Strong and mild solutions of the system of fractional ordinary differential equation and it’s applications

J.M. Sonawane; B. R. Sontakke; K. C. Takale

doi:10.26637/MJM0804/0018

Abstract

The purpose of this paper is to solve the system of fractional ordinary differential equations. Furthermore, we prove the solution obtained by using Laplace transform technique are mild and strong solutions. We established the existence and uniqueness of the solution. Also, we simulate strong solutions of the system of fractional order differential equations by maxima software.

Keywords:

Fractional derivatives, Mittag-Leffler function, Strong and Mild Solutions, Green’s Function, Maxima.

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

J.M. Sonawane Department of Mathematics, R.H. Sapat College of Engineering, Management Studies and Research Center, Nashik, India.
B. R. Sontakke Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, Aurangabad, India.
K. C. Takale Department of Mathematics, RNC Arts, JDB Commerce and NSC Science College, Nashik-Road, Nashik, India.

Pages: 1443-1453
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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