Browsing College of Arts and Sciences (CAS) by Author "3f131703-6159-4894-b2e6-7b6345cc4453"
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Fractional Integrodifferentiation and Toeplitz Operators with Vertical Symbols
Karapetyants, Alexey; Louhichi, Issam (Birkhäuser, 2020)We consider the so-called vertical Toeplitz operators on the weighted Bergman space over the half plane. The terminology “vertical” is motivated by the fact that if a is a symbol of such Toeplitz operator, then a(z) depends ... -
A Numerical Investigation of the Buckling of Doubly Clamped Nano-Actuators Governed by an Integro-Differential Equation
Yousef, Abdelrahman; Khoury, Suheil; Louhichi, Issam (Springer, 2022)In this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem ... -
On the powers of quasihomogeneous Toeplitz operators
Aissa, Bouhali; Zohra, Bendaoud; Louhichi, Issam (Springer, 2021)In this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem ...