A reliable mixed method for singular integro-differential equations of non-integer order
2018 ◽
Vol 13
(1)
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pp. 4
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Keyword(s):
It is our goal in this article to apply a method which is based on the assumption that combines two methods of conjugating collocation and multiple shooting method. The proposed method can be used to find the numerical solution of singular fractional integro-differential boundary value problems (SFIBVPs) Dϑ y(t) + η ∫0t (t−s)ς−1 y(s) ds = g(t), 1 < ϑ ≤ 2, 0 < ς< 1, η ∈ ℝ, where Dϑ denotes the Caputo derivative of order ϑ. Meanwhile, in a separate section the existence and uniqueness of this method is also discussed. Two examples are presented to illustrate the application and further understanding of the methods.
2011 ◽
Vol 14
(4)
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Keyword(s):
Chaotic Analog-to-information Conversion: Sparse Signal Reconstruction with Multiple Shooting Method
2014 ◽
Vol 35
(3)
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pp. 608-613
1968 ◽
Vol 48
(6)
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pp. 415-418
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2017 ◽
Vol 39
(2)
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pp. 449-470
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Keyword(s):
1984 ◽
Vol 17
(2)
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pp. 411-415
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Keyword(s):
2010 ◽
Vol 11
(1)
◽
pp. 10-18
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