Algebra, Analysis, Modelling and Optimization: Selected Papers from the First French-Moroccan Mathematics Days, Tétouan, Morocco, 2023

Preface
Contents
Contributors
Existence and Uniqueness of Solutions for Fractional Order Cauchy-Lipschitz Differential Equations via the α-Fixed PointTheorem
	1 Introduction and Preliminaries
	2 Notations and Preliminaries
	3 Main Results
	References
Exponential and Strong Stabilization for Perturbed Semilinear Systems Governed by Optimal Control
	1 Introduction
	2 Existence and Uniquness Results
		2.1 Preliminaries and Technical Lemmas
		2.2 Existence and Uniqueness of Global Mild Solution and Exponential Stabilization
	3 Strong Stabilization and Decay Estimate
	4 Optimal Feedback Control Existence Results
	5 Applications and Numerical Simulations
		5.1 Applications
			Example 1 : Liénard\'s Equation
			Example 2: Damped Wave Equation
		5.2 Numerical Simulations
	6 Conclusion
	References
Study of Some Non-coercive Quasilinear Parabolic Problem in Anistropic Sobolev Space
	1 Introduction
	2 Notations and Preliminaries
	3 Some Basic Lemmas
	4 Essential Assumptions
	5 Main Result
		5.1 Proof of Theorem 1
	Appendix
	6 Conclusion
	References
Exploring the Applications of DC Programming in Support Vector Machine Learning
	1 Introduction
	2 Preliminary
	3 Applications of DC Programming in Support Vector Machine Learning
		3.1 DC programming for Linear SVM
		3.2 DC Programming for Non-Linear SVM
	4 Conclusion
	References
Explicit Formulas of the Addition Law on the Elliptic Curve Over a Special Nonlocal Ring
	1 Introduction
	2 Arithmetic Properties of the Ring A
	3 Elliptic Curves over Nonlocal Ring A
	4 The Addition Law on the Elliptic Curve Ea,b(A)
	5 Proposed Protocol Scheme
	6 Security of the Scheme
	7 Conclusion
	References
On Galois Extensions of Composite Algebras
	1 Introduction
	2 Preliminaries
	3 Fixed of Tensor Products
	4 Tensor Products of Galois Extensions
	5 Galois Extensions of Graded Rings
	References
Periodic Solutions in Shifts δ for Impulsive Neutral Dynamic Equations with Infinite Delay on Time Scales
	1 Introduction
	2 Preliminaries
	3 Main Results
	References
On the Positive Radial Solutions of a p-Laplacian Problem on an Unbounded Exterior Domain
	1 Introduction
	2 Existence of Global Solutions
	3 Asymptotic Behavior Near Infinity
	4 Conclusion
	References
Index