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Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
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Fractional differential equations as alternative models to nonlinear differential equations
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Rivero, Juan J Trujillo
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Fractional differential equations and the Schrödinger equation
Applied Mathematics and Computation, 2005The authors study fractional differential equations associated to the \(\alpha\)-derivative, where such equations appear in many problems. In particular, they obtain a fractional differential equation related to the classical Schrödinger equation by studying Nottale's approach to quantum mechanics via a fractal space-time.
Fayçal Ben Adda, Jacky Cresson
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On solutions of fractional differential equations
AIP Conference Proceedings, 2018In this paper, we obtain exact and approximate solutions of differential equations by reproducing kernel Hilbert space method. We demonstrate our solutions by series.
Akgul, A., Sakar, M. Giyas
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q-fractional differential equations with uncertainty
Soft Computing, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Z. Noeiaghdam +2 more
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Total fractional differentials with applications to exact fractional differential equations
International Journal of Computer Mathematics, 2018In this paper we introduce and study exact fractional differential equations, where we use the conformable fractional derivative. This forces us to introduce the fractional differential function.
Mohammed Alhorani, Roshdi Khalil
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Piecewise Fractional Interpolation with Application to Fractional Differential Equation
Journal of Scientific Computing, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammadreza Yarmohammadi +1 more
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Fractional Differential Equations in Electrochemistry
Civil-Comp Proceedings, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional pseudospectral integration/differentiation matrix and fractional differential equations
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saeid Gholami +2 more
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