Nonlocal diffusion, a Mittag-Leffler function and a two-dimensional Volterra integral equation

DOI10.1016/j.jmaa.2014.09.067zbMath1302.45005OpenAlexW2003766558MaRDI QIDQ465400

Sean McKee, José Alberto Cuminato

Publication date: 31 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.09.067

zbMATH Keywords

Mittag-Leffler functionGronwall lemmanonlocal diffusiontwo-dimensional singular Volterra integral equations

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

Related Items (4)

An efficient numerical algorithm to solve Volterra integral equation of second kind ⋮ Existence and stability of Stieltjes quadratic functional integral equations ⋮ Numerical solution of a model for stochastic polymer equation driven by space-time Brownian motion via homotopy perturbation method ⋮ Analytical solutions for the multi-term time-space fractional reaction-diffusion equations on an infinite domain

Cites Work

• The proof of an inequality arising in a reaction-diffusion study in a small cell
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