Differential equations can be considered the most important tool for mathematical modeling and understanding the complicated dynamics of several important real-world problems which arise in engineering, mechanics, physics, chemistry, agriculture, infectious diseases, ecology, neuronal networks, optics, nanophotonics, economics, and finance.

On one side, the search for efficient and reliable computational and analytical solution techniques for conventional differential equations, fractional-order differential equations, and functional differential equations captures the interest of many researchers and mathematicians. On the other side, developing bifurcation methods and theories of dynamical systems for exploring the influences of parameters on qualitative behaviors of differential equations is another focal point of increasing importance.

This Special Issue welcomes original research and review articles of exceptional merit containing novel state-of-the-art computational or analytical techniques for solving/analysis of differential equations in addition to research results having possible applications in science and engineering.

Potential topics include but are not limited to the following:

• Integer and fractional order initial/boundary value problems
• Mathematical models with partial differential equations
• Integer and fractional-order differential equations
• Artificial neural network techniques and applications
• Exact solution techniques for differential equations
• Applications to real-world phenomena
• Fixed point theory and applications to differential equations
• Applied bifurcation methods for dynamical systems
• Chaotic systems and their applications