New Properties for Conformable Fractional Derivative and Applications

Abstract

The fractional derivative (FD) has recently captured the minds of scientists. The most common are Riemann-Liouville (RL) and Caputo (C). These fractional derivatives have been used to successfully model many real-world problems due to their physical properties. In 2014, Khalil et al introduced a new definition of an FD called the conformable FD (CFD). In this work, we introduce new properties and theorems related to this new derivative, such as the CFD of the reciprocal function, power of function, exponential of function, and the ?-Leibniz integral rule used to solve fractional differential equations as in the applications section. © 2024 NSP Natural Sciences Publishing Cor.