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 …

Pantograph equation is a delay differential equation (DDE) arising in electrodynamics. This
paper studies the pantograph equation with two delays. The existence, uniqueness, stability …

In this study, we employ the effective iterative method to address the fractional Wu-Zhang
Equation within the framework of the Caputo Derivative. The effective iterative method offers …

The present study aimed to develop and investigate the local discontinuous Galerkin
method for the numerical solution of the fractional logistic differential equation, occurring in …

An effective solution method of fractional ordinary and partial differential equations is
proposed in the present paper. The standard Adomian Decomposition Method (ADM) is …

The primary purpose of this study is to solve the economic growth acceleration model with
memory effects for the quadratic cost function (Riccati fractional differential equation), using …

The Newell-Whitehead-Segel equation is an important model arising in fluid mechanics.
Various researchers worked on approximate solution of this model by using different …

The current manuscript focuses on solving fractional logistic population models (FLPMs).
The spectral tau method is developed for solving FLPMs with shifted Jacobi polynomials as …

In this work, two families of shifted-Legendre polynomials consist of fractional and non-
fractional basis functions are utilized to obtain approximate solutions of the fractional-order …

The aim of the study is to analyze space-time fractional multidimensional telegraph equation
using a generalized transform method. Fractional derivative are considered in Liouville …