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Chatibi, Youness; El Kinani, El Hassan; Abdelaziz, Ouhadan

Lie symmetry analysis of conformable differential equations. (English) Zbl 1484.34097

AIMS Math. 4, No. 4, 1133-1144 (2019).
Summary: In this paper, we construct a proper extension of the classical prolongation formula of point transformations for conformable derivative. This technique is illustrated and employed to construct a symmetry group admitted by a conformable ordinary and partial differential equations. Using Lie symmetry analysis, we obtain an exact solution of the conformable heat equation.

Cited in 15 Documents

MSC:

34C14 Symmetries, invariants of ordinary differential equations
26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
34A08 Fractional ordinary differential equations
35A30 Geometric theory, characteristics, transformations in context of PDEs
35R11 Fractional partial differential equations

Keywords:

conformable derivative; fractional differential equations; Lie symmetry; conformable heat equation
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References:

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