摘要:This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative. An application is made of a Schauder fixed point theorem for the existence of solutions. Next we prove that our problem is generalized Ulam-Hyers-Rassias stable.
关键词:functional differential equation ; left-sided mixed Hadamard fractional integral ; Hilfer-Hadamard fractional derivative ; existence ; Ulam-Hyers-Rassias stability