Current Developments in Mathematical Sciences

Current Developments in Mathematical Sciences

Volume: 1

Frontiers in Fractional Calculus

This book brings together eleven topics on different aspects of fractional calculus in a single volume. It provides readers the basic knowledge of fractional calculus and introduces advanced topics ...
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Analysis of Solution and System Identification of Coupled Fractional Delay Differential Equation by Shifted Jacobi Polynomials

Pp. 106-131 (26)

B. Ganesh Priya, P. Muthukumar and P. Balasubramaniam

Abstract

This chapter is concerned with a class of linear delay differential equation with two fractional orders. Based on the shifted Jacobi operational matrix method, the numerical approximate solution as well as the parameters estimation for the proposed system are obtained. The maximum error bounds of approximate solution and operational matrix for fractional integration are analyzed. The main results are illustrated with suitable examples.

Keywords:

Fractional delay differential equation, Linear estimation, Operational matrix, Shifted Jacobi polynomial.Fractional delay differential equation, Linear estimation, Operational matrix, Shifted Jacobi polynomial.

Affiliation:

Department of Mathematics, The Gandhigram Rural Institute-Deemed University, Gandhigram 624 302, India.