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Collocation methods for terminal value problems of tempered fractional differential equations

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2020

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Elsevier

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Abstract

A class of tempered fractional differential equations with terminal value problems are investigated in this paper. Discretized collocation methods on piecewise polynomials spaces are proposed for solving these equations. Regularity results are constructed on weighted spaces and convergence order is studied. Several examples are supported the theoretical parts and compared with other methods. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.

Description

Wu, Guo-Cheng/0000-0002-1946-6770

Keywords

Terminal Value Problems, Tempered Fractional Differential Equations, Discrete Collocation Methods, Piecewise Polynomials Spaces, Fredholm-Volterra Integral Equations

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Citation

Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru (2020). "Collocation methods for terminal value problems of tempered fractional differential equations", Applied Numerical Mathematics, Vol. 156, pp. 385-395.

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Volume

156

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385

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395