Approximate Controllability of Sub-Diffusion Equation with Impulsive Condition
Date
2019
Authors
Mahto, Lakshman
Abbas, Syed
Hafayed, Mokhtar
Srivastava, H.M.
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
In 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.
Description
Keywords
fractional diffusion equation, controllability, impulsive system, unique continuation property
Citation
Mahto, 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/math7020190