Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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AN EFFICIENT SEMI-ANALYTICAL WAY TO SOLVE TIME-FRACTIONAL CAUDREY-DODD-GIBBON EQUATIONS WITH INITIAL CONDITIONS

  • NIHAD S. KHALAF (Department of Mathematics, College of Education for Pure Science, Tikrit University, Department of Mathematics, College of Computer Science and Mathematics, Tikrit University) ;
  • RAAD A. HAMEED (Department of Mathematics, College of Education for Pure Science, Tikrit University) ;
  • ABDULGHAFOOR J. SALIM (Department of Mathematics, College of Computer Science and Mathematics, Mosul University)
  • Received : 2025.10.03
  • Accepted : 2026.03.30
  • Published : 2026.05.30
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Abstract

This manuscript derives a semi-analytical solution to the nonlinear Time-Fractional Caudrey-Dodd-Gibbon Equation using the New Iterative Method (NIM). The Caudrey-Dodd-Gibbon Equation (CDGE) has been applied in laser optics and plasma physics. We also apply the Caputo derivative to model the nonlinear fractional partial differential equation. We apply the method to solve two numerical examples with initial conditions. We obtain approximate solutions to the nonlinear (TFCDG) equation. This technique is a useful tool for finding approximate solutions to modern physical models in science and physics. In addition, we compare the approximate solution with the solution in [1]. To determine the effectiveness of the method used in this manuscript.

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Acknowledgement

The authors would like to thank the reviewers for their positive comments and remarks that helped in improving this work.

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