Personal application – this phrase is used in the sphere of Court procedures, where usually it details an application, submitted in court personally, but not via legal representative.
* Note it is advisable to hire a lawyer who to submit the applications in court on your behalf, because lawyers know terms, conditions and specifics of applications; in this way you may avoid a situation where your personal application could be revoked (i.e. not accepted) by the court due to some legal defect or shortcoming – for example if you have not stipulated requested details, or have not attached the needed proofs, etc.