Filomat 2023 Volume 37, Issue 19, Pages: 6603-6615
https://doi.org/10.2298/FIL2319603K
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Stability results on non-instantaneous impulsive fractional integro-differential equations with multipoint boundary conditions
Karthikeyan P. (Department of Mathematics, Sri Vasavi College, Erode, India), pkarthisvc@gmail.com
Venkatachalam K. (PG Department of Mathematics, K.S.R College of Arts and Science for Women, Namakkal, India), arunsujith52@gmail.com
Abbas Syed (School of Mathematical and Statistical Sciences, Indian Institute of Technology Mandi, Mandi, India), sabbas.iitk@gmail.com
The Ulam-Hyers stability for non-instantaneous impulsive fractional
integro-differential equations in a Banach space with Caputo-Katugampola
fractional derivative is the main focus of this paper. The Krasnoselskii
fixed point theorem and the contraction principle play a role in
establishing sufficient conditions for existence and uniqueness results. An
application is also shown.
Keywords: Caputo-Katugampola fractional derivative, Non-instantaneous impulsive, Fixed point, Ulam-Hyers stability
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