A general form of the generalized Taylor's formula with some applications
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 …
Caputo fractional derivative. Using this approach some results of the classical power series …
Application of residual power series method for the solution of time-fractional Schrödinger equations in one-dimensional space
O Abu Arqub - Fundamenta Informaticae, 2019 - content.iospress.com
The object of this article is to present the computational solution of the time-fractional
Schrödinger equation subject to given constraint condition based on the generalized Taylor …
Schrödinger equation subject to given constraint condition based on the generalized Taylor …
Approximate analytical solution of the nonlinear fractional KdV–Burgers equation: a new iterative algorithm
In this paper, explicit and approximate solutions of the nonlinear fractional KdV–Burgers
equation with time–space-fractional derivatives are presented and discussed. The solutions …
equation with time–space-fractional derivatives are presented and discussed. The solutions …
Forecasting the behavior of fractional order Bloch equations appearing in NMR flow via a hybrid computational technique
In this paper, we present an efficient computational approach named as Sumudu residual
power series method (SRPSM) to solve fractional Bloch equations appearing in an NMR …
power series method (SRPSM) to solve fractional Bloch equations appearing in an NMR …
Neuro-swarm intelligent computing to solve the second-order singular functional differential model
The aim of the present study is to solve the singular second-order functional differential
model with the development of neuro-swarm intelligent computing solver ANN–PSO–SQP …
model with the development of neuro-swarm intelligent computing solver ANN–PSO–SQP …
New results on fractional power series: theories and applications
In this paper, some theorems of the classical power series are generalized for the fractional
power series. Some of these theorems are constructed by using Caputo fractional …
power series. Some of these theorems are constructed by using Caputo fractional …
[HTML][HTML] Reliable solutions to fractional Lane-Emden equations via Laplace transform and residual error function
In this paper, a reliable analytical solution for a class of the fractional Lane-Emden equations
is prepared. A new technique, the Laplace-residual power series, is employed to construct a …
is prepared. A new technique, the Laplace-residual power series, is employed to construct a …
A fractional order approach to modeling and simulations of the novel COVID-19
The novel coronavirus (SARS-CoV-2), or COVID-19, has emerged and spread at fast speed
globally; the disease has become an unprecedented threat to public health worldwide. It is …
globally; the disease has become an unprecedented threat to public health worldwide. It is …
Optimization solution of Troesch's and Bratu's problems of ordinary type using novel continuous genetic algorithm
Z Abo-Hammour, O Abu Arqub… - Discrete Dynamics in …, 2014 - Wiley Online Library
A new kind of optimization technique, namely, continuous genetic algorithm, is presented in
this paper for numerically approximating the solutions of Troesch's and Bratu's problems …
this paper for numerically approximating the solutions of Troesch's and Bratu's problems …
Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential
In this paper, we present analytical-approximate solution to the time-fractional nonlinear
coupled Jaulent–Miodek system of equations which comes with an energy-dependent …
coupled Jaulent–Miodek system of equations which comes with an energy-dependent …