Spline Collocation for Multi-Term Fractional Integro-Differential Equations with Weakly Singular Kernels
Keyword(s):
We consider general linear multi-term Caputo fractional integro-differential equations with weakly singular kernels subject to local or non-local boundary conditions. Using an integral equation reformulation of the proposed problem, we first study the existence, uniqueness and regularity of the exact solution. Based on the obtained regularity properties and spline collocation techniques, the numerical solution of the problem is discussed. Optimal global convergence estimates are derived and a superconvergence result for a special choice of grid and collocation parameters is given. A numerical illustration is also presented.
2006 ◽
Vol 197
(1)
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pp. 253-269
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2017 ◽
Vol 22
(5)
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pp. 654-670
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Keyword(s):
2010 ◽
Vol 2010
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pp. 1-21
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Keyword(s):
2016 ◽
Vol 308
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pp. 231-242
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