Generalized Time Fractional Ito System by an Fractional Homotopy Perturbation Transform Method

Vol-8 | Issue-11 | November-2021 | Published Online: 15 November 2021    PDF ( 502 KB )
DOI: https://doi.org/10.53573/rhimrj.2021.v08i11.001
Author(s)
Dr. Usha Singh 1

1Department of Mathematics, C.L Jain (PG) College, Firozabad, (U.P.), 283205

Abstract

Paper portrays the approximate solution to generalized time fractional Ito system, which is obtained by Fractional homotopy perturbation transform method (FHPTM). Numerical experiment is conducted to present efficiency of proposed numerical methods. Results for different fractional values of time-derivative are compared with previously existing methods and discussed in figures. Further findings of this researc reveal that schemes are attractive, reliable and effective, easy to exploit.

Keywords
Time-fractional ITO system; Non-linear partial differential equation; Caputo fractional derivative; Fractional homotopy perturbation transform method
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