Boyfriend won't believe me

My boyfriend claims he saw me on my phone in the middle of the night then I hid my phone under my pillow, he also says that he saw a message on my phone saying something about a stripper. I didn't do either of these things but no matter what I say he doesn't believe me. Every other aspect of our relationship is amazing and I love him very much, but it's getting really hard to handle. I don't understand how he can just imagine these things and actually believe he saw them when I never even did either. He has major trust issues because in the past his girlfriend cheated on him, but I am not a cheater and never have been. I want to spend the rest of my life with him. What do I do?