@article {6572,
	title = {Discrete septic spline quasi-interpolants for solving generalized Fredholm integral equation of the second kind via three degenerate kernel methods},
	journal = {Mathematical Sciences},
	volume = {11},
	number = {4},
	year = {2017},
	pages = {345-357},
	publisher = {Springer},
	isbn = {2251-7456},
	author = {Abdelaziz Mennouni and Saliha Zaouia}
}
@article {6571,
	title = {Piecewise constant Galerkin method for a class of Cauchy singular integral equations of the second kind in L2},
	journal = {Journal of Computational and Applied Mathematics},
	volume = {326},
	year = {2017},
	pages = {268-272},
	publisher = {Elsevier},
	isbn = {0377-0427},
	author = {Abdelaziz Mennouni}
}
@article {6568,
	title = {Uniform stabilization of the fourth order Schr{\"o}dinger equation},
	journal = {Journal of Mathematical Analysis and Applications},
	volume = {446},
	number = {2},
	year = {2017},
	pages = {1794-1813},
	publisher = {Elsevier},
	isbn = {0022-247X},
	author = {Belkacem Aksas and Salah-eddine Rebiai}
}
@article {5367,
	title = {Stabilization of the Fourth Order Schr{\"o}dinger Equation},
	journal = {New Trends in Analysis and Interdisciplinary Applications},
	year = {2017},
	pages = { 529-535},
	abstract = {
	We study both boundary and internal stabilization problems for the fourth order Schr{\"o}dinger equation in a smooth bounded domain\&nbsp;Ω\&nbsp;of\&nbsp;Rn.\&nbsp;We first consider the boundary stabilization problem. By introducing suitable dissipative boundary conditions, we prove that the solution decays exponentially in an appropriate energy space. In the internal stabilization problem, by assuming that the damping term is effective on the neighborhood of the boundary, we prove the exponential decay of the L2(Ω)-energy of the solution. Both results are established by using multipliers technique and compactness/uniqueness arguments.

},
	author = {Belkacem Aksas and Salah-eddine Rebiai}
}
@article {5264,
	title = {Discrete septic spline quasi-interpolants for solving generalized Fredholm integral equation of the second kind via three degenerate kernel methods},
	journal = {Mathematical Sciences},
	volume = {11},
	year = {2017},
	pages = {345{\textendash}357},
	abstract = {
	Three main contributions are presented in this paper. First, the septic quasi-interpolants are calculated with all their coefficients. Second, we explore the results to solve a generalized and broad class of Fredholm integral equations of the second kind. Finally, we present three degenerate kernel methods; the latter is a combination of the two previously established methods in the literature. Moreover, we provide a convergence analysis and we give new error bounds. Finally, we exhibit some numerical examples and compare them with previous results in the literature.

},
	author = {Abdelaziz Mennouni and Saliha Zaouia}
}
@article {5263,
	title = {Piecewise constant Galerkin method for a class of Cauchy singular integral equations of the second kind in L2},
	journal = {Journal of Computational and Applied Mathematics},
	volume = {326},
	year = {2017},
	pages = {268-272},
	abstract = {
	In this work, we present piecewise constant Galerkin method for a class of Cauchy singular integral equations of the second kind with\&nbsp;constant coefficients\&nbsp;in\&nbsp;L2([0,1],C), using a sequence of orthogonal finite rank projections. We prove the\&nbsp;existence and uniqueness theorems\&nbsp;for the Cauchy integral equation and the approximate equation, respectively. We perform the error analysis for which we give new and improved estimates for the rates of convergence. Numerical example illustrates the theoretical results.

},
	author = {Abdelaziz Mennouni}
}
@article {5262,
	title = {FINITE TIME BLOW-UP OF SOLUTIONS FOR A NONLINEAR SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS},
	journal = {Electronic Journal of Differential Equations},
	volume = {2017},
	number = {152},
	year = {2017},
	pages = {1{\textendash}15},
	author = {Abdelaziz Mennouni and Abderrahmane Youkana}
}
@article {5256,
	title = {Asymmetric Fuglede Putnam\&$\#$39;s Theorem for operators reduced by their eigenspaces},
	journal = {FILOMAT},
	year = {2017},
	abstract = {
	Fuglede-Putnam Theorem have been proved for a considerably large number of class of operators. In this paper by using the spectral theory, we obtain a theoretical and general framework from which Fuglede-Putnam theorem may be promptly established for many classes of operators.

},
	author = {Farida Lombarkia and Mohamed Amouch}
}
