Analytical Investigation of Nonlinear Fractional Harry Dym and Rosenau-Hyman Equation via a Novel Transform

We use a new integral transform approach to solve the fractional Harry Dym equation and Rosenau-Hyman in this work. The Elzaki transformation are combined suggested method (ET). To handle two nonlinear problems, we first construct transforms of Caputo derivative (CFD) Atangana-Baleanu (ABFD). ultimate purpose study is find an error analysis that demonstrates our final result converges exact approximate result. convergent series form solution method’s efficiency resolving several types differential equations. Furthermore, solutions obtained agree well with solutions; thus, strategy powerful efficient as alternate way for obtaining both linear