Introduction:
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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. The Economists study dynamical systems of ordinary differential equations for sustainable Economic growth. Stochastic differential equations are the standard models for financial quantities important in financial market. 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: Optimal control, Economic growth theory, Fractional equations modeling natural and economic models, Financial models e.g. Hamilton Jacobi equation, Hamilton Jacobi Bellman equations, Option models, Black Schole models etc, Equivalence transformations, classical and non classical symmetries , Reduction techniques and solutions , and linearization , Conserved quantities, Wave propagation, Stability analysis, Population dynamics and biological phenomena, Numerical techniques for special problems in modeling, Reaction diffusion equations, Mathematical methods for extended thermodynamics, Hyperbolic reaction diffusion equations, Mathematical biology, Fluid dynamics |
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