{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T14:10:44Z","timestamp":1743084644898,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":11,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642147876"},{"type":"electronic","value":"9783642147883"}],"license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-14788-3_34","type":"book-chapter","created":{"date-parts":[[2011,5,27]],"date-time":"2011-05-27T10:00:54Z","timestamp":1306490454000},"page":"467-470","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Application of Fractional Order Concepts in the Study of Electrical Potential"],"prefix":"10.1007","author":[{"given":"Isabel S.","family":"Jesus","sequence":"first","affiliation":[]},{"given":"J. A. Tenreiro","family":"Machado","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,4,12]]},"reference":[{"key":"34_CR1_34","doi-asserted-by":"publisher","first-page":"554","DOI":"10.1109\/8.489308","volume":"44","author":"N Engheta","year":"1996","unstructured":"Engheta, N.: On fractional calculus and fractional multipoles in electromagnetism. IEEE Trans. Antennas Propag. 44, 554\u2013566 (1996)","journal-title":"IEEE Trans. Antennas Propag."},{"key":"34_CR2_34","unstructured":"Machado, J.T., Jesus, I.S., Galhano, A.: Electric fractional order potential. Proceedings of the XII International Symposium on Electromagnetics Fields in Mechatronics, Electrical and Electronic Engineering (ISEF\u201905), Spain (2005)"},{"key":"34_CR3_34","doi-asserted-by":"crossref","unstructured":"Machado, J.T., Jesus, I., Galhano, A., Cunha, J.B.: Fractional order electromagnetics. Signal Processing (EURASIP\/Elsevier) Special Issue on Fractional Calculus Applications in Signals and Systems, vol. 86, pp. 2637\u20132644 (2006)","DOI":"10.1016\/j.sigpro.2006.02.010"},{"key":"34_CR4_34","unstructured":"Jesus, I.S., Machado, J.A.T., Cunha, J.B.: Application of genetic algorithms to the implementation of fractional electromagnetic potentials. Proceedings of The Fifth International Conference on Engineering Computational Technology (ECT\u201906), Spain (2006)"},{"key":"34_CR5_34","volume-title":"Applied Electricity for Engineers","author":"L Bessonov","year":"1968","unstructured":"Bessonov, L.: Applied Electricity for Engineers. MIR, Moscow (1968)"},{"key":"34_CR6_34","unstructured":"Jesus, I.S., Machado, J.T.: An Evolutionary approach for the synthesis of fractional potentials. Fractional Calculus and Applied Analysis \u2013 FCAA, An International Journal for Theory and Applications, vol. 3, pp. 237\u2013248 (2008)"},{"key":"34_CR7_34","volume-title":"The Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order","author":"KB Oldham","year":"1974","unstructured":"Oldham, K.B., Spanier, J.: The Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order. Academic, New York (1974)"},{"key":"34_CR8_34","volume-title":"La Commande CRONE: Commande Robuste d\u2019Ordre Non Entier","author":"A Oustaloup","year":"1991","unstructured":"Oustaloup, A.: La Commande CRONE: Commande Robuste d\u2019Ordre Non Entier. Hermes, France (1991)"},{"key":"34_CR9_34","volume-title":"Genetic Algorithms in Search Optimization and Machine Learning","author":"DE Goldberg","year":"1989","unstructured":"Goldberg, D.E.: Genetic Algorithms in Search Optimization and Machine Learning. Addison-Wesley, Reading, MA (1989)"},{"key":"34_CR10_34","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/3927.001.0001","volume-title":"An Introduction to Genetic Algorithms","author":"M Mitchell","year":"1998","unstructured":"Mitchell, M.: An Introduction to Genetic Algorithms. MIT, Cambridge, MA (1998)"},{"key":"34_CR11_34","unstructured":"Jesus, I.S., Machado, J.A.T., Barbosa, R.S.: Implementing an electrical fractional potential through a genetic algorithm. Proceedings of The 2nd Conference on Nonlinear Science and Complexity (NSC\u201908), Portugal (2008)"}],"container-title":["Springer Proceedings in Mathematics","Dynamics, Games and Science II"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-14788-3_34","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,27]],"date-time":"2023-01-27T23:00:14Z","timestamp":1674860414000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-642-14788-3_34"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642147876","9783642147883"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-14788-3_34","relation":{},"ISSN":["2190-5614","2190-5622"],"issn-type":[{"type":"print","value":"2190-5614"},{"type":"electronic","value":"2190-5622"}],"subject":[],"published":{"date-parts":[[2011]]},"assertion":[{"value":"12 April 2011","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}