Titlebook: Numerical Methods for Fractional Differentiation; Kolade M. Owolabi,Abdon Atangana Book 2019 Springer Nature Singapore Pte Ltd. 2019 Fract

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,Numerical Approximation of Atangana–Baleanu Differentiation,ith non-local behaviour. We have also seen an interest of these operators in the field of numerical analysis. Thus, to accommodate readers interesting in applying these derivatives to numerical analysis, we present in this chapter some numerical scheme in connection with the Atangana–Baleanu fractional differential operators.

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,Numerical Approximation of Caputo–Fabrizio Differentiation,cular point requires knowledge of the function further out of the region close to that point. Accordingly, finite difference approximations of derivatives of fractional order engage a quantity of points that alters according to how faraway we are from the borderline.

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0179-3632 Discusses Caputo–Fabrizio differential and integral operator.This book discusses numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations, involving fractional differential and integral operators. Differential and integral ope

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Finite Difference Approximations,fusion problems with a clear justification through examples, the supremacy between the second- and fourth-order schemes. As a consequence, methods for the solution of initial and boundary value PDEs, such as the method of lines (MOL), is of broad interest in science and engineering. This procedure b

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,Numerical Approximation of Atangana–Baleanu Differentiation, The new kernel introduced is the well-known generalized Mittag–Leffler function and the properties of this function enable the new operators to have some interesting properties that are observed in real-world situation, for instance, the crossover of the mean square displacement and scaling variant