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yang520530: ½ð±Ò+10, ·Ç³£¸Ðл 2017-10-31 16:43:40
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yang520530: ½ð±Ò+10, ·Ç³£¸Ðл 2017-10-31 16:43:40
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Òѱ»SCI¼ìË÷£¬PDF¼û¸½¼þ AN EFFICIENT NUMERICAL METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO CAPUTO DERIVATIVES ×÷Õß:Yang, SP (Yang, Shuiping)[ 1 ] ; Xiao, AG (Xiao, Aiguo)[ 2 ] JOURNAL OF COMPUTATIONAL MATHEMATICS ¾í: 34 ÆÚ: 2 Ò³: 113-134 DOI: 10.4208/jcm.1510-m2014-0050 ³ö°æÄê: 2016 ²é¿´ÆÚ¿¯Ó°Ïì ÕªÒª In this paper, we study the Hermite cubic spline collocation method with two parameters for solving a initial value problem (IVP) of nonlinear fractional differential equations with two Caputo derivatives. The convergence and nonlinear stability of the method are established. Some illustrative examples are provided to verify our theoretical results. The numerical results also indicate that the convergence order is min{4 - alpha, 4 - beta}, where 0 < beta < alpha < 1 are two parameters associated with the fractional differential equations. ¹Ø¼ü´Ê ×÷Õ߹ؼü´Ê:Fractional differential equations; Caputo derivatives; Spline collocation method; Convergence; Stability KeyWords Plus:INTEGRAL-EQUATIONS; 2ND KIND; VOLTERRA ×÷ÕßÐÅÏ¢ ͨѶ×÷ÕßµØÖ·: Yang, SP (ͨѶ×÷Õß) Huizhou Univ, Dept Math, Huizhou 516007, Guangdong, Peoples R China. µØÖ·: [ 1 ] Huizhou Univ, Dept Math, Huizhou 516007, Guangdong, Peoples R China ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ [ 2 ] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China µç×ÓÓʼþµØÖ·:yang52053052@163.com; xag@xtu.edu.cn »ù½ð×ÊÖúÖÂл »ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ National NSF of China 11501238 11401248 NSF of Guangdong Province 2014A030313641 NSF of Huizhou University hzuxl201420 ²é¿´»ù½ð×ÊÖúÐÅÏ¢ ³ö°æÉÌ GLOBAL SCIENCE PRESS, ROOM 3208, CENTRAL PLAZA, 18 HARBOUR RD, WANCHAI, HONG KONG 00000, PEOPLES R CHINA Àà±ð / ·ÖÀà Ñо¿·½Ïò:Mathematics Web of Science Àà±ð:Mathematics, Applied; Mathematics ÎÄÏ×ÐÅÏ¢ ÎÄÏ×ÀàÐÍ:Article ÓïÖÖ:English Èë²ØºÅ: WOS:000399808600001 ISSN: 0254-9409 eISSN: 1991-7139 ÆÚ¿¯ÐÅÏ¢ Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports ÆäËûÐÅÏ¢ IDS ºÅ: ES8LN Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 21 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 |
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