Lie symmetry analysis of fractional ordinary differential equation with neutral delay
Yuqiang Feng, Jicheng Yu
Abstract
<abstract> In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the fractional ordinary differential equation with neutral delay are obtained, and the group classification of the equation is established. The obtained Lie symmetries are used to construct the exact solutions of the fractional ordinary differential equation with neutral delay. </abstract>
Topics & Concepts
Ordinary differential equationMathematicsHomogeneous spaceSymmetry (geometry)Exact differential equationLie groupDifferential equationUniversal differential equationSeparable partial differential equationMathematical analysisFirst-order partial differential equationSpacetime symmetriesMathematical physicsPure mathematicsPhysicsDifferential algebraic equationQuantum mechanicsQuantumGeometryQuantum field theory in curved spacetimeQuantum gravityFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Differential Equations Analysis