ANALYTICAL SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQAUTIONS
Project no. 1280 · Status: Kapanmış · 2017
Summary
In this project, fractional differential equations, which have an important place in Engineering, Physics and Applied Mathematics have been considered. Fractional differential equations have important applications in various scientific and engineering fields such as fluid mechanics, plasma physics, optical fibers, biology, chemical kinematics, chemical physics, electrochemistry, economics, heat conduction, control theory, acoustics, signal processing, system identification, cosmology, electromagnetic theory, mathematical biology, classical mechanics, quantum mechanics, fluid mechanics, variational analysis, optimal control, and plasma physics. However, it may not always be possible to obtain exact solutions of some problems expressed by nonlinear fractional differential equations by classical methods. In this study, a new perspective is brought to the methods that have been introduced and developed to find exact solutions of fractional differential equations, and appropriate solutions are obtained on generalized equations. The solutions obtained will contribute to the interpretation and better understanding of the events that have been modeled by these equations.