On the application of $ G_\alpha $ integral transform to nonlinear dynamical models with non-integer order derivatives
Rahmatullah Ibrahim Nuruddeen, Yasir Akbar, Hwajoon Kim
Abstract
<abstract><p>The current study uses an essential and integrated form of Laplace-type integral transform coupled with the Adomian's approach to study nonlinear evolution equations endowed with non-integer derivatives. More so, of particular interest here is to demonstrate the application of this transform to a wider class of nonlinear problems. Three test models have been examined by the presented method, and their closed-form solutions have been reported iteratively. Lastly, the variational effect of the non-integer order derivatives on the evolution of these models has been studied via the two and three-dimensional depictions.</p></abstract>
Topics & Concepts
Laplace transformInteger (computer science)Nonlinear systemMathematicsOrder (exchange)Applied mathematicsType (biology)Integral transformClass (philosophy)Alpha (finance)Mathematical analysisComputer sciencePhysicsArtificial intelligenceEcologyConstruct validityEconomicsBiologyFinanceProgramming languagePsychometricsStatisticsQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsAdvanced Differential Equations and Dynamical Systems