This current work presents a comparative study of the fractional-order Cahn-Allen (CA)
equation, where the non-integer derivative is taken in the Caputo sense. The Cahn-Allen …

In this article, three different techniques, the Fractional Perturbation Iteration Method (FPIA),
Fractional Successive Differentiation Method (FSDM), and Fractional Novel Analytical …

As technology advances and the Internet makes our world a global village, it is important to
understand the prospective career of freelancing. A novel symmetric fractional mathematical …

This article is an analysis of fractional nonlinear convection–reaction–diffusion equations
involving the fractional Atangana–Baleanu and Caputo derivatives. An efficient Aboodh …

In this study, we delve into the effective solution of the fractional tsunami shallow-water
mathematical model. Tsunami propagation and inundation modeling is of paramount …

Fractional calculus, which deals with the concept of fractional derivatives and integrals, has
become an important area of research, due to its ability to capture memory effects and non …

This study uses the optimal auxiliary function method to approximate solutions for fractional-
order non-linear partial differential equations, utilizing Riemann–Liouville's fractional …

In this work, a novel technique is considered for analyzing the fractional-order Jaulent-
Miodek system. The suggested approach is based on the use of the residual power series …

In this article, we investigate the utilization of Riemann–Liouville's fractional integral and the
Caputo derivative in the application of the Optimal Auxiliary Function Method (OAFM). The …

In this work a hybrid scheme is proposed for the numerical study of various evolutionary
partial differential equations (EPDEs). In proposed strategy, temporal derivatives are …