Predictor–corrector for non-linear differential and integral equation with fractal–fractional operators

T Mekkaoui, A Atangana, Sİ Araz - Engineering with Computers, 2021 - Springer
T Mekkaoui, A Atangana, Sİ Araz
Engineering with Computers, 2021Springer
Fractal–fractional differential and integral operators have been recognized recently as
superior operators as they are able to depict physical problem with both memory effect and
self-similar properties. Therefore, differential and integral equations constructed from these
new operators are of great importance. In this paper, we extend the method of predictor–
corrector to obtain numerical solution of non-linear differential and integral equations. Some
examples are presented to illustrate the efficiency of the new method for solving these new …
Abstract
Fractal–fractional differential and integral operators have been recognized recently as superior operators as they are able to depict physical problem with both memory effect and self-similar properties. Therefore, differential and integral equations constructed from these new operators are of great importance. In this paper, we extend the method of predictor–corrector to obtain numerical solution of non-linear differential and integral equations. Some examples are presented to illustrate the efficiency of the new method for solving these new equations.
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