RESULT OF LOCAL EXISTENCE OF SOLUTIONS OF NONLOCAL VISCOELASTIC SYSTEM WITH RESPECT TO THE NONLINEARITY OF SOURCE TERMS

Salah Boulaaras, Abdelbaki Choucha (), Djamel Ouchenane (), Asma Alharbi () and Mohamed Abdalla
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Salah Boulaaras: Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Kingdom of Saudi Arabia2Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria
Abdelbaki Choucha: Department of Matter sciences, Faculty of Sciences, Amar Teledji Laghouat University, Algeria
Djamel Ouchenane: Laboratory of pure and applied Mathematics, Amar Teledji Laghouat University, Algeria
Asma Alharbi: Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Kingdom of Saudi Arabia
Mohamed Abdalla: Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia6Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-15

Abstract: This work deals with the proof of local existence theorem of solutions for coupled nonlocal singular viscoelastic system with respect to the nonlinearity of source terms by using the Faedo–Galerkin method together with energy methods. This work makes a new contribution, since most of the previous works did not address the proof of the theorem of the local existence of solutions. It is also a completed study of Boulaaras et al. [Adv. Differ. Equ. 2020 (2020) 310].

Keywords: Local Existence; Nonlocal Singular Viscoelastic Equation; Source Terms; Faedo–Galerkin Method (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400278

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