@article{Marcinkevicius2022, 
author = {R. Marcinkevicius and I. Telksniene and T. Telksnys and Z. Navickas and M. Ragulskis},
title = {The construction of solutions to                      C                          D                    (      1              /            n      )       type FDEs via reduction to              (                                                        C                                                              D                                            (            1                          /                        n            )                              )        n   type FDEs},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {16536-16554},
keywords = {fractional differential equation, operator calculus, fractional power series expansion},
url = {https://www.sciopen.com/article/10.3934/math.2022905},
doi = {10.3934/math.2022905},
abstract = {A scheme for the integration of                        C                          D                    (      1              /            n      )      -type fractional differential equations (FDEs) is presented in this paper. The approach is based on the expansion of solutions to FDEs via fractional power series. It is proven that                        C                          D                    (      1              /            n      )      -type FDEs can be transformed into equivalent              (                                                                C                                                              D                                            (            1                          /                        n            )                              )        n  -type FDEs via operator calculus techniques. The efficacy of the scheme is demonstrated by integrating the fractional Riccati differential equation.}
}