Approximate Controllability of Sub-Diffusion Equation with Impulsive Condition

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dc.contributor.authorMahto, Lakshman
dc.contributor.authorAbbas, Syed
dc.contributor.authorHafayed, Mokhtar
dc.contributor.authorSrivastava, H.M.en
dc.date.accessioned2019-03-02T16:16:28Z
dc.date.available2019-03-02T16:16:28Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractIn 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.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationMahto, 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/math7020190en_US
dc.identifier.urihttps://doi.org/10.3390/math7020190
dc.identifier.urihttp://hdl.handle.net/1828/10623
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectfractional diffusion equationen_US
dc.subjectcontrollabilityen_US
dc.subjectimpulsive systemen_US
dc.subjectunique continuation propertyen_US
dc.titleApproximate Controllability of Sub-Diffusion Equation with Impulsive Conditionen_US
dc.typeArticleen_US

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