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math.AP2014★ 54 cited
A foundational approach to the Lie theory for fractional order partial differential equations
Rosario Antonio Leo, Gabriele Sicuro, Piergiulio Tempesta
We provide a general theoretical framework allowing us to extend the classical Lie theory for partial differential equations to the case of equations of fractional order. We propos…
math-ph2014★ 22 cited
A Theorem on the Existence of Symmetries of Fractional PDEs
Rosario Antonio Leo, Gabriele Sicuro, Piergiulio Tempesta
We propose a theorem that extends the classical Lie approach to the case of fractional partial differential equations (fPDEs) of the Riemann--Liouville type in (1+1) dimensions.