Mahto, LakshmanAbbas, SyedHafayed, MokhtarSrivastava, H.M.2019-03-022019-03-0220192019Mahto, L., Abbas, S., Hafayed, M. & Srivastava, H.M. (2019). Approximate Controllability of Sub-Diffusion Equation with Impulsive Condition. Mathematics, 7(2), 190. https://doi.org/10.3390/math7020190https://doi.org/10.3390/math7020190http://hdl.handle.net/1828/10623In this work, we study an impulsive sub-diffusion equation as a fractional diffusion equation of order α∈(0,1) . Existence, uniqueness and regularity of solution of the problem is established via eigenfunction expansion. Moreover, we establish the approximate controllability of the problem by applying a unique continuation property via internal control which acts on a sub-domain.enfractional diffusion equationcontrollabilityimpulsive systemunique continuation propertyArticle