Fractional Newton mechanics with conformable fractional derivative

By Won Sang Chung. Journal of Computational and Applied Mathematics, 2015

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Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method (2016, background): “In short time, many studies related to this new fractional derivative definition was done [3,4,5]”
Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method (2016, neutral): “In short time, many studies related to this new fractional derivative definition was done [3,4,5]”
Newly Defined Conformable Derivatives (2015, background): “Several follow-up papers using at least one of the above conformable definitions include [2–8, 10–13, 19].”
General conformable fractional derivative and its physical interpretation (2017, background): “Some scholars followed this work and explored potential applications in Newton mechanics [28], quantum mechanics [29] and so on [30].”
Modified Auxiliary Equation Method versus Three Nonlinear Fractional Biological Models in Present Explicit Wave Solutions (2018, neutral): “u(x, y, t) = α √ s σ √ −α2σ2 cot √ασ(− λ √ stκ √ −ασ + μx κ + iμyκ) κ  , (25)”
New exact solutions of Burgers’ type equations with conformable derivative (2017, methodology): “For instance, Hammad and Khalil [15] interpret the solution for the conformable heat equation and Chung [16] used the conformable derivative and integral to discuss conformable Newtonian mechanics.”