In this paper, we study boundary value problems for the impulsive integro-differential equations via $\psi$-fractional derivative. The contraction mapping concept and Schaefer's fixed point theorem are used to produce the main results. The results reported here are more general than those found in the literature, and some special cases are presented. Furthermore, we discuss the Ulam-Hyers-Rassias stability of the solution to the proposed system.
KARTHIKEYAN, KULANDHIVEL; MURUGAPANDIAN, GOBI SELVARAJ; and EGE, ÖZGÜR
"On the solutions of fractional integro-differential equations involving Ulam-Hyers-Rassias stability results via $\psi$-fractional derivative with boundary value conditions,"
Turkish Journal of Mathematics: Vol. 46:
6, Article 31.
Available at: https://journals.tubitak.gov.tr/math/vol46/iss6/31