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ÂÛÎÄÃû³Æ£ºAN EFFICIENT NUMERICAL METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO CAPUTO DERIVATIVES
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yang520530: ½ð±Ò+10, ·Ç³£¸Ðл 2017-10-31 16:43:40
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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
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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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