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Solution of Space‐Time‐Fractional Problem by Shehu Variational Iteration Method

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  • Suleyman Cetinkaya
  • Ali Demir
  • Hulya Kodal Sevindir

Abstract

In this study, we deal with the problem of constructing semianalytical solution of mathematical problems including space‐time‐fractional linear and nonlinear differential equations. The method, called Shehu Variational Iteration Method (SVIM), applied in this study is a combination of Shehu transform (ST) and variational iteration method (VIM). First, ST is utilized to reduce the time‐fractional differential equation with fractional derivative in Liouville‐Caputo sense into an integer‐order differential equation. Later, VIM is implemented to construct the solution of reduced differential equation. The convergence analysis of this method and illustrated examples confirm that the proposed method is one of best procedures to tackle space‐time‐fractional differential equations.

Suggested Citation

  • Suleyman Cetinkaya & Ali Demir & Hulya Kodal Sevindir, 2021. "Solution of Space‐Time‐Fractional Problem by Shehu Variational Iteration Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:5528928
    DOI: 10.1155/2021/5528928
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