Blow up of solutions for a system of two singular nonlocal viscoelastic equations with damping, general source terms and a wide class of relaxation functions

Salah Boulaaras; Abdelbaki Choucha; Bahri Cherif; Asma Alharbi; Mohamed Abdalla; Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, Box.789, El Oued 39000, Algeria

doi:10.3934/math.2021274

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Blow up of solutions for a system of two singular nonlocal viscoelastic equations with damping, general source terms and a wide class of relaxation functions

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Blow up of solutions for a system of two singular nonlocal viscoelastic equations with damping, general source terms and a wide class of relaxation functions

Salah Boulaaras, Abdelbaki Choucha, Bahri Cherif, Asma Alharbi, Mohamed Abdalla and Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, Box.789, El Oued 39000, Algeria

AIMS mathematics, Vol.6(5), pp.4664-4676

01/01/2021

DOI: https://doi.org/10.3934/math.2021274

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

This work studies the blow up result of the solution of a coupled nonlocal singular viscoelastic equation with damping and general source terms under some suitable conditions.

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Title: Blow up of solutions for a system of two singular nonlocal viscoelastic equations with damping, general source terms and a wide class of relaxation functions
Creators - without role: Salah Boulaaras - Qassim University
Abdelbaki Choucha - Univ El Oued, Fac Exact Sci, Dept Math, Lab Operator Theory & PDEs Fdn & Applicat, Box 789, El Oued 39000, Algeria
Bahri Cherif - Qassim University
Asma Alharbi - Qassim University
Mohamed Abdalla - Qassim University
Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, Box.789, El Oued 39000, Algeria
Publication Details: AIMS mathematics, Vol.6(5), pp.4664-4676
Publisher: Amer Inst Mathematical Sciences-Aims
Number of pages: 13
Grant note: Qassim University R.G.P2/1/42 / King Khalid University
Identifiers: 9920993708331
Academic Unit: King Abdulaziz University; King Saud Bin Abdulaziz University for Health Sciences; Qassim University
Language: English
Resource Type: Journal article