Nonlinear analysis : problems, applications and computational methods

This book is a collection of original research papers as proceedings of the 6th International Congress of the Moroccan Society of Applied Mathematics organized by Sultan Moulay Slimane University, Morocco, during 7th–9th November 2019. It focuses on new problems, applications and computational methods in the field of nonlinear analysis. It includes various topics including fractional differential systems of various types, time-fractional systems, nonlinear Jerk equations, reproducing kernel Hilbert space method, thrombin receptor activation mechanism model, labour force evolution model, nonsmooth vector optimization problems, anisotropic elliptic nonlinear problem, viscous primitive equations of geophysics, quadratic optimal control problem, multi-orthogonal projections and generalized continued fractions. The conference aimed at fostering cooperation among students, researchers and experts from diverse areas of applied mathematics and related sciences through fruitful deliberations on new research findings. This book is expected to be resourceful for researchers, educators and graduate students interested in applied mathematics and interactions of mathematics with other branches of science and engineering. Front Matter ....Pages i-vi Existence Results for Impulsive Partial Functional Fractional Differential Equation with State Dependent Delay (Nadjet Abada, Helima Chahdane, Hadda Hammouche)....Pages 1-22 A Novel Method for Solving Nonlinear Jerk Equations (Ali Akgül, Esra Karatas Akgül)....Pages 23-33 Solving a New Type of Fractional Differential Equation by Reproducing Kernel Method (Ali Akgül, Esra Karatas Akgül)....Pages 34-43 An Efficient Approach for the Model of Thrombin Receptor Activation Mechanism with Mittag-Leffler Function (P. Veeresha, D. G. Prakasha, Zakia Hammouch)....Pages 44-60 Stability Analysis of Bifurcated Limit Cycles in a Labor Force Evolution Model (Sanaa ElFadily, Najib Khalid, Abdelilah Kaddar)....Pages 61-77 Existence and Uniqueness Results of Fractional Differential Equations with Fuzzy Data (Atimad Harir, Said Melliani, Lalla Saadia Chadli)....Pages 78-90 Approximate Efficient Solutions of Nonsmooth Vector Optimization Problems via Approximate Vector Variational Inequalities (Mohsine Jennane, El Mostafa Kalmoun)....Pages 91-101 Existence of Entropy Solutions for Anisotropic Elliptic Nonlinear Problem in Weighted Sobolev Space (Adil Abbassi, Chakir Allalou, Abderrazak Kassidi)....Pages 102-122 Well-Posedness and Stability for the Viscous Primitive Equations of Geophysics in Critical Fourier-Besov-Morrey Spaces (A. Abbassi, C. Allalou, Y. Oulha)....Pages 123-140 Regional Controllability of a Class of Time-Fractional Systems (Asmae Tajani, Fatima-Zahrae El Alaoui, Ali Boutoulout)....Pages 141-155 Quadratic Optimal Control for Bilinear Systems (Soufiane Yahyaoui, Mohamed Ouzahra)....Pages 156-163 Regional Observability of Linear Fractional Systems Involving Riemann-Liouville Fractional Derivative (Khalid Zguaid, Fatima Zahrae El Alaoui, Ali Boutoulout)....Pages 164-178 Stability Analysis of Fractional Differential Systems Involving Riemann–Liouville Derivative (Hanaa Zitane, Fatima Zahrae El Alaoui, Ali Boutoulout)....Pages 179-193 Deformed Joint Free Distributions of Semicircular Elements Induced by Multi Orthogonal Projections (Ilwoo Cho)....Pages 194-232 Several Explicit and Recurrent Formulas for Determinants of Tridiagonal Matrices via Generalized Continued Fractions (Feng Qi, Wen Wang, Bai-Ni Guo, Dongkyu Lim)....Pages 233-248 Back Matter ....Pages 249-249