Existence results for an impulsive neutral fractional differential systems with boundary value conditions within exponential kernel

S. Jasmin Swetha; V. Kavitha; Seenith Sivasundaram; M. Mallika Arjunan

S. Jasmin Swetha School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
V. Kavitha School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India
Seenith Sivasundaram College of Engineering, Science and Mathematics,, Daytona Beach, FL 32114, USA.
M. Mallika Arjunan School of Arts, Science and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India.

Abstract

Through the use of the Caputo-Fabrizio (CF) operator, the purpose of this work is to prove the existence findings for an impulsive neutral fractional differential system (INFDS) with boundary value conditions (BVC). The use of fixed point methods allows for the establishment of a number of novel existence results. In the latter section of the study, two numerical examples are
provided to demonstrate the application of the theoretical ideas presented.