Fractional parabolic problems with a nonlocal initial condition-Reference-Cited by-同舟云学术

Fractional parabolic problems with a nonlocal initial condition

Published:2017-12-20 Issue:1 Volume:3 Page:116-130
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Abdellaoui B.¹,Boucherif A.²,Touaoula T. M.³

Affiliation:

1. Laboratoire d'Analyse Nonlinéaire et Mathématiques Appliquées. Département de Mathématiques, Université Abou Bakr Belkaïd, Tlemcen , 13000, Algeria

2. Department of Mathematics and Statistics. King Fahd University of Petroleum and Minerals. Box 5046 Dhahran , 31261 Saudi Arabia

3. Mathématiques, Université Abou Bakr Belkaïd, Tlemcen , 13000, Algeria

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Reference21 articles.

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2. [2] B. Abdellaoui, M. Medina, I. Peral, A. Primo Optimal results for the fractional heat equation involving the Hardy potential . Nonl. Anal. TMA. 140 (2016), 166-207.

3. [3] R. A. Adams Sobolev spaces, Academic Press, New York, 1975.

4. [4] B. Baeumer, S. Kurita, M.M. Meerschaert Inhomogeneous fractional diffusion equations. Fractional Calculus and Applied Analysis 8(4), 371-386.

5. [5] H. Bei Blow-up theories for semilinear parabolic equations. Lecture notes in mathematics, 2018.

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