Current Developments in Mathematical Sciences

Author(s): B. Ganesh Priya, P. Muthukumar and P. Balasubramaniam

DOI: 10.2174/9781681085999118010007

Analysis of Solution and System Identification of Coupled Fractional Delay Differential Equation by Shifted Jacobi Polynomials

Pp: 106-131 (26)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

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.

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