OSCILLATION PROPERTIES OF SOLUTIONS TO CONFORMABLE FRACTIONAL DELAY DIFFERENTIAL SYSTEMS

M. Deepa (Department of Mathematics, Pavai Arts and Science College for Women, India)
M. Sathish Kumar (Department of Mathematics, Paavai Engineering College (Autonomous), India)
K. Karuppiah (Department of Mathematics, Government College of Engineering Theni, India)
S. Abhirami (Department of Mathematics, Sona College of Technology, India)

BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 20 No 3 (2026): BAREKENG: Journal of Mathematics and Its Application

This article examines the oscillation of solutions to a particular class of conformable fractional nonlinear delay differential systems of order α and 0<α≤1. By employing the equivalence transformation and the associated Riccati substitution technique, we are able to produce some new necessary conditions for the oscillation of all of the solutions of the differential system. Several results reported are extended, unified, and improved over established results. Two examples are provided to show the importance of the main results.