Velusamy Kavitha†, Ravi Deepa‡, Balakrishnan Ganesh Priya§, Seenith Sivasundaram¶, Mani Mallika Arjunan
This article addresses the existence, uniqueness and stability analysis for various classes of implicit fractional neutral delay (finite and infinite) differential systems (IFNDDSs) employing the Caputo-Fabrizio
operator (CFO). The findings rely on the application of specific fixedpoint theorems. Additionally, illustrative numerical examples are presented in the concluding section to clarify and demonstrate the derived
results.
Keywords: Fractional-order, Caputo-Fabrizio fractional derivative, existence and uniqueness, fixed point.
MSC: 26A33.
DOI https://doi.org/10.56082/annalsarscimath.2024.2.182
†kavi velubagyam@yahoo.co.in, Department of Mathematics, School of Sciences, Arts, Media & Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India
‡deepa.maths1729@gmail.com, Department of Mathematics, Panimalar Engineering College, Poonamallee, Chennai-600123, Tamil Nadu, India
§primath85@gmail.com, Department of Mathematics, Mepco Schlenk Engineering College, Sivakasi-626005, Tamil Nadu, India
¶seenithi@gmail.com, College of Engineering, Science and Mathematics, Daytona Beach, FL 32114, USA
Corresponding author: arjunphd07@yahoo.co.in, Department of Mathematics, School of Arts, Science, Humanities and Education, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 16 no 2, 2024
