Fractional parabolic problems with a nonlocal initial condition

B. Abdellaoui; A. Boucherif; T. M. Touaoula

doi:10.1515/mjpaa-2017-0010

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Fractional parabolic problems with a nonlocal initial condition

Moroccan Journal of Pure and Applied Analysis

Volume 3 (2017): Issue 1 (June 2017)

By: B. Abdellaoui, A. Boucherif and T. M. Touaoula

Open Access

|May 2018

Abstract

In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the problem

where is a bounded domain, the function a can be a singular potential, g is a suitable function which will be specified later and p, θ Abstract. In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the problem under natural conditions on the data. The question of global existence is also analyzed.

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Articles in this issue

DOI: https://doi.org/10.1515/mjpaa-2017-0010 | Journal eISSN: 2351-8227

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Language: English

Page range: 116 - 130

Submitted on: Jan 10, 2018

Accepted on: Mar 25, 2018

Published on: May 17, 2018

Published by: Sciendo

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

35B25,

35K58,

35B33,

47G20

Related subjects:

Mathematics,

Analysis,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

© 2018 B. Abdellaoui, A. Boucherif, T. M. Touaoula, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 3 (2017): Issue 1 (June 2017)