TITLE:
Natural Transform for Solving Fractional Models
AUTHORS:
Ahmed Safwat Abdel-Rady, Saad Zagloul Rida, Anas Ahmed Mohamed Arafa, Hamdy Ragab Abedl-Rahim
KEYWORDS:
Fractional Calculus, Natural Transform, A Domain Decomposition Natural Transform Method (ADNTM), Fokker-Planck Equation, Schrödinger Equation, Kelin-Gorden Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.12,
December
24,
2015
ABSTRACT: In this paper, we present a novel technique to obtain approximate analytical solution of fractional physical models. The new technique is a combination of a domain decomposition method and natural transform method called a domain decomposition natural transform method (ADNTM). The fractional derivatives are considered in Caputo sense. To illustrate the power and reliability of the method some applications are provided.