The main objective of this paper is to introduce and study the numerical solutions of the multi-
space fractal-fractional Kuramoto-Sivashinsky equation (MSFFKS) and the multi-space …

This paper aims to present a novel optimization technique, the residual power series (RPS),
for handling certain classes of fuzzy fractional differential equations of order 1< γ≤ 2 under …

This analysis proposes an analytical-numerical approach for providing solutions of a class of
nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in …

In this paper, a comparative study has been made between different algorithms to find the
numerical solutions of the fractional-order clock chemical model (FOCCM). The spectral …

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 article, we develop a numerical method based on the operational matrices of shifted
Vieta–Lucas polynomials (VLPs) for solving Caputo fractional-order differential equations …

Abstract his article concerns existence of oscillatory solutions of theconformable fractional
equations with damping of the form ((y (α)) γ)(β)(s)+ g (s, xγμ (s))= 0, for alls∈ J0, wherey (α) …

This article analyzes and compares the two algorithms for the numerical solution of fractional
isothermal chemical equations (FICEs) based on mass action kinetics for autocatalytic …

The generalization of Rodrigues' formula for orthogonal matrix polynomials has attracted the
attention of many researchers. This generalization provides new integral and differential …

We extend the operational matrices technique to design a spectral solution of nonlinear
fractional differential equations (FDEs). The derivative is considered in the Caputo sense …