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
Link To Document :
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