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Titlebook: Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus; George A. Anastassiou,Ioannis K. Argyros Book 2016 Spr

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Fixed Point Results and Their Applications in Left Multivariate Fractional Calculus,tivariate fractional calculus. It follows G. Anastassiou, I. Argyros, A fixed point convergence theorem with applications in left multivariate fractional calculus (submitted for publication, 2015) [.].
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Newton-Like Procedures and Their Applications in Multivariate Fractional Calculus, semi-local convergence analysis is presented for these methods under very general Newton-Mysovskii-type conditions suitable for a wider range of problems than in earlier studies. In particular, we suggest some applications in multivariate fractional calculus.
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Implicit Iterative Algorithms and Their Applications in Multivariate Calculus,ufficient conditions are more general even in the explicit convergence case leading to a larger convergence domain, tighter error estimates on the distances involved and an at least as precise information on the location of the solution than in earlier studies.
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978-3-319-81558-9Springer International Publishing Switzerland 2016
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