{"references": ["K.S. Miller, B. Ross, An Introduction to Fractional Calculus and\nFractional Differential Equations, Wiley, New York, 1993.", "A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of\nFrcational Differential Equations, Elsevier, San Diego, 2006.", "P.J. Olver, Applications of Lie Groups to Differential Equations,\nGraduate Texts Math., vol. 107, 1993.", "G.W. Bluman, J.D. Cole, Similarity Methods for Differential Equations,\nSpringer Verlag, 1974.", "L.V. Ovsiannikov, Group Analysis of Differential Equations, Academic\nPress, 1982.", "Q. Huang, R. Zhdanov, Symmetries and Exact Solutions of the Time\nFractional Harry-Dym Equation with Riemann-Liouville Derivative,\nPhysica A, vol. 409, 2014, pp. 110-118.", "K. Al-Khaled, Numerical Solution of Time-fractional PDEs Using\nSumudu Decomposition Method, Romanian Journal of Physics, vol. 60,\n2015, pp. 99-110.", "Y. Zhang, Lie Symmetry Analysis to General Time-Fractional\nKorteweg-De Vries Equation, Fractional Differential Calculus, vol.5,\n2015, pp. 125-135.", "V.D. Djordjevic, T.M. Atanackovic, Similarity Solutions to Nonlinear\nHeat Conduction and Burgers/Korteweg-De Vries Fractional Equations,\nJournal of Computational Applied Mathematics, vol. 222, 2008, pp.\n701-714.\n[10] M. Gaur, K. Singh, On Group Invariant Solutions of Fractional Order\nBurgers-Poisson Equation, Applied Mathematics and Computation, vol.\n244, 2014, pp. 870-877.\n[11] H. Liu, J. Li, Q. Zhang, Lie Symmetry Analysis and Exact Explicit\nSolutions for General Burgers Equations, Journal of Computational\nApplied Mathematics, vol. 228, 2009, pp. 1-9.\n[12] H. Liu, Complete Group Classifications and Symmetry Reductions of\nthe Fractional fifth-order KdV Types of Equations, Studies in Applied\nMathematics, vol. 131, 2013, pp. 317-330.\n[13] A. Bansal, R.K. Gupta, Lie point Symmetries and Similarity Solutions\nof the Time-Dependent Coefficients Calogero-Degasperis Equation,\nPhysica Scripta, vol. 86, 2012, pp. 035005 (11 pages).\n[14] A. Bansal, R.K. Gupta, Modified (G'/G)-Expansion Method for\nFinding Exact Wave Solutions of Klein-Gordon-Schrodinger Equation,\nMathematical Methods in the Applied Sciences, vol. 35, 2012, pp.\n1175-1187.\n[15] R.K. Gupta, A. Bansal, Painleve Analysis, Lie Symmetries and Invariant\nSolutions of potential Kadomstev Petviashvili Equation with Time\nDependent Coefficients, Applied Mathematics and Computation, vol.\n219, 2013, pp. 5290-5302.\n[16] R. Kumar, R.K. Gupta, S.S. Bhatia, Lie Symmetry Analysis and Exact\nSolutions for Variable Coefficients Generalised Kuramoto-Sivashinky\nEquation, Romanian Reports in Physics, vol. 66, 2014, pp. 923-928.\n[17] M. Pandey, Lie Symmetries and Exact Solutions of Shallow Water\nEquations with Variable Bottom, Internation Journal of Nonlinear\nScience and Numerical Simulation, vol. 16, 2015, pp. 337-342.\n[18] V.S. Kiryakova, Generalized Fractional Calculus and Applications, CRC\npress,1993."]}

In this paper, we have investigated the nonlinear time-fractional hyperbolic partial differential equation (PDE) for its symmetries and invariance properties. With the application of this method, we have tried to reduce it to time-fractional ordinary differential equation (ODE) which has been further studied for exact solutions.