56 citations · 111 across the 3 of their papers we have counts for
3 papers
physics.gen-ph2016★ 55 cited
Definition of the Riesz Derivative and its Application to Space Fractional Quantum Mechanics
Selçuk Ş. Bayin
We investigate and compare different representations of the Riesz derivative, which plays an important role in anomalous diffusion and space fractional quantum mechanics. In partic…
physics.gen-ph2014
Incompressible Stars and Fractional Derivatives
S. S. Bayin, J. P. Krisch
Fractional calculus is an effective tool in incorporating the effects of non-locality and memory into physical models. In this regard, successful applications exist rang- ing from…
math-ph2011★ 56 cited
Time Fractional Schrödinger Equation; Fox's H-functions and the Effective Potential
Selcuk S. Bayin
After introducing the formalism of the general space and time fractional Schrödinger equation, we concentrate on the time fractional Schrödinger equation and present new results vi…