Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel
2018 ◽
Vol 13
(1)
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pp. 13
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Keyword(s):
Analytical and numerical simulations of nonlinear fractional differential equations are obtained with the application of the homotopy perturbation transform method and the fractional Adams-Bashforth-Moulton method. Fractional derivatives with non singular Mittag-Leffler function in Liouville-Caputo sense and the fractional derivative of Liouville-Caputo type are considered. Some examples have been presented in order to compare the results obtained, classical behaviors are recovered when the derivative order is 1.
Keyword(s):
2017 ◽
Vol 9
(1)
◽
pp. 168781401668335
2015 ◽
Vol 4
(3)
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pp. 201-208
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2020 ◽
Vol 5
(1)
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pp. 171-188
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