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 …

In real-life applications, nonlinear differential equations play an essential role in
representing many phenomena. One well-known nonlinear differential equation that helps …

This article circumvents the Laplace transform to provide an analytical solution in a power
series form for singular, non-singular, linear, and non-linear ordinary differential equations. It …

The presented paper aims to investigate, examine, and analyze the nonlinear time-fractional
evolution partial differential equations (TFNE-PDEs) in the sense of Caputo essential in …

This paper aims to explore and examine a fractional differential equation in the fuzzy
conformable derivative sense. To achieve this goal, a novel analytical algorithm is …

This research offers a precise analytical solution for initial value problems of both linear and
nonlinear fractional order partial differential equations. A new approach called the limit …

The time-fractional Korteweg de Vries equation can be viewed as a generalization of the
classical KdV equation. The KdV equations can be applied in modeling tsunami …

The primary objective of this study is to develop an analytic solution for mixed
integrodifferential equations of fractional order, which are commonly applied in the …

In this article, we present the time-fractional Swift-Hohenberg equation (FSFE) with
uncertainty where the fractional deriative is chossen in caputo sense. We have solved the …

Introduction Fractional diffusion equations offer an effective means of describing transport
phenomena exhibiting abnormal diffusion pat-terns, often eluding traditional diffusion …