WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Study and Analysis of Taylor’s Series using The Modified Conformable Operator
Authors: , ,
Abstract: In this paper, we explore an essential concept in mathematics: Taylor’s series. To examine its
behavior in fractional calculus, we utilize the modified conformable operator, which provides significant results
by satisfying most properties of the classical derivative and establishing a strong connection between the usual
and fractional derivatives. We then present theoretical results for the fractional Taylor series using the proposed
operator. Finally, we demonstrate the effectiveness of this approach through numerical examples and simulations
in Mathematica, which validate the obtained results.