Analysis of Ordinary Partial Differential Equations: Exact Solutions, Methods, and Problems: Exploring Complex Phenomena through Differential Equations

Abstract

The examination of differential equations has been expecting a central occupation in the improvement of number juggling and its applications in basically all aspects of science and planning for very nearly five centuries. Most of the issues introduced normally are regularly nonlinear and are every now and again addressed by a lone or a course of action of fractional solicitation differential equations. From here on out the number solicitation fractional differential equations have been a valuable resource to show and study the components of various actual methodologies of the applied sciences. However, nature routinely presents complex components, which can't be explained by strategies for customary models and from the test insights and reality, it has been uncovered that there exists a lot of complex systems in nature which have strange components, for instance, the vehicle of engineered pollutants, the components of viscoelastic materials as polymers, sort out traffic, cash related business sectors and some more.