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On spectral methods for solving variable-order fractional integro-differential equations

Title
On spectral methods for solving variable-order fractional integro-differential equations
Type
Article in International Scientific Journal
Year
2018
Authors
E. H. Doha
(Author)
Other
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M. A. Abdelkawy
(Author)
Other
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A. Z. M. Amin
(Author)
Other
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António M. Lopes
(Author)
FEUP
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Journal
Vol. 37 No. 3
Pages: 3937-3950
ISSN: 1807-0302
Publisher: Springer Nature
Other information
Authenticus ID: P-00P-0AE
Abstract (EN): This paper applies the shifted Jacobi-Gauss collocation (SJ-G-C) method for solving variable-order fractional integro-differential equations (VO-FIDE) with initial conditions. The Riemann-Liouville fractional derivative, , and integral, , of variable order are combined, and the SJ-G-C applied to produce a system of algebraic equations. Numerical experiments demonstrate the applicability and reliability of the algorithm when compared with current methods.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 14
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