The fractional differential equations involving different types of fractional derivatives are
currently used in many fields of science and engineering. Therefore, the first purpose of this …

This study is to introduce a novel design and implementation of a neuro-swarming
computational numerical procedure for numerical treatment of the fractional Bagley–Torvik …

This work employs two new modified computational schemes to find the exact travelling and
solitary wave solutions of the general modified Degasperis-Procesi Camassa-Holm (DP CH) …

In fluid dynamics, mixed-type systems of conservation laws model a wide range of phase
transition problems in compressible media. This analysis studies analytically the time …

In this article, we develop the natural transform in terms of the M-derivative. We improve the
basic notions for this new interesting version of the fractional transform. We introduce the …

The main purpose of this paper is to present a new computational for approximate analytical
solutions of nonlinear time-fractional wave-like equations with variable coefficients using the …

In this work, we investigate exact solutions of some fractional‐order differential equations
arising in mathematical physics. We consider the space‐time fractional Kaup‐Kupershmidt …

The nonlinear conformable fractional Schrödinger–Hirota (NCFSH) equation, describing the
propagation of optical solitons in a dispersive optical fibre, is considered and its exact …

The aim of the paper is to find the exact solutions to the nonlinear partial differential
equations of fractional-order. The simplest equation procedure is handled for this purpose …

Modeling several physical events leads to the Bagley–Torvik equation (BTE). In this study,
we have taken into account the BTE, including the Caputo–Fabrizio and Atangana–Baleanu …