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Approximate solution for a 2-D fractional differential equation with discrete random noise

Author

Listed:
  • Tuan, Nguyen Huy
  • Baleanu, Dumitru
  • Thach, Tran Ngoc
  • O’Regan, Donal
  • Can, Nguyen Huu

Abstract

We study a boundary value problem for a 2-D fractional differential equation (FDE) with random noise. This problem is not well-posed. Hence, we use truncated regularization method to establish regularized solutions for the such problem. Finally, the convergence rate of this approximate solution and a numerical example are investigated.

Suggested Citation

  • Tuan, Nguyen Huy & Baleanu, Dumitru & Thach, Tran Ngoc & O’Regan, Donal & Can, Nguyen Huu, 2020. "Approximate solution for a 2-D fractional differential equation with discrete random noise," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    • Handle: RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300497
    DOI: 10.1016/j.chaos.2020.109650
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    Cited by:

    1. A. A. Alderremy & Hassan Khan & Rasool Shah & Shaban Aly & Dumitru Baleanu, 2020. "The Analytical Analysis of Time-Fractional Fornberg–Whitham Equations," Mathematics, MDPI, vol. 8(6), pages 1-14, June.
    2. Phuong, Nguyen Duc & Tuan, Nguyen Huy & Hammouch, Zakia & Sakthivel, Rathinasamy, 2021. "On a pseudo-parabolic equations with a non-local term of the Kirchhoff type with random Gaussian white noise," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    3. Tuan, Nguyen Huy & Nguyen, Anh Tuan & Can, Nguyen Huu, 2023. "Existence and continuity results for Kirchhoff parabolic equation with Caputo–Fabrizio operator," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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