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; Salah Boulaaras; Abdelbaki Choucha; Bahri Cherif; Asma Alharbi; Mohamed Abdalla

doi:10.3934/math.2021274

AIMS Mathematics

2021, Volume 6, Issue 5: 4664-4676. doi: 10.3934/math.2021274

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Research article

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

1.
Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi Arabia
2.
Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Oran, Algeria
3.
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
4.
Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia
5.
Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

Received: 24 December 2020 Accepted: 18 February 2021 Published: 24 February 2021
MSC : 35L20, 35L35

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.
- viscoelastic equation,
- blow up,
- source term
Citation: Salah Boulaaras, Abdelbaki Choucha, Bahri Cherif, Asma Alharbi, Mohamed Abdalla. 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[J]. AIMS Mathematics, 2021, 6(5): 4664-4676. doi: 10.3934/math.2021274

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Abstract

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.

References

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