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[CT072]

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : In this communication, we talk about the fractional controllability problem of internally controlled semilinear hyperbolic systems. in the first method, we show the controllability of the linear system using Hilbert uniqueness method HUM, and the fractional controllability problem is solved applying Schauder’s fixed point theorem. Secondly, the analytics study is then attempted by employing generalized inverse methods and changed also into a fixed point problem. Hence, we give an approximate approach to find a control that brings the Riemann-Liouville fractional attained position (resp. speed) to the required position yd1 (resp. speed yd2). Finally, computing simulations are used to confirm the obtained results.
Classification : 57-XX, 26-XX, 53-XX
Author(s) :
- Mustapha Benoudi (Moulay Ismail University)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : Textiles are complex entangled structures made of threads embedded in a thickened plane. From nano to macro scale and high functionality to pure esthetic, they have been studied and fabricated for thousands of years in disciplines as diverse as materials science and art. Currently an active research topic in mathematics, we will present a topological model that aims to define, construct and classify specific textile structures from a knot theory viewpoint and highlight some applications.
Classification : 57K10, 57K12
Author(s) :
- Sonia Mahmoudi (Drexel University)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : In this presentation, we study the existence of solutions for a (p, q)-Laplacian Steklov problem . The main result of our research is to prove the existence of solutions for a (p, q)-Laplacian Steklov problem, using the Ricceri's three critical points theorem.
Classification : 58J10, 58J20, 35Jxx, 35J66, 35J50
Author(s) :
- Mariya Sadiki (University of Moulay Ismail)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : Poincaré integral operators give explicit potential and provide an inverse of differential operators in the sense of null-homotopy. These operators play a key role in the mathematical and numerical analysis of fluid and electromagnetic problems. Consequences include the well-posedness of the Stokes problem and the p-robustness of high-order finite element methods. In this talk, we derive such operators for the Bernstein-Gelfand-Gelfand (BGG) complexes with potential applications in elasticity and relativity. The idea is to carry over the results for the de-Rham complex by Costabel and McIntosh to these cases by homological algebra.
Classification : 58J10, 35N05, 58A12, 58A14, 65N30, finite element methods, Hilbert complexes, Bernstein-Gelfand-Gelfand construction, applied analysis
Author(s) :
- Andreas Čap (University of Vienna)
- Kaibo Hu (University of Oxford)

Session Date & Time : 5D (Aug.25, 15:30-17:10)
Type : Contributed Talk
Abstract : Arrival control models are considered for a queueing system with constant retrial queues and secondary customers (SCs). We employ equilibrium methods, such as arrival control joining for a non-cooperative approach where customers try to maximize their individual profit across the whole system. System size, joining control, throughput, and a few key performance metrics all have explicit probability-generating functions. The optimal service rates are obtained by minimizing the total cost using the grey wolf optimization technique.
Classification : 60-XX, 90-XX, 91-XX, 62-XX, Operation Research
Author(s) :
- Sibasish Dhibar (Indian Institute Of Technology Roorkee)
- Prof. Madhu Jain (Indian Institute of Technology Roorkee)