Semi-Analytic Technique for Solving Fractional Partial Differential Equations with Conformable Derivatives

  • Noor I. Ibrahim Department of Mathematics, College of Science, Al-Nahrain University, Baghdad, Iraq
  • Osama H. mohammed Department of Mathematics, College of Science, Al-Nahrain University, Baghdad, Iraq
Keywords: Conformable fractional derivative, Semi-analytic technique, Fractional order partial differential equations, Fractional damped Burger equation

Abstract

In this work, we present a semi-analytical technique to find an approximate result of the conformable fractional partial differential equations (CFPDEs). The fractional order derivative will be in the conformable (CFD) sense. This definition is effective and simple in the solution of the fractional differential equations that have intricate solution with classical fractional derivative definition like Riemann-Liouville and Caputo. Furthermore, the result obtained by the proposed technique is like those in previous studies that used other types of approximate methods like (Homotopy analysis method) but it has the advantage of being simpler than the rest of these methods. In addition, results demonstrate obtained the Precision and effectiveness of the suggested technique.

Published
2021-03-13
How to Cite
I. Ibrahim, N., & H. mohammed, O. (2021). Semi-Analytic Technique for Solving Fractional Partial Differential Equations with Conformable Derivatives. Al-Nahrain Journal of Science, 24(1), 39-44. Retrieved from https://anjs.edu.iq/index.php/anjs/article/view/2342
Section
Articles