Browsing Matematik Bölümü by Subject "M-Fractional Derivative"

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Further studies on ordinary differential equations involving the M-fractional derivative

Khoshkenar, A.; Ilie, M.; Hosseini, K.; Baleanu, D.; Salahshour, S.; Park, C.; Lee, J.R. (2022)

In 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 ...
M-fractional derivative under interval uncertainty: Theory, properties and applications

Salahshour, S.; Ahmadian, Ali; Abbasbandy, S.; Baleanu, Dumitru (Pergamon-Elsevier Science LTD, 2018-12)

In the recent years some efforts were made to propose simple and well-behaved fractional derivatives that inherit the classical properties from the first order derivative. In this regards, the truncated M-fractional ...
Novel precise solutions and bifurcation of traveling wave solutions for the nonlinear fractional (3+1)-dimensional WBBM equation

Siddique, Imran; Mehdi, Khush Bukht; Jarad, Fahd; Elbrolosy, Mamdouh E.; Elmandouh, Adel A. (2023-01-20)

The nonlinear fractional differential equations (FDEs) are composed by mathematical modeling through nonlinear corporeal structures. The study of these kinds of models has an energetic position in different fields of applied ...

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