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Comment on "IFITM1 is required for epithelial mesenchymal transition in airway remodeling of allergic asthma". [PDF]
Manikya S +3 more
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Exact solitary wave solutions and linear stability of the β-time-fractional Gardner equation in shallow water dynamics. [PDF]
Elsaid Ramadan M +4 more
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Fractional-order neural network for detecting process deviations in optical fiber cable manufacturing. [PDF]
Gomolka Z, Zeslawska E, Olbrot L.
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Topography and functional traits shape the distribution of key shrub plant functional types in low-Arctic tundra. [PDF]
Yang D +12 more
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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.
Gholami, Saeid +2 more
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Heaviside's fractional differentiator
Proceedings of the Physical Society, 1928Operational methods involve the assumption that the operator may be treated whenever convenient either as an algebraic quantity or as the differentiator of the calculus. They are justified if theorems can be found to cover the processes actually used. Such theorems were simple and often obvious in the early methods of Boole and his immediate successors.
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Mathematical Methods in the Applied Sciences, 2020
In this paper, based on the differential quadrature method (DQM), matrix operators are derived for fractional integration and Caputo differentiation. These operators generalize the efficient DQM to fractional calculus. The proposed fractional differential/integral quadrature method (FDIQM) is used to solve various types of fractional ordinary and ...
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In this paper, based on the differential quadrature method (DQM), matrix operators are derived for fractional integration and Caputo differentiation. These operators generalize the efficient DQM to fractional calculus. The proposed fractional differential/integral quadrature method (FDIQM) is used to solve various types of fractional ordinary and ...
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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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Fractional Differential Equations
2018Let the fractional differential equation (FDE) be $$\displaystyle (D^\alpha _{a_+}y)(t) = f[t,y(t)],\hspace {0.2 cm} \alpha > 0,\hspace {0.2 cm} t > a,$$ with the conditions: $$\displaystyle (D^{\alpha - k}_{a+}y)(a+) = b_k,\hspace {0.2 cm} k = 1,\ldots , n,$$ called also Riemann–Liouville FDE.
Constantin Milici +2 more
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