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

Journal Article · Sun Jul 15 04:00:00 EDT 2018 · Computational and Applied Mathematics

DOI:https://doi.org/10.1007/S40314-017-0551-9· OSTI ID:22783793

Amin, A. Z. M., ^[1]

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1. Canadian International College (CIC), Department of Basic Science, Institute of Engineering (Egypt)

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, D{sup ν(x)}, and integral, I{sup ν(x)}, 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.

• OSTI ID: 22783793
• Journal Information: Computational and Applied Mathematics, Journal Name: Computational and Applied Mathematics Journal Issue: 3 Vol. 37; ISSN 0101-8205
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
ALGORITHMS
INTEGRALS
INTEGRO-DIFFERENTIAL EQUATIONS
QUADRATURES
RELIABILITY