On the solutions of fractional integro-differential equations involving Ulam-Hyers-Rassias stability results via $\psi$-fractional derivative with boundary value conditions
Makaleler > Tam Makale · 2022
Yazarlar: KULANDHIVEL KARTHIKEYAN, GOBI SELVARAJ MURUGAPANDIAN, Özgür EGE
Turkish Journal of Mathematics, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2022, cilt 46, ss 2500-2512
Özet
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.