SS97 AIMS 2016 Meeting, Orlando, Florida, USA

Title:  Qualitative and Quantitative Techniques for Differential Equations arising in Economics, Finance and Natural Sciences
Name: Affiliation: Country: Email Address:
Rehana Naz
Centre for Mathematics and Statistical Sciences, Lahore School of Economics Lahore, Pakistan
Mariano Torrisi
Dipartimento di Matematica ed Informatica, Università di Catania Viale A. Doria, 6, I-95125 Catania , Italy
Imran Naeem
Department of Mathematics, school of Science and Engineering, Lahore University of Management Sciences (LUMS), Lahore, Pakistan
Celestin Wafo Soh
Mathematics Department, Jackson State University
The differential equations play a vital role in many disciplines from natural to social sciences. Most of physical laws in natural sciences are expressed in terms of differential equations. In this session we try to integrate analysis, models and methods in the scope of natural sciences as well as social sciences framework. The Economists study dynamical systems for sustainable Economic growth. Stochastic differential equations are the standard models for financial quantities important in financial market. Biologists (Epidemiologists) investigate the determinants of health-related states (including disease) using mathematical tools. Differential equations are mathematically studied from several different perspectives; this session will focus on the Qualitative and Quantitative techniques (including numerical methods) for ordinary differential equations, partial differential equations, fractional differential equations, difference equations, stochastic differential equations, integro-differential equations. Potential topics, of this session, include but are not limited to: • Economic growth theory • Optimal control • Differential equations modeling natural and economic models • Financial models e.g. Hamilton–Jacobi equation, Hamilton–Jacobi–Bellman equations, Option models, Black–Schole models • Equivalence transformations • Stability analysis • Numerical techniques for special problems in modeling • Symmetries, Differential Equations, and Applications • Modeling and Math Biology • Fluid Mechanics
List of approved abstract