Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method

Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method
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DOI:
10.1016/j.amc.2006.01.007
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发表时间:
2006-09
期刊:
Appl. Math. Comput.
影响因子:
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通讯作者:
H. Jafari;Varsha Daftardar-Gejji
H. Jafari;Varsha Daftardar-Gejji
中科院分区:
其他
文献类型:
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作者:
H. Jafari;Varsha Daftardar-Gejji

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本文利用Adomian分解方法求解分数阶非线性两点边值问题,其中Dα为Caputo分数阶导数,c为常数,μ>0,F:[0,1]×[0,∞)→[0,∞)为连续函数.分数Bratu问题作为一个说明性的例子解决。
We use Adomian decomposition method for solving the fractional nonlinear two-point boundary value problemwhere Dαis Caputo fractional derivative, c is a constant, μ>0, and F:[0,1]×[0,∞)→[0,∞) a continuous function. The fractional Bratu problem is solved as an illustrative example.