A New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems

Diyar Hashim Malo (University of Duhok, Duhok, Iraq)
Rogash Younis Masiha (Van Yüzüncü Yıl Üniversitesi, Van, Turkey)
Muhammad Amin Sadiq Murad (University of Duhok, Duhok, Iraq)
Sadeq Taha Abdulazeez (University of Duhok, Duhok, Iraq)

Jurnal Matematika: MANTIK
Vol. 7 No. 1 (2021): Mathematics and Applied Mathematics

In this article, the Elzaki homotopy perturbation method is applied to solve fractional stiff systems. The Elzaki homotopy perturbation method (EHPM) is a combination of a modified Laplace integral transform called the Elzaki transform and the homotopy perturbation method. The proposed method is applied for some examples of linear and nonlinear fractional stiff systems. The results obtained by the current method were compared with the results obtained by the kernel Hilbert space KHSM method. The obtained result reveals that the Elzaki homotopy perturbation method is an effective and accurate technique to solve the systems of differential equations of fractional order.