$ rpm -qa | grep -i mysql

mysql-5.0.95-5.el5_9

mysql-server-5.0.95-5.el5_9

perl-DBD-MySQL-3.0007-2.el5

sudo yum install rpms/MariaDB-10.1.13-centos5-x86_64-client.rpm rpms/MariaDB-10.1.13-centos5-x86_64-server.rpm 

Loaded plugins: fastestmirror

Loading mirror speeds from cached hostfile

 * epel: ftp.crc.dk

 * base: ftp.funet.fi

 * updates: ftp.funet.fi

 * addons: ftp.funet.fi

 * extras: ftp.funet.fi

Setting up Install Process

Parsing package install arguments

Examining rpms/MariaDB-10.1.13-centos5-x86_64-client.rpm: MariaDB-client-10.1.13-1.x86_64

Marking rpms/MariaDB-10.1.13-centos5-x86_64-client.rpm to be installed

Examining rpms/MariaDB-10.1.13-centos5-x86_64-server.rpm: MariaDB-server-10.1.13-1.x86_64

Marking rpms/MariaDB-10.1.13-centos5-x86_64-server.rpm to be installed

Resolving Dependencies

--> Running transaction check

---> Package MariaDB-client.x86_64 0:10.1.13-1 set to be updated

--> Processing Dependency: MariaDB-common for package: MariaDB-client

---> Package MariaDB-server.x86_64 0:10.1.13-1 set to be updated

--> Processing Dependency: galera for package: MariaDB-server

--> Running transaction check

---> Package galera.x86_64 0:25.3.15-1.rhel5.el5 set to be updated

---> Package MariaDB-common.x86_64 0:10.1.13-1 set to be updated

--> Processing Conflict: mysql conflicts MySQL

--> Processing Conflict: mysql conflicts MySQL

--> Processing Conflict: mysql-server conflicts MySQL-server

--> Processing Conflict: mysql-server conflicts MySQL-server

--> Restarting Dependency Resolution with new changes.

--> Running transaction check

---> Package MariaDB-shared.x86_64 0:10.1.13-1 set to be updated

--> Processing Dependency: libmysqlclient.so.15()(64bit) for package: perl-DBD-MySQL

--> Processing Dependency: libmysqlclient.so.15(libmysqlclient_15)(64bit) for package: perl-DBD-MySQL

--> Running transaction check

---> Package MariaDB-compat.x86_64 0:10.1.13-1 set to be updated

--> Finished Dependency Resolution

mysql-server-5.0.95-5.el5_9.x86_64 from installed has depsolving problems

  --> mysql-server conflicts with MariaDB-server

mysql-5.0.95-5.el5_9.x86_64 from installed has depsolving problems

  --> mysql conflicts with MariaDB-server

Error: mysql conflicts with MariaDB-server

Error: mysql-server conflicts with MariaDB-server