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 …

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 …

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 …

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 …

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 …

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 …

Building fractional mathematical models for specific phenomena and develo** numerical
or analytical solutions for these fractional mathematical models are crucial issues in …

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 …

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 …

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 …