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Journal of Jilin University Science Edition

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Hybrid Collocation Method for Solving Terminal Value Problemsof a Class of Fractional Differential Equations

WANG Linjun^1, WU Yan^1, LIU Mengxue¹, MENG Yiping², CAO Mingyu³

1. School of Science, Jiangsu University, Zhenjiang 212013, Jiangsu Province, China;2. School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, Jiangsu Province, China;3. College of Mathematics, Jilin University, Changchun 130012, China

Received:2018-01-29 Online:2018-07-26 Published:2018-07-31
Contact: WANG Linjun E-mail:wanglinjun@ujs.edu.cn

Abstract

Abstract: We considered a hybrid collocation method for solving terminal value problems of a class of fractional differential equations. Firstly, based on shooting method, we converted terminal value problems of fractional differential equations to initial value problems. Secondly, using the theoretical results of the initial value problems of fractional differential equations, we gave a hybrid collocation method for solving the terminal value problems. Finally, we verified the validity of the method to solve terminal value problems of fractional differential equations by numerical simulation.

Key words: terminal value problem, fractional differential equation, hybrid collocation method

CLC Number:

O241.8

WANG Linjun, WU Yan, LIU Mengxue, MENG Yiping, CAO Mingyu. Hybrid Collocation Method for Solving Terminal Value Problemsof a Class of Fractional Differential Equations[J].Journal of Jilin University Science Edition, 2018, 56(4): 897-900.

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Hybrid Collocation Method for Solving Terminal Value Problemsof a Class of Fractional Differential Equations

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