In this book, the authors try to answer vital Fractional differential equations questions by analyzing different aspects of fractional Lie symmetries and related conservation law.

Mir Sajjad Hashemi is associate professor at the University of Bonab, Iran. His field of interests include the fractional differential equations, Lie symmetry method, Geometric integration, Approximate and analytical solutions of differential equations and soliton theory.

Dumitru Baleanu is professor at the Institute of Space Sciences, Magurele-Bucharest, Romania and visiting staff member at the Department of Mathematics, Cankaya University, Ankara, Turkey. His field of interests include the fractional dynamics and its applications in science and engineering, fractional differential equations, discrete mathematics, mathematical physics, soliton theory, Lie symmetry, dynamic systems on time scales and the wavelet method and its applications.

1. Lie symmetry analysis of integer order differential equations. 2. Group analysis and exact solutions of fractional partial differential. 3. Analytical lie group approach for solving the fractional integro-differential equations. 4. Nonclassical Lie symmetry analysis to fractional differential equations. 5. Conservation laws of the fractional differential equations.