In this article, a new general form of fractional power series is introduced in the sense of the
Caputo fractional derivative. Using this approach some results of the classical power series …

Application of fractional differential equation in economic growth model: A systematic review
approach Page 1 AIMS Mathematics, 6(9): 10266–10280. DOI: 10.3934/math.2021594 …

Fractional Operators with Constant and Variable Order with Application to Geo-hydrology
provides a physical review of fractional operators, fractional variable order operators, and …

In this work, a theoretical study of diffusion of neumatic liquid crystals was done using the
concept of fractional order derivative. This version of fractional derivative is very easy to …

This study attempts to investigate the dynamic study of the three-component coupled NLS-
type equations. The unified Riccati equation expansion method and the generalized …

In this paper, we study the Adomian decomposition method (ADM for short) including its
iterative scheme and convergence analysis, which is a simple and effective technique in …

The flow through porous media can be better described by fractional models than the
classical ones since they include inherently memory effects caused by obstacles in the …

The fractional coupled Konno-Onno model, which is frequently used in numerous fields of
scientific and engineering disciplines, is being investigated in the current study in order to …

A novel modification of the variational iteration method (VIM) is proposed by means of the
Laplace transform. Then the method is successfully extended to fractional differential …

Fractional calculus is at this time an area where many models are still being developed,
explored, and used in real-world applications in many branches of science and engineering …