M. Y. Youssif, Yagoub. A. S. Arko, O.A.I. Elziber, M. A. Osman, S. Saber
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Numerical method for chaotic system in sense of Caputo-Fabrizio operator with exponential decay kernel
In this paper, we present a novel numerical scheme for a model involving novel mathematical concepts of significant importance for interpreting and examining real-world problems. This paper presents a numerical method for chaotic problems. Using differential and integral operators in the sense of Caputo-Fabrizio, we investigated the chaotic system of mathematical equations able to capture chaotic behaviour. Solutions are obtained for the fractional-order chaotic model using a fractional operator with a non-singular kernel. Uniqueness and boundedness for solution are proved through fixed point theory. Finally, we applied a numerical power series method to solve the proposed fractional model. Due to the high non-linearity of our problem, we used a suitable numerical scheme to solve this system of equations numerically.
期刊介绍:
Interciencia is the monthly multidisciplinary publication of the INTERCIENCIA Association. It is dedicated to stimulate scientific research, its humanitarian use and the study of its social context, specially in Latin America and the Caribbean and to promote communication between the scientific and technological communities of the Americas.
Interciencia has been published uninterruptedly since 1976. Its Founding Director, Marcel Roche (endocrinologist and sociologist of science) was editor until 2008, and thereafter Miguel Laufer (neurobiologist) has been in charge. It has been included since 1978 in the Science Citation Index and other international indexes, and since 2008 it maintains an open access electronic version with material from 2005 onwards.
The priority areas of the journal, without exclusion of other areas, are Agronomy, Arid Lands, Food and Nutrition, Biotechnology, Ecology and Environment, Energy, Innovation and Technology Transfer, Marine Resources, Non-renewable Resources, Science Education, Science Policy, Study and Sociology of Science, and Tropical Forests.
Interciencia publishes in Spanish, Portuguese and English research and review articles, communications and essays, all of which are subjected to peer review. Additionally, it includes non-refereed sections such as Editorial, Letters to the Editor, Open Town Hall, Book Reviews and Upcoming Events.
All the material submitted to the journal for publication and accepted by the Editorial Committee in view of its quality and pertinence is subjected to review by peer specialists in the corresponding fields of knowledge. Neither the INTERCIENCIA Association, nor the journal or the institutions to which the authors belong carry responsibility for the contents. Signing authors are responsible for the material published under their names.