FRACTIONAL DIFFERENTIAL INEQUALITIES WITH CAPUTO-FABRIZIO DERIVATIVE IN CAPUTO-SENSE
By
Monali Manikrao Janjal1 and Jayashree Vinayakrao Patil2
1Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Chhatrapati Sambhaji Nagar, Maharashtra, India-431004
2Department of Mathematics, Vasantrao Naik Mahavidyalaya, Chhatrapati Sambhaji Nagar, Maharashtra, India-431003
Email: janjalm2@gmail.com, jv.patil29@gmail.com
(Received: August 01, 2025; Revised: March 29, 2026; Accepted: March 31, 2026)
DOI: https://doi.org/10.58250/jnanabha.2026.561P-8
Abstract
This research work aims to provide a comprehensive analysis of the comparison principle as applied to fractional differential inequalities, utilising the Caputo-Fabrizio fractional derivative in the Caputo sense, and shedding light on its theoretical foundations and practical implications.
2020 Mathematical Sciences Classification: 26A33, 26D99, 34A12
Keywords and Phrases: Fractional Calculus, Caputo-Fabrizio Derivative, Fractional Differential Inequalities, Comparison Principle, Non-singular Kernel.