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

Author

Listed:
  • Hammad Khalil
  • Mohammed Al-Smadi
  • Khaled Moaddy
  • Rahmat Ali Khan
  • Ishak Hashim

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.

Suggested Citation

  • Hammad Khalil & Mohammed Al-Smadi & Khaled Moaddy & Rahmat Ali Khan & Ishak Hashim, 2016. "Toward the Approximate Solution for Fractional Order Nonlinear Mixed Derivative and Nonlocal Boundary Value Problems," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnddns:v:2016:y:2016:i:1:n:5601821
    DOI: 10.1155/2016/5601821
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    References listed on IDEAS

    as
    1. Umer Saeed & Mujeeb ur Rehman, 2014. "Wavelet‐Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Umer Saeed & Mujeeb ur Rehman, 2014. "Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
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