Fuzzy Logic Used to Solve ODEs of Second Order Under Neutrosophic Initial Conditions

Sahar M. Jabbar^*1  , Azal Mera ²  , Ameera N. Alkiffai ³

^1,2 Department of Mathematics, College of Education for Pure Science, University of Babylon, Babil, Iraq.

³ Department of Mathematics, College of Education for Women, University of Kufa, Al-Najaf, Iraq.

Emails: pure.saher.mohsen@uobabylon.edu.iq; azal.mera@uobabylon.edu.iq;

 ameeran.alkiffai@uokufa.edu.iq

Abstract

The Mohand transform method, which has the benefit of unit preservation property over the well-established Laplace transform method, is used in this study to solve the ordinary differential equation of second order with neutrosophic numbers as initial conditions. Moreover, the solution obtained at different   –cut .

Keywords: Fuzzy number; Neutrosophic number; Neutrosophic triangular number; Strongly –generalized differentiability; Mohand transform; Fuzzy Mohand transform.