AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

By Zaid M. Odibat, Shaher Momani. 2008

151 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/219b18660f93ecef8cc4884af8bd9d7406fa52b3

Citations in the corpus

• An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data (2017, unknown): “The L1 scheme may be obtained by direct approximation of the derivative in the definition of the Caputo fractional derivative, e.g. , [28], [26], [18], [29], [47], [19], or by the approximation of the Hadamard finite-part integral, e.g. , [9], [11], [15], [16], [17], [24], [51].”
• Shehu Transform and Applications to Caputo-Fractional Differential Equations (2019, unknown): “When n = 1, b0 = −1 and b1 = g (t) = 0 , we obtain [11] Dy (t) + y (t) = 0, 0 < α ≤ 1, t > 0, (3.”