@Article{JPDE-8-159, author = {Malgorzata , Peszynska}, title = {Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media}, journal = {Journal of Partial Differential Equations}, year = {1995}, volume = {8}, number = {2}, pages = {159--173}, abstract = { An analysis of an integro-differential equation with a convolution term is given. Such equations arise in modelling of flows th rough fissured media, and these integral terms account for fading memory effects exhibited by the flow. We proposed a convergent semi-discrete approximation of the convolution term with a possibly singular kernel. The approximation scheme leads to the existence/uniqueness result for the problem and has strongly favorable numerical aspects.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5649.html} }