This article proposed two novel techniques for solving the fractional-order Boussinesq
equation. Several new approximate analytical solutions of the second-and fourth-order time …

In this paper, we suggest the modified Extended Direct Algebraic Method (mEDAM) to
examine the existence and dynamics of solitary wave solutions in the context of the …

This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional
differential equations of variable order involving finite delays. The existence of solutions is …

We establish a class of nonlinear fractional differential systems with distributed time delays
in the controls and impulse effects. We discuss the controllability criteria for both linear and …

The development of numeric-analytic solutions and the construction of fractional order
mathematical models for practical issues are of the highest concern in a variety of physics …

This paper presents a new approach for finding analytic solutions to the Belousov–
Zhabotinsky system by combining the Adomian decomposition method (ADM) and the …

In this research paper, we study a semi analytical technique to solve the nonlinear partial
differential equations. This technique is good combination of homotopy analysis method with …

In this paper, we propose two efficient methods for solving the fractional-order Schrödinger–
KdV system. The first method is the Laplace residual power series method (LRPSM), which …

This paper introduces a more streamlined and convenient graphical approach to investigate
the stability of fractional-order dynamical systems comprehensively. In particular, we focus …

In this study, we present a modified analytical approximation method to find the time-
fractional Sharma-Tasso-Olever issue solving. In order to tackle nonlinear fractional …