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Fractional Klein-Gordon equation with singular mass

Author

Listed:
  • Altybay, Arshyn
  • Ruzhansky, Michael
  • Sebih, Mohammed Elamine
  • Tokmagambetov, Niyaz

Abstract

We consider a space-fractional wave equation with a singular mass term depending on the position and prove that it is very weak well-posed. The uniqueness is proved in some appropriate sense. Moreover, we prove the consistency of the very weak solution with classical solutions when they exist. In order to study the behaviour of the very weak solution near the singularities of the coefficient, some numerical experiments are conducted where the appearance of a wall effect for the singular masses of the strength of δ2 is observed.

Suggested Citation

  • Altybay, Arshyn & Ruzhansky, Michael & Sebih, Mohammed Elamine & Tokmagambetov, Niyaz, 2021. "Fractional Klein-Gordon equation with singular mass," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s096007792030970x
    DOI: 10.1016/j.chaos.2020.110579
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    Cited by:

    1. Gordić, Snežana & Levajković, Tijana & Oparnica, Ljubica, 2021. "Stochastic parabolic equations with singular potentials," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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