1. Component Layout: Bootstrap Vue provides a layout system that is based on flexbox and is highly customizable. It allows for easy and intuitive positioning of components on the page. On the other hand, Material Design for Bootstrap follows the Material Design guidelines and provides a grid system for component layout. This grid system is based on a 12-column layout and offers a more structured approach to positioning components.

2. Component Library: Bootstrap Vue offers a wide range of pre-built components that can be easily integrated into your website. These components include navigation bars, cards, modals, and more. Material Design for Bootstrap also provides a rich component library, but it follows the Material Design guidelines and offers components that are more in line with the look and feel of Material Design. This includes components like buttons, checkboxes, and menus.

3. Customization Options: Both frameworks offer customization options, but Bootstrap Vue provides more flexibility in terms of customizing the appearance and behavior of components. It allows you to easily modify the styles and classes of components, giving you more control over the overall look of your website. Material Design for Bootstrap also offers customization options, but they are more limited compared to Bootstrap Vue.

4. Theming: Bootstrap Vue allows you to customize the theme of your website by easily changing variables like colors, fonts, and spacing. It also provides a SASS compiler for advanced theming options. On the other hand, Material Design for Bootstrap offers a range of predefined themes that adhere to the Material Design guidelines. These themes can be easily applied to your website, but they offer less flexibility compared to Bootstrap Vue.

5. Community Support: Bootstrap Vue is maintained and supported by a large community of developers, which means that there is a wealth of resources and documentation available to help you with your project. Material Design for Bootstrap also has a supportive community, but it may not be as extensive as the Bootstrap Vue community.

6. Compatibility: Bootstrap Vue is built on top of Bootstrap, which is a widely-used and battle-tested framework. This means that it is compatible with a wide range of browsers and devices. Material Design for Bootstrap is also compatible with most modern browsers, but it may not have the same level of compatibility as Bootstrap Vue.

In summary, Bootstrap Vue and Material Design for Bootstrap have key differences in their component layout, component library, customization options, theming, community support, and compatibility. These differences make each framework unique and suitable for different types of projects and design preferences.