Solving the fractional Jaulent-Miodek system via a modified Laplace decomposition method

ÇINAR M., ÖNDER İ., SEÇER A., Bayram M., Sulaiman T. A., Yusuf A.

WAVES IN RANDOM AND COMPLEX MEDIA, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/17455030.2022.2057613
  • Dergi Adı: WAVES IN RANDOM AND COMPLEX MEDIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Coupled Jaulent-Miodek system, fractional differential equation system, modified Laplace decomposition method, Adomian's decomposition, Adomian's polynomials, EQUATION, CONVERGENCE, WAVELETS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, the time-fractional Jaulent-Miodek system associated with energy-dependent Schrodinger potential is solved by the modified Laplace decomposition method. The Caputo fractional derivative is considered throughout the paper. The attained solutions using the method are analyzed and compared with the solutions of the existing studies in the literature to demonstrate the efficacy and applicability of the technique. The results are summarized in the tables and figures. We use Mathematica for all computations and figures in the paper. The method is competitive, easily computable, and adaptable to solving various nonlinear problems.