SOLVING FRACTIONAL DIFFUSION AND WAVE EQUATIONS BY MODIFIED HOMOTOPY PERTURBATION METHOD

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THE CONSTRUCTION OF OPERATIONAL MATRIX OF FRACTIONAL DERIVATIVES USING B-SPLINE FUNCTIONS (2012, background): “We also refer the interested reader to [6,7,10,13,18,19,25,37,38,45].”
A Legendre collocation method for fractional integro-differential equations (2011, methodology): “Recently, several numerical methods to solve fractional differential equations and fractional integro-differential equations have been given such as variational iteration method (Inc, 2008), homotopy perturbation method (Jafari and Momani, 2007; Sweilam et al., 2007), Adomian’s decomposition method ”
Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions (2017, background): “…equations have several applications in mathematical physics, fluid flow, engineering and other areas of applications (Miller and Ross, 1993; Podlubny, 1999; Jafari and Momani, 2007; Daftardar and Jafari, 2007; Figure 1 The absolute error, the estimated absolute error and the co a ¼ 0:75.”
A Tutorial Review on Fractal Spacetime and Fractional Calculus (2014, unknown): “In 2007 Momani and Odibat adopted the method for fractional differential equations with great success [80] and now it is an effective method for fractional calculus [81–92].”