Browsing by Author "Abbas, Syed"

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    Approximate Controllability of Sub-Diffusion Equation with Impulsive Condition
    (Mathematics, 2019) Mahto, Lakshman; Abbas, Syed; Hafayed, Mokhtar; Srivastava, H.M.
    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.
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    Growth of tumor due to Arsenic and its mitigation by black tea in Swiss albino mice
    (Alexandria Engineering Journal, 2020) Srivastava, H.M.; Dey, Urmimala; Ghosh, Archismaan; Tripathi, Jai Prakash; Abbas, Syed; Taraphder, A.; Roy, Madhumita
    Inorganic arsenic causes carcinogenesis in a large part of the world. Its potential is elicited by the generation of ROS, which leads to damages to DNA, lipid and protein. Black tea, an antioxidant, can mitigate such deleterious effects by quenching ROS. We study Arsenic-toxicity and its amelioration by black tea in a colony of albino mice: a homology exists between the protein coding regions of mice and human. We observe that black tea has salutary effects on tumor-growth: it arrests damaged cell growth and produces early saturation of the damage. The experimental data obtained by us are modelled with dynamical equations. This is followed by a search for steady states and their stability analysis.
 
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