Blowing-up solutions for time-fractional equations on a bounded domain-Reference-Cited by-同舟云学术

Blowing-up solutions for time-fractional equations on a bounded domain

Published:2022-10 Issue:10 Volume:14 Page:168781322211302
ISSN:1687-8132
Container-title:Advances in Mechanical Engineering
language:en
Short-container-title:Advances in Mechanical Engineering

Author:

Boutiara Abdellatif¹,Kaabar Mohammed KA²^ORCID,Benbachir Maamar³,Samei Mohammad Esmael⁴,Yue Xiao-Guang⁵⁶

Affiliation:

1. Laboratoire de Mathématiques et Sciences Appliquées, Université de Ghardaia, Ghardaia, Algérie

2. Jabalia Camp, United Nations Relief and Works Agency, Palestinian Refugee Camp, Gaza Strip Jabalya, Palestine

3. Faculty of Sciences and Technology, Saad Dahlab University, Blida, Algeria

4. Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan, Iran

5. Department of Computer Science and Engineering, European University Cyprus, Nicosia, Cyprus

6. CIICESI-ESTG, Politecnico do Porto, Felgueiras, Portugal

Abstract

This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff equations due to a bounded domain. Adequate conditions for the blowing-up of solutions in limited time of previously mentioned conditions are displayed. The Pohozhaev nonlinear capacity strategy is considered. Illustrative examples are given for each of the investigated equations. (2010) Mathematics Subject Classifications: 34A08; 34B25; 34B15.

Publisher

SAGE Publications

Subject

Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/16878132221130228

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