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Previous studies have focused on the integer\u2010order models of ion\u2010acoustic solitary waves. With the development of theory and advancement of scientific research, fractional calculus has begun to be considered as a method for the study of physical systems. The study of fractional calculus has opened a new window for understanding the features of ion\u2010acoustic solitary waves and can be a potentially valuable approach for investigations of magnetized plasma. In this paper, based on the basic system of equations for ion\u2010acoustic solitary waves and using multi\u2010scale analysis and the perturbation method, we have obtained a new model called the three\u2010dimensional(3D) Schamel\u2010KdV equation. Then, the integer\u2010order 3D Schamel\u2010KdV equation is transformed into the time\u2010space fractional Schamel\u2010KdV (TSF\u2010Schamel\u2010KdV) equation by using the semi\u2010inverse method and the fractional variational principle. To study the properties of ion\u2010acoustic solitary waves, we discuss the conservation laws of the new time\u2010space fractional equation by applying Lie symmetry analysis and the Riemann\u2010Liouville fractional derivative. Furthermore, the multi\u2010soliton solutions of the 3D TSF\u2010Schamel\u2010KdV equation are derived using the Hirota bilinear method. Finally, with the help of the multi\u2010soliton solutions, we explore the characteristics of motion of ion\u2010acoustic solitary waves.<\/jats:p>","DOI":"10.1155\/2018\/6852548","type":"journal-article","created":{"date-parts":[[2018,6,27]],"date-time":"2018-06-27T23:41:54Z","timestamp":1530142914000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":44,"title":["Study of Ion\u2010Acoustic Solitary Waves in a Magnetized Plasma Using the Three\u2010Dimensional Time\u2010Space Fractional Schamel\u2010KdV Equation"],"prefix":"10.1155","volume":"2018","author":[{"given":"Min","family":"Guo","sequence":"first","affiliation":[]},{"given":"Chen","family":"Fu","sequence":"additional","affiliation":[]},{"given":"Yong","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Jianxin","family":"Liu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0953-2498","authenticated-orcid":false,"given":"Hongwei","family":"Yang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2018,6,27]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asr.2012.02.018"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.3027509"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.4875987"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.1609446"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.39.9536"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.17.996"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1088\/0032-1028\/18\/3\/001"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.01.018"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-018-1512-3"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.04.057"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2016.01.002"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/5258375"},{"key":"e_1_2_11_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/s13324-017-0181-9"},{"key":"e_1_2_11_14_2","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-016-0901-8"},{"key":"e_1_2_11_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2014.10.011"},{"key":"e_1_2_11_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2016.05.147"},{"key":"e_1_2_11_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejbas.2015.08.004"},{"key":"e_1_2_11_18_2","article-title":"Monotone iterative method for fractional differential equations","volume":"2016","author":"Bai Z.","year":"2016","journal-title":"Electronic Journal of Differential Equations"},{"key":"e_1_2_11_19_2","doi-asserted-by":"publisher","DOI":"10.15388\/NA.2018.1.3"},{"key":"e_1_2_11_20_2","first-page":"367","article-title":"New solitary wave and multiple soliton solutions for the time-space fractional Boussinesq equation","author":"Jaradat H. 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