A new reliable algorithm based on the sinc function for the time fractional diffusion equation

Jacobi spectral method for the fractional reaction–diffusion equation arising in ecology

“…Example 2. Consider following non-homogeneous time FRDE with δ ¼ 1 an θ ¼ À1 [14][15][16][17][18][19][20]:…”

Conformable fractional heat equation with fractional translation symmetry in both time and space

“…Historically, Khalil, Al Horani, Yousef, and Sababheh were the first who introduce conformable fractional derivatives (CFD) [9]. Some applications of the CFD formalism can be found in the literature [10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26]. In a recent work, authors adopted this formalism to the quantum harmonic oscillator problem [27].…”

“…[10] After their novel study, several applications of CFDs formalism were given in Refs. [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. In a recent work, two authors of this manuscript, with their co-authors, adopted this formalism to the quantum harmonic oscillator problem.…”

Sinc-Galerkin method for solving the time fractional convection–diffusion equation with variable coefficients

“…In [37], Pirkhedri et al adopted the sinc-Haar collocation method for the time fractional diffusion equation. In [38], a new reliable algorithm based on the sinc function is employed for the time fractional diffusion equation. In [18], Sweilam et al investigated the numerical solution of the time fractional order telegraph equation by means of the sinc-Legendre collocation method.…”