Many problems in science and engineering are described by differential equations. This Research Topic will offer new procedures and methods for solving these problems. Authors working in the field are welcome to submit manuscripts relating to recent advances in:

- Ordinary differential equations
- Partial differential equations
- Delay differential equations
- Stochastic differential equations
- Initial and boundary value problems
- Equations with either traditional or nonlocal conditions
- Applications of differential equations

Authors may consider their applications in all branches of science and engineering, an analysis of their properties or derivations of numerical methods to solve them.

Differential equations play a vital role in modeling various natural phenomena. Thus, the goal of this Research Topic is to promote, encourage, and stimulate further research, as well as highlight recent advances in this field.

Keywords: ordinary differential equations, partial differential equations, applications, analytical methods, numerical methods

Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.