Mekkaoui, ToufikAtangana, AbdonAraz, Seda Igret2024-12-242024-12-2420210177-06671435-5663https://doi.org/10.1007/s00366-020-00948-6https://hdl.handle.net/20.500.12604/5981Fractal-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.eninfo:eu-repo/semantics/closedAccessFractal-fractional derivativeFractal-fractional integralPredictor-correctorNon-linear equationsArticle37323592368Q1WOS:000515781600001Q12-s2.0-8507848346710.1007/s00366-020-00948-6