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Result Of Local Existence Of Solutions Of Nonlocal Viscoelastic System With Respect To The Nonlinearity Of Source Terms

Author

Listed:
  • 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)

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].

Suggested Citation

  • Salah Boulaaras & Abdelbaki Choucha & Djamel Ouchenane & Asma Alharbi & Mohamed Abdalla, 2022. "Result Of Local Existence Of Solutions Of Nonlocal Viscoelastic System With Respect To The Nonlinearity Of Source Terms," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-15, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22400278
    DOI: 10.1142/S0218348X22400278
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