• Nishita
• Daisy Jagga
• Rajesh Kumar Chandrawat

In this paper, different partial differential equations are formulated under some fuzzy initial conditions and the fuzzy Laplace transform is applied to get fuzzy solutions. Three different initial conditions with trapezoidal, slipped and Sine-fuzzy, numbers are imposed and systems of fuzzy differential equations are prepared. The fuzzy Laplace transform is established for all defined trapezoidal, Sine-fuzzy numbers. The lower central and upper solutions according the applied fuzzy initial conditions are presented. The solution in terms of membership grade has also illustrated.

Fuzzy differential equation, Fuzzy initial conditions, Triangular, Trapezoidal fuzzy number, Fuzzy Laplace transform

"The study of some partial differential equation with fuzzy trapezoidal, slipped and Sine-fuzzy initial conditions using fuzzy Laplace transforms.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 10, page no.362-373, October 2018, Available :http://www.jetir.org/papers/JETIRDQ06051.pdf

"The study of some partial differential equation with fuzzy trapezoidal, slipped and Sine-fuzzy initial conditions using fuzzy Laplace transforms.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 10, page no. pp362-373, October 2018, Available at : http://www.jetir.org/papers/JETIRDQ06051.pdf