Browsing by Author "Khoshkenar, A."
Now showing 1 - 1 of 1
- Results Per Page
- Sort Options
Article Citation - WoS: 3Citation - Scopus: 3Further studies on ordinary differential equations involving the M-fractional derivative(Amer inst Mathematical Sciences-aims, 2022) Khoshkenar, A.; Ilie, M.; Hosseini, K.; Baleanu, D.; Salahshour, S.; Park, C.; Lee, J. R.; 56389In the current paper, the power series based on the M-fractional derivative is formally introduced. More peciesely, the Taylor and Maclaurin expansions are generalized for fractional-order differentiable functions in accordance with the M-fractional derivative. Some new definitions, theorems, and corollaries regarding the power series in the M sense are presented and formally proved. Several ordinary differential equations (ODEs) involving the M-fractional derivative are solved to examine the validity of the results presented in the current study.