Pseudo reduced fractional differential transform method and its applications

V. Panwar, B. Singh, Gareema, V. Pradhan

The main aim of this paper is to introduced and studied a fractional Reduced Differential Transform type method in the framework of fractional pseudo-calculus. Further, we have proved some of the basic properties of fractional RgDTM using the tools of pseudo--calculus. We have solved some differential equations using fractional RgDTM. Finally, with the help of Fractional RgDTM we provide an analytic approximate solutions of 1D homogeneous time fractional Cahn-Hilliard equation.

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(1) (2025), pp. 121-144