ON THE INITIAL VALUE PROBLEMS FOR NEUTRAL INTEGRO-DIFFERENTIAL SYSTEM WITHIN EXPONENTIAL KERNEL*

Stanislaus Jasmin Swetha[1], Velusamy Kavitha[2],

Mani Mallika Arjunan[3], Dumitru Baleanu[4]

 

Abstract. This paper deals with the existence results for neutral integro-differential system (NIDS) through Caputo-Fabrizio (CF) operator. The solution to our addressing system, which can be considered innovative, is explained and proven in preliminary section. Certain novel existence findings are shown using fixed point approaches. Finally, two numerical examples are provided in the work to demonstrate the application of our theoretical findings.

MSC: 26A33

 

Keywords: Fractional-order; Caputo-Fabrizio operator (CFO), Existence and uniqueness, fixed point.

 

DOI              10.56082/annalsarscimath.2024.1.5

 

 

 

Abstract Article                                                      Volume 16 no 1 / 2024


*Accepted for publication on January 3-rd, 2023

[1] jass.stanis27499@gmail.com, Department of Mathematics, School of Sciences, Arts, Media & Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore641114, Tamil Nadu, India

[2] kavi_velubagyam@yahoo.co.in, Department of Mathematics, School of Sciences, Arts, Media & Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore641114, Tamil Nadu, India

[3] Corresponding author:arjunphd07@yahoo.co.in, Department of Mathematics, School of Arts, Science and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India

[4] Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon. E:mail: dumitru.baleanu@lau.edu.lb