mechanics, an approach (originally advanced by the author in the mid 80s) that has gained world-wide attention i…
Fractional Generalization of Higher-Order Diffusion
K. Parisis, E. C. Aifantis
A fractional generalization of the second author's higher-order diffusion theory is given and fundamental solutions are obtained. The extension from the integer to the fractional c…