Study of 1+1 dimensional fractional order non-linear Benney equation using an analytical technique

Abstract

The area related to fractional order partial differential equations (FOPDEs) has also attracted attention. Therefore, we focuss our attention to study nonlinear Benney equations of using power law type Caputo derivative of fractional order. To compute a series-type solution for the problem under consideration, we combine the Adomian approach with the Laplace transform. Our findings are supported by graphical representations and numerical interpretations, illustrating the applicability and insights gained from this approach in solving complex real-world problems.

Keywords

• Fractional calculus
• Fractional order partial differential equations
• Benney equation
• Series type solution