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The cable equation is one the most fundamental equations for modeling neuronal dynamics.The Nernst-Planck equation of electrodiffusion for the movement of ions in neurons has also been shown to be equivalent to the cable equation under simplifying assumptions [1].Some authors have elucidated that if the ions are undergoing anomalous subdiffusion then the comparison with models that assume standard or normal diffusion will likely lead to incorrect or misleading diffusion coefficient values [2] and models that incorporate anomalous diffusion should be used.Langlands et al.[3] derived a fractional variant of the Nernst-Planck equation to model the anomalous subdiffusion of the ions.Cable equations with fractional order temporal operators have been introduced to model electrotonic properties of spiny neuronal dendrites.Some researchers have found that it is a more difficult task to solve the anomalous subdiffusion equation, which involves an integro-differential equation [4].