Abstract Systems of fractional order differential and pseudo-differential equations are used
in modeling of various dynamical processes. In the analysis of such models, including …

Fractional calculus has become a potent tool for simulating the complexity of interactions in
tumor-immune system dynamics. This paper investigates the existence and uniqueness of …

In this study, we use a dual technique that combines the Laplace residual power series
method (LRPSM) and the new iteration method, both of which are combined with the Caputo …

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 …

In this study, I systematically investigate the fractional Whitham-Broer-Kaup (WBK) system
and the fractional Coupled Jaulent-Miodek (CJM) equation under the Caputo fractional …

The literature revealed that the Fractional Power Series Method (FPSM), which uses the
Mittag-Leffler function in one parameter, has been gainfully applied in obtaining the …

In this paper, I utilize the Laplace residual power series method (LRPSM) along with a novel
iteration technique to investigate the Fitzhugh-Nagumo equation within the framework of the …

In this research, we employ a dual-approach that combines the Laplace residual power
series method and the novel iteration method in conjunction with the Caputo operator. Our …

The optimal auxiliary function method (OAFM) is introduced and used in the analysis of a
nonlinear system containing coupled Schrödinger–KdV equations, all within the framework …

This paper considers the use of the Laplace residual power series method to solve linear
Volterra integrodifferential equations. It demonstrates how well the approach holds up to …