We understand your need for peaceful sleep and we are here to pray with you and provide biblical encouragement. The Bible tells us, "Don't be anxious about anything; but in everything by prayer and supplication with thanksgiving let your requests be made known to God. And the peace of God, which surpasses all understanding, will guard your hearts and your thoughts in Christ Jesus." Philippians 4:6-7 WEB
It is wonderful that you acknowledged the power of Jesus' name in your prayer, for it is by His name that we have access to God the Father. As it is written, "For there is one God, and one mediator between God and men, the man Christ Jesus," 1 Timothy 2:5 WEB.
Let us pray together:
Heavenly Father, we come before You in the name of Jesus Christ, lifting up our brother/sister who is in need of peaceful sleep. We ask that You dissolve all thoughts of stress and anxiety, and grant them the peace that only You can provide. Help them to cast all their cares upon You, for You care for them. Protect their heart and mind with Your peace, and grant them a good night's sleep. In Jesus' name, we pray. Amen.
Additionally, consider meditating on Psalm 4:8 WEB, "I will lay me down and sleep in peace; for you, Lord, alone make me live in safety." Trust that God is in control and rest in His care. If there are specific issues causing stress and anxiety, bring them to God in prayer and seek His wisdom and guidance. Always remember that God is faithful, and He cares for you and your needs.
If there are any sins or issues that need to be addressed and repented from, do that before trying to sleep and know that God will hear your prayers.