An accurate method for solving a singular second-order fractional Emden-Fowler problem

Muhammed I. Syam, Hm Jaradat, Marwan Alquran, Safwan Al-Shara’

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

In this paper, we study a singular second-order fractional Emden-Fowler problem. The reproducing kernel Hilbert space method (RKHSM) is employed to compute an approximation to the proposed problem. The construction of the reproducing kernel based on orthonormal shifted Legendre polynomials is presented. The validity of the RKHSM is ascertained by presenting several examples. We prove the existence of solution of the singular second-order fractional Emden-Fowler problem. The convergence of the approximate solution using the proposed method is investigated. The uniform convergence of the approximate solution to the exact solution is presented. Error estimation to the proposed method is proven. The results reveal that the proposed analytical method can achieve excellent results in predicting the solutions of such problems.

Original languageEnglish
Article number30
JournalAdvances in Difference Equations
Volume2018
Issue number1
DOIs
Publication statusPublished - Dec 1 2018

Keywords

  • nonlinear initial value problem
  • reproducing kernel Hilbert space method
  • singular second-order fractional Emden-Fowler problem

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'An accurate method for solving a singular second-order fractional Emden-Fowler problem'. Together they form a unique fingerprint.

Cite this