Solving the fractional Jaulent–Miodek system via a modified Laplace decomposition method
Melih Çinar, Ismail Onder, Aydın Seçer, Mustafa Bayram, Tukur Abdulkadir Sulaıman, Abdullahi Yusuf
Abstract
In this paper, the time-fractional Jaulent–Miodek system associated with energy-dependent Schrödinger 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.
Topics & Concepts
Laplace transformApplied mathematicsDecompositionNonlinear systemFractional calculusComputationDecomposition method (queueing theory)MathematicsDerivative (finance)Energy (signal processing)Mathematical optimizationComputer scienceMathematical analysisAlgorithmPhysicsStatisticsFinancial economicsQuantum mechanicsEcologyEconomicsDiscrete mathematicsBiologyFractional Differential Equations SolutionsNonlinear Waves and SolitonsMathematical functions and polynomials