Upon the filing of a petition by any person claiming to be entitled to a conveyance from a decedent or conservatee bound by written instrument to make a conveyance or lease, or by the personal representative, setting forth a description of the real estate and the facts upon which such claim for conveyance or lease is based, the court shall fix the time and place for the hearing thereof, notice of which shall be given to such persons and in such manner as the court shall direct. Upon proof of the petition, the court may order the personal representative to execute and deliver a deed of conveyance or lease upon performance of the contract.
K.S.A. 59-2310