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Research Article Open access CC BY 3.0

Solution to Fractional Schrödinger and Airy Differential Equations via Integral Transforms

A. Aghili, H. Zeinali

Journal of Advances in Mathematics and Computer Science · pp. 2630–2664 · Published 8 Jul 2014

10.9734/BJMCS/2014/11064

Abstract

Due to the need and the necessity to express a physical phenomenon in terms of an effective and comprehensive analytical form, this paper is devoted to study of Airy functions, which arise from the Airy differential equations, by means of integral transforms. Illustrative examples are also provided. The result reveals that the integral transforms are very useful tools to solve differential equations.

Laplace transform Fourier transform L2 – transform airy functions fractional airy differential equations Schrödinger equation.

Cited by 4

Random fractional generalized Airy differential equations: A probabilistic analysis using mean square calculus

C. Burgos, J.-C. Cortés, A. Debbouche · Applied Mathematics and Computation · 2019

New trends in Laplace type integral transforms with applications

Arman Aghili · Boletim da Sociedade Paranaense de Matemática · 2017

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