In recent years, there has been a growing interest among researchers in the study of shallow water waves, driven by their wide applicability across various scientific disciplines. Within …
Despite the fact the Laplace transform has an appreciable efficiency in solving many equations, it cannot be employed to nonlinear equations of any type. This paper presents a …
A novel analytical solution to the neutron diffusion equation is proposed in this study using the residual power series approach for both spherical and hemispherical fissile material …
In this work, we present a new type of fractional derivatives (FD) involving exponential cotangent function in their kernels called Riemann–Liouville D σ, γ and Caputo cotangent …
A Shafee, Y Alkhezi, R Shah - Fractal and Fractional, 2023 - mdpi.com
In this paper, we present an efficient solution method for solving fractional system partial differential equations (FSPDEs) using the Laplace residual power series (LRPS) method …
The Laplace residual power series method was introduced as an effective technique for finding exact and approximate series solutions to various kinds of differential equations. In …
MI Liaqat, E Okyere - Journal of Mathematics, 2023 - Wiley Online Library
The residual power series method is effective for obtaining solutions to fractional‐order differential equations. However, the procedure needs the (n− 1) ϖ derivative of the residual …
In this paper, we compile the fractional power series method and the Laplace transform to design a new algorithm for solving the fractional Volterra integro-differential equation. For …