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Fatma, Achab
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Aerospace Engineering Computer Science & IT Control & Systems Engineering Electrical & Electronics Engineering Mechanical Engineering

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Solvability and Weak Controllability of Fractional Degenerate Singular Problem Fatma, Achab; Batiha, Iqbal; Imad, Rezzoug; Takieddine, Oussaeif; Ouannas, Adel
Journal of Robotics and Control (JRC) Vol 5, No 2 (2024)
Publisher : Universitas Muhammadiyah Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18196/jrc.v5i2.20474

Abstract

In this paper, our objective is to investigate the unique solvability and the weak controllability of the fractional degenerate and singular problem. The energy inequality method is gives a sufficient conditions for the existence and the uniqueness of the strong solution of our problem. This problem is ill-posed in the sense of Hadamard. To address this, we attempt regularization through a fractional Tikhonov regularization method, which not only establishes weak controllability but also provides a full characterization of the optimal control.
Co-Authors Batiha, Iqbal Imad, Rezzoug Ouannas, Adel Takieddine, Oussaeif