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A generalization of truncated M-fractional derivative and applications to fractional differential equations

Esin İlhan

Esin İlhan

Mucur Vocational School, Ahi Evran UniversityKırşehir, Turkey
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İlhan, Esin
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İ. Onur Kıymaz

İ. Onur Kıymaz

Dept. of Mathematics, Faculty of Science, Ahi Evran UniversityKırşehir, Turkey
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Kıymaz, İ. Onur
  
Mar 31, 2020
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Published Online: Mar 31, 2020
Page range: 171 - 188
Received: Apr 25, 2019
Accepted: May 23, 2019
DOI: https://doi.org/10.2478/amns.2020.1.00016
Keywords
© 2020 Esin İlhan et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

The graphs of (18) from α = 0.25 (green) to α = 1.00 (black) by step size 0.25.
The graphs of (18) from α = 0.25 (green) to α = 1.00 (black) by step size 0.25.

Fig. 2

The graphs of (21) from α = 0.25 (bottom) to α = 1.00 (top) by step size 0.25.
The graphs of (21) from α = 0.25 (bottom) to α = 1.00 (top) by step size 0.25.

Fig. 3

The graphs of (24) for the values β = γ = 1 (black); β = 0.5,γ = 1 (blue); β = 1,γ = 0.5 (red) and β = γ = 0.5 (green).
The graphs of (24) for the values β = γ = 1 (black); β = 0.5,γ = 1 (blue); β = 1,γ = 0.5 (red) and β = γ = 0.5 (green).
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