Réunion d'hiver SMC 2025
Toronto, 5 - 8 decembre 2025
Progrès dans le domaine des équations différentielles et leurs applications en biologie mathématique
Org: Elena Braverman (University of Calgary), Kunquan Lan (Toronto Metropolitan University) et Gail Wolkowicz (McMaster University)
Org: Elena Braverman (University of Calgary), Kunquan Lan (Toronto Metropolitan University) et Gail Wolkowicz (McMaster University)
- MARYAM BASIRI, Toronto Metropolitan University
- ELENA BRAVERMAN, University of Calgary
- SUE ANN CAMPBELL, University of Waterloo
- YUMING CHEN, Wilfrid Laurier University
- HERMANN EBERL, University of Guelph
- CHRIS GOODRICH, UNSW Sydney, Austrailia
- CHRISTOPHER HEGGERUD, University of Manitoba
- KUNQUAN LAN, Toronto Metropolitan University
- JENNIFER LAWSON, University of Calgary
- CHENKUAN LI, Brandon University
Existence, Uniqueness, and Hyers–Ulam's Stability of the Nonlinear Bagley–Torvik Equation with Functional Initial Conditions [PDF]
- ELENA BRAVERMAN, University of Calgary
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The nonlinear Bagley–Torvik equation is of fundamental importance, as it captures a realistic and intricate interplay among memory effects, nonlinearity, and functional dependence—making it a powerful model for a wide range of natural and engineered systems. Its analysis contributes significantly to both the theoretical development of fractional differential equations and their practical applications across science and technology. In this paper, we employ the inverse operator method, the multivariate Mittag-Leffler function, and several classical fixed-point theorems to establish sufficient conditions for the existence, uniqueness, and Hyers–Ulam stability of solutions to the nonlinear Bagley–Torvik equation with functional initial conditions. Finally, we present several examples by explicitly computing values of the multivariate Mittag-Leffler functions to illustrate the main results.
- CHONGMING LI, Queen's University
- XINZHI LIU, University of Waterloo
- CHUNHUA OU, Memorial University of Newfoundland
- SUMAIRA REHMAN, Toronto Metropolitan University
- ANDRÉ RICKES, University of Calgary
- GUSTAVO CICCHINI SANTOS, Toronto Metropolitan University
- ZHISHENG SHUAI, University of Central Florida, USA
- AFRODITI TALIDOU, University of Calgary
- VITALI VOUGALTER, University of Toronto
- LIN WANG, University of New Brunswick
- GAIL WOLKOWICZ, McMaster University
- JIANHONG WU, York University
- HILAIRE EPSTEIN NONHOU ZOGO, Queen's University
- XINGFU ZOU, Western University
- XINZHI LIU, University of Waterloo