An integro quadratic spline approach for a class of variable-order fractional initial value problems

B.P. Moghaddam, J.A.T. Machado and H. Behforooz

Chaos, Solitons & Fractals, 2017, vol. 102, issue C, 354-360

Abstract: This paper develops a technique for the approximate solution of a class of variable-order fractional differential equations useful in the area of fluid dynamics. The method adopts a piecewise integro quadratic spline interpolation and is used in the study of the variable-order fractional Bagley–Torvik and Basset equations. The accuracy of the proposed algorithm is verified by means of illustrative examples.

Keywords: Variable-order fractional calculus; Spline approximation; Integro spline; Bagley–Torvik fractional equation; Basset fractional equation (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:102:y:2017:i:c:p:354-360

DOI: 10.1016/j.chaos.2017.03.065

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