Mild and classical solutions to a fractional singular second order evolution problem

Mild and classical solutions to a fractional singular second order evolution problem

Existence and uniqueness of mild and classical solutions are discussed for an abstract second-order evolution problem. The nonlinearity contains a local term and a non-local term. The non-local term is an integral in the form of a convolution of a singular kernel and a regular function involving fra...

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Bibliographic Details
Main Author: Nasser-Eddine Tatar
Format: Article
Language:English
Published: University of Szeged 2012-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
cauchy problem
cosine family
fractional derivative
fractional non-local conditions
mild solutions
second-order abstract problem
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1530

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1530

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