WordPress running on official WordPress Alpine version and official Alpine PHP-FPM version.

docker-compose.yml

version: '2'

services:
    nginx:
        image: nginx:1.10.3-alpine
        ports:
            - 80:80
            - 443:443
        volumes:
            - ./htdocs:/var/www/html
            - ./site.conf:/etc/nginx/conf.d/default.conf
        networks:
            - wp-network
    wordpress:
        image: wordpress:4.7.3-php7.1-fpm-alpine
        volumes:
            - ./htdocs:/var/www/html
        environment:
          WORDPRESS_DB_HOST: db:3306
          WORDPRESS_DB_PASSWORD: root
        networks:
            - wp-network
    db:
      image: mysql:5.7
      restart: always
      volumes:
        - db_data:/var/lib/mysql
      environment:
        MYSQL_ROOT_PASSWORD: root
      networks:
        - wp-network
    phpmyadmin:
      depends_on:
        - db
      image: phpmyadmin/phpmyadmin
      restart: always
      ports:
        - 8080:80
      environment:
        PMA_HOST: db
        MYSQL_ROOT_PASSWORD: root
      networks:
        - wp-network
networks:
    wp-network:
        driver: bridge
volumes:
  db_data:

site.conf

server {
    index index.php index.html;
    server_name localhost;
    listen 443 ssl;
    listen 80;
    error_log  /var/log/nginx/error.log;
    access_log /var/log/nginx/access.log;
    root /var/www/html;

    location ~ \.php$ {
        try_files $uri =404;
        fastcgi_split_path_info ^(.+\.php)(/.+)$;
        fastcgi_pass wordpress:9000;
        fastcgi_index index.php;
        include fastcgi_params;
        fastcgi_param SCRIPT_FILENAME $document_root$fastcgi_script_name;
        fastcgi_param PATH_INFO $fastcgi_path_info;
    }
}