A Reliable Technique for Solving Fractional Partial Differential Equation

The development of numeric-analytic solutions and the construction fractional-order mathematical models for practical issues are greatest importance in a variety applied mathematics, physics, engineering problems. Laplace residual-power-series method (LRPSM), new dependable technique resolving fractional partial differential equations, is introduced this study. (RPSM), well-known technique, transform (LT) elegantly combined suggested technique. This innovative approach computes derivative Caputo sense. proposed handling equations provided detail, along with its implementation. novel yields series solution to equations. To validate simplicity, effectiveness, viability model tested simulated. A numerical graphical description effects order γ on approximating provided. Comparative results show that approximates more precisely than current methods such as natural homotopy perturbation method. study showed aforementioned straightforward, trustworthy, suitable analysing non-linear physical issues.