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In this article, we discussed the Lie symmetry analysis of  C 1 m , a , b fractional and integer order differential equations. The symmetry algebra of both differential equations is obtained and utilized to find the similarity reductions, invariant solutions, and conservation laws. In both cases, the symmetry algebra is of low dimensions.

advances in mathematical physics

Lie Symmetry Analysis of <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mfenced open="(" close=")"> <mrow> <mi>m</mi> <mo>,</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> </mrow> </mfenced> </math> Partial Differential Equations

Lie Symmetry Analysis of C 1 m , a , b Partial Differential Equations

Lie Symmetry Analysis of $C_{1} (m, a, b)$ Partial Differential Equations