Toward the Approximate Solution for Fractional Order Nonlinear Mixed Derivative and Nonlocal Boundary Value Problems

Hammad Khalil, Mohammed Al-Smadi, Khaled Moaddy, Rahmat Ali Khan, Ishak Hashim

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The paper is devoted to the study of operational matrix method for approximating solution for nonlinear coupled system fractional differential equations. The main aim of this paper is to approximate solution for the problem under two different types of boundary conditions, m ^ -point nonlocal boundary conditions and mixed derivative boundary conditions. We develop some new operational matrices. These matrices are used along with some previously derived results to convert the problem under consideration into a system of easily solvable matrix equations. The convergence of the developed scheme is studied analytically and is conformed by solving some test problems.

Original languageEnglish
Article number5601821
JournalDiscrete Dynamics in Nature and Society
Volume2016
DOIs
Publication statusPublished - 2016

Fingerprint

Operational Matrix
Nonlocal Boundary Value Problems
Fractional Order
Boundary value problems
Approximate Solution
Derivatives
Boundary conditions
Derivative
Nonlocal Boundary Conditions
Matrix Method
Fractional Differential Equation
Matrix Equation
Coupled System
Test Problems
Convert
Nonlinear Systems
Differential equations

ASJC Scopus subject areas

  • Modelling and Simulation

Cite this

Toward the Approximate Solution for Fractional Order Nonlinear Mixed Derivative and Nonlocal Boundary Value Problems. / Khalil, Hammad; Al-Smadi, Mohammed; Moaddy, Khaled; Khan, Rahmat Ali; Hashim, Ishak.

In: Discrete Dynamics in Nature and Society, Vol. 2016, 5601821, 2016.

Research output: Contribution to journalArticle

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