Title of article
Airy Equation with Memory Involvement Via Liouville Differential Operator
Author/Authors
Neamaty, A Department of Mathematics - University of Mazandaran - Babolsar, Iran , Nategh, M Department of Mathematics - University of Mazandaran - Babolsar, Iran , Agheli, B Department of Mathematics - Qaemshahr Branch - Islamic Azad University - Qaemshahr, Iran , Baleanu, D Department of Mathematics - Cankaya University - Ankara, Turkey
Pages
7
From page
107
To page
113
Abstract
Abstract In this work, a non-integer order Airy equation involving Liouville differential
operator is considered. Proposing an undetermined integral solution to the left fractional
Airy differential equation, we utilize some basic fractional calculus tools to clarify the closed
form. A similar suggestion to the right FADE, converts it into an equation in the Laplace
domain. An illustration to the approximation and asymptotic behavior of the integral solution
to the left FADE with respect to the existing parameters is presented.
Keywords
Fractional Airy equation , Liouville differential operator , Fractional Calculus
Journal title
Astroparticle Physics
Serial Year
2017
Record number
2438901
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