Generalized Time Fractional Ito System: Solitary Wave Solutions by an Analytical Technique

Ram N. S. Sisodiya; Ajay K. Sharma; Vinod Kumar; Apurav R. Gupta

doi:10.18090/samriddhi.v14i03.26

Ram N. S. Sisodiya Department of Mathematics, Sardar Patel Mahavidyalaya Chandrapur, Maharashtra, India
Ajay K. Sharma Department of Mathematics, Mahatma Gandhi College of Science, Gadchandur, Maharashtra, India
Vinod Kumar Department of Mathematics, Chintamani College of Science, Pmbhurna, Maharashtra, India
Apurav R. Gupta Department of Mathematics, L.P.G. Arts and Science Mahavidyalaya Shirpur (Jain) Dist. Washim Maharashtra, India

DOI: https://doi.org/10.18090/samriddhi.v14i03.26

Keywords: The time-fractional ITO system, Caputo fractional derivative, Non-linear partial differential equation, and the fractional vibrational iteration method

Abstract

This study gives an approximate solution to the generalized time-fractional Ito system using fractional variational iteration. The proposed numerical methods are shown to be efficient by convergence analysis and numerical experiment. Diverse fractional values of time-derivative are evaluated to existing approaches and illustrated using figures. This research shows that schemes are appealing, credible and easy to exploit.

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