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On the new fractional operator and application to nonlinear bloch system

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dc.contributor.author G�mez-Aguilar J.F.
dc.contributor.author Ghanbari B.
dc.contributor.author Bonyah E.
dc.date.accessioned 2022-10-31T15:05:30Z
dc.date.available 2022-10-31T15:05:30Z
dc.date.issued 2019
dc.identifier.issn 21941009
dc.identifier.other 10.1007/978-981-13-9608-3_9
dc.identifier.uri http://41.74.91.244:8080/handle/123456789/447
dc.description G�mez-Aguilar, J.F., CONACyT-Tecnol�gico Nacional de M�xico/CENIDET, Interior Internado Palmira S/N, Col. Palmira, Cuernavaca, Morelos C.P. 62490, Mexico; Ghanbari, B., Department of Engineering Science, Kermanshah University of Technology, Kermanshah, Iran; Bonyah, E., Department of Mathematics Education, University of Education Winneba, Kumasi Campus, Winneba, Ghana en_US
dc.description.abstract In this chapter, we analyze the nonlinear Bloch system with a new fractional operator without singular kernel proposed by Michele Caputo and Mauro Fabrizio. The commensurate and non-commensurate order nonlinear Bloch system is considered. Special solutions using a numerical scheme based in Lagrange interpolations were obtained. We studied the uniqueness and existence of the solutions employing the fixed point theorem. Novel chaotic attractors with total order less than 3 are obtained. � Springer Nature Singapore Pte Ltd 2019. en_US
dc.publisher Springer New York LLC en_US
dc.subject Bloch system en_US
dc.subject Exponential-decay law en_US
dc.subject Fractional calculus en_US
dc.subject Lagrange interpolation en_US
dc.title On the new fractional operator and application to nonlinear bloch system en_US
dc.type Conference Paper en_US


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