Operator theory; functional analysis; Integral equation; PDEs; Fixed point theory; Applied mathematics
Biography
I am working on a research project that involves developing numerical methods and techniques for solving nonlinear equations. These methods are also utilized to address spectral problems.
Main publications:
M. G. Mahcenea, A. Khellafba, S. Lemitaca, M. Z. Aissaouia
A refinement sum-technique in an iterative scheme adapted for a linear system of integral equations to approach a Fredholm integral equation's solution DOI: https://doi.org/10.15372/SJNM20230306 Sibirskii Zhurnal Vychislitel'noi Matematiki, 2023,
vol 26vissue 3
pages 301-312
M. A. Mansouri, A. Khellaf, H. Guebbai, “On the Convergence of Generalized Pseudo-Spectrum”, Math. Notes, 115:6 (2024), 973–982
2.
M. A. Mansouri, A. Khellaf, H. Guebbai, “On level sets of norm of generalized resolvent of operators pencils”, Ufimsk. Mat. Zh., 16:3 (2024), 130–138; Ufa Math. J., 16:3 (2024), 125–133
2023
3.
M. G. Mahcene, A. Khellaf, S. Lemita, M. Z. Aissaoui, “A refinement sum-technique in an iterative scheme adapted for a linear system of integral equations to approach a Fredholm integral equation's solution”, Sib. Zh. Vychisl. Mat., 26:3 (2023), 301–312
2021
4.
M. Ghiat, S. Kamouche, A. Khellaf, W. Merchela, “On a system of Volterra integral equations with a weakly singular kernel”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 193 (2021), 33–44
A. Khellaf, S. Benarab, H. Guebbai, W. Merchela, “A class of strongly stable approximation for unbounded operators”, Russian Universities Reports. Mathematics, 24:126 (2019), 218–234
2018
7.
A. Khellaf, “New sufficient conditions in the generalized spectrum approach to deal with spectral pollution”, Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018), 595–604
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