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Analytical solution of time-fractional Schr<i>ö</i>dinger equations via Shehu Adomian Decomposition Method

Mamta Kapoor, Nehad Ali Shah, Wajaree Weera

2022AIMS Mathematics10 citationsDOIOpen Access PDF

Abstract

<abstract> <p>Present research deals with the time-fractional Schr<italic>ö</italic>dinger equations aiming for the analytical solution via Shehu Transform based Adomian Decomposition Method [STADM]. Three types of time-fractional Schr<italic>ö</italic>dinger equations are tackled in the present research. Shehu transform ADM is incorporated to solve the time-fractional PDE along with the fractional derivative in the Caputo sense. The developed technique is easy to implement for fetching an analytical solution. No discretization or numerical program development is demanded. The present scheme will surely help to find the analytical solution to some complex-natured fractional PDEs as well as integro-differential equations. Convergence of the proposed method is also mentioned.</p> </abstract>

Topics & Concepts

DiscretizationFractional calculusMathematicsConvergence (economics)Adomian decomposition methodDecomposition method (queueing theory)Applied mathematicsDifferential equationMathematical analysisDiscrete mathematicsEconomic growthEconomicsFractional Differential Equations SolutionsQuantum Mechanics and Non-Hermitian PhysicsNonlinear Waves and Solitons
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