Semi-Linear Fractional $σ$-Evolution Equations with Nonlinear Memory

Abdelatif Kainane Mezadek

doi:10.4208/jpde.v33.n4.1

Semi-Linear Fractional $σ$-Evolution Equations with Nonlinear Memory

Authors

Abdelatif Kainane Mezadek Université Hassiba Benbouali de Chlef, Faculté des Sciences Exactes et Informatique, Départment de Mathematiques, P. O. Box 151, 02000 Ouled Fares Chlef, Algeria

DOI:

https://doi.org/10.4208/jpde.v33.n4.1

Keywords:

Fractional equations, $σ$-evolution equations, global in time existence, small data solutions, nonlinear memory.

Abstract

In this paper we study the local or global (in time) existence of small data solutions to semi-linear fractional $\u03c3$\u2212evolution equations with nonlinear memory. Our main goal is to explain on the one hand the influence of the memory term and on the other hand the influence of higher regularity of the data on qualitative properties of solutions.<\/p>"

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Published

2020-08-04

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Issue

Vol. 33 No. 4 (2020)

Section

Articles

How to Cite

Semi-Linear Fractional $σ$-Evolution Equations with Nonlinear Memory. (2020). Journal of Partial Differential Equations, 33(4), 291-312. https://doi.org/10.4208/jpde.v33.n4.1