Yes, there definitely are. Management paradigms have been evolving through the ages, along with technologies and new generations ariving to the workplace.
A brief history of management styles
Starting with the 1st industrial revolution, we've seen large increases in productivity and standardization of the production process. Around this time, people began to see the need to theorize management methods.
Management 1.0 : Also called Taylorism or Scientific Mangement. It was theorised in the 1910's, and revolves around extremely strict processes, to produce the same output every time. It's extremely Top-Down driven : Manager orders, employees carry out instructions. Basicaly, the operator is a tool, and can be changed to any role, without any consideration about his skills.
Management 2.0 : Theorized in the 1950's by Deming in the US and Toyota in Japan (lean). It relies on the principles of continuous amelioration (PDCA : Plan, Do, Check, Act). In theory, it aims to "getting the right things to the right place at the right time in the right quantity to achieve perfect work flow". Decision making is delegated to the employees that know the business problems. However, it relies on a fluid information flow. In practice, managers often retain information in order to keep a leveraging power, and this leads to the creation of silos in the work organisation.
Management 3.0 : Theorized in 2001 with the book "Agile Manifesto". Its original aim was to accelerate the release of features in software development, but it is now applied more and more to other fields. It relies in creating small teams composed of all the skills needed, that will work in very small iterations (2 weeks to 1 month). Once an iteration is done, the result is shown to the client, that can indicate wether it suits its needs or not. This aims to both break the silos created within Management 2.0 and to allow the client to have an active role and adjust its expectation as the project progresses. In this style of management, the manager isn't directive anymore, but rather seen as a gardener allowing its team members to grow.
The management style inside the company
Usually, companies will adopt a style of management on their global scale, according to their culture, industry, competition, ... Some companies have extremely directive management styles (Strategic industries like weapons, nuclear, ...), whereas other are giving more freedom to their employees and embracing agility (The GAFAs : Google, Apple, Facebook, Amazon ...). Nowaday, most companies use a model close to Management 2.0. But whatever the global management style, you can always adapt and chose a specific style for your own team.
Adapting management to individuals
A good idea to decide which management style to addopt would be by asking directly your team. Set up a "team building" meeting, and try to determine their driver. A few exercizes I really like are Personnal Maps (allows members of the team to know each other better), and CHAMPFROGS (ask people to order each of the values from most important to least important).
I'm personally a big fan of Agile methodologies, and I invite you to read Jurgen Appelo's vision about agile businesses.