4.6 Article

SOLVING FRACTIONAL DELAY DIFFERENTIAL EQUATIONS: A NEW APPROACH

Journal

FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Volume 18, Issue 2, Pages 400-418

Publisher

WALTER DE GRUYTER GMBH
DOI: 10.1515/fca-2015-0026

Keywords

delay differential equations; fractional nonlinear differential equations; Adam's method; new iterative method; predictor-corrector method

Funding

  1. Savitribai Phule Pune University
  2. National Board for Higher Mathematics, Mumbai, India [2/48(6)/2013/NBHM(R.P.)/RDII/689]

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A new method to solve non-linear fractional-order differential equations involving delay has been presented. Applications to a variety of problems demonstrate that the proposed method is more accurate and time efficient compared to existing methods. A detailed error analysis has also been given.

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