TAYLORS SERIES IN TERMS OF THE MODIFIED CONFORMABLE FRACTIONAL DERIVATIVE WITH APPLICATIONS

Authors

  • Mohammed B. M. Altalla Department of Mathematics, PET Research Foundation, University of Mysore
  • B. Shanmukha 2Department of Mathematics, PES College of Engineering
  • Ahmad El-Ajou Department of Mathematics, Faculty of Science, Al Balqa Applied University
  • Mohammed N. A. Alkord Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University

Abstract

This study depends on the modified conformable fractional derivative definition to generalize and proves some theorems of the classical power series into the fractional power series. Furthermore, a comprehensive formulation of the generalized Taylor’s series is derived within this context. As a result, a new technique is introduced for the fractional power series. The efficacy of this new technique has been substantiated in solving some fractional differential equations.

Downloads

Published

2024-05-28

Issue

Volume 29, Number 2, June 2024

Section

Articles