EXISTENCE AND UNIQUENESS OF SOLUTION OF DIFFERENTIAL EQUATION OF FRACTIONAL ORDER VIA S-ITERATION

In this paper, we study the existence, uniqueness and other properties of solutions of differential equation of fractional order involving the Caputo fractional derivative. The tool employed in the analysis is based on application of S− iteration method. The study of qualitative properties in general required differential and integral inequalities, and here S−iteration method itself has equally important contribution to study various properties such as dependence on initial data, closeness of solutions and dependence on parameters and functions involved therein. Finally, we present an example in support of all proved results

Promising field electron emission performance of vertically aligned one dimensional (1D) brookite (β) TiO₂ nanorods

We evidence field-electron emission (FE) studies on the large-area array of one-dimensional (1D) brookite (β) TiO2 nanorods. The pure 1D β-TiO2 nanorods of 10 nm width and 760 nm long were synthesized on Si substrate utilizing hot-filament metal vapor deposition technique. X-ray diffraction (XRD) and transmission electron microscopy (TEM) analysis evidenced the β-TiO2 nanorods to be composed of orthorhombic crystals in brookite (β) phase. X-ray photoemission spectroscopy (XPS) revealed the formation of pure stoichiometric (i.e. 1 : 1.98) 1D TiO2 nanorods. The values of turn-on field, required to draw current density of 10 μA cm−2, was observed 3.9 V μm−1 for pristine 1D β-TiO2 nanorods emitters, which were found significantly lower than doped/undoped 1D TiO2 nanostructures (i.e. nanotubes, nanowires, nanorods) based field emitters. The enhanced FE behavior of the TiO2/Si emitter can be attributed to modulation of electronic properties due to the high aspect ratio of vertically aligned TiO2 nanorods. Furthermore, the orthodox emission situation of pristine TiO2/Si emitters exhibit good emission stability and reveal their potentials as promising FE material.publishe

Nano-Heteroarchitectures of Two-Dimensional MoS₂@ One-Dimensional Brookite TiO₂ Nanorods: Prominent Electron Emitters for Displays

We report comparative field electron emission (FE) studies on a large-area array of two-dimensional MoS₂-coated @ one-dimensional (1D) brookite (β) TiO₂ nanorods synthesized on Si substrate utilizing hot-filament metal vapor deposition technique and pulsed laser deposition method, independently. The 10 nm wide and 760 nm long 1D β-TiO₂ nanorods were coated with MoS₂ layers of thickness ∼4 (±2), 20 (±3), and 40 (±3) nm. The turn-on field (<i>E</i>_on) of 2.5 V/μm required to a draw current density of 10 μA/cm² observed for MoS₂-coated 1D β-TiO₂ nanorods emitters is significantly lower than that of doped/undoped 1D TiO₂ nanostructures, pristine MoS₂ sheets, MoS₂@SnO₂, and TiO₂@MoS₂ heterostructure-based field emitters. The orthodoxy test confirms the viability of the field emission measurements, specifically field enhancement factor (β_FE) of the MoS₂@TiO₂/Si emitters. The enhanced FE behavior of the MoS₂@TiO₂/Si emitter can be attributed to the modulation of the electronic properties due to heterostructure and interface effects, in addition to the high aspect ratio of the vertically aligned TiO₂ nanorods. Furthermore, these MoS₂@TiO₂/Si emitters exhibit better emission stability. The results obtained herein suggest that the heteroarchitecture of MoS₂@β-TiO₂ nanorods holds the potential for their applications in FE-based nanoelectronic devices such as displays and electron sources. Moreover, the strategy employed here to enhance the FE behavior via rational design of heteroarchitecture structure can be further extended to improve other functionalities of various nanomaterials

Abstracts of National Conference on Research and Developments in Material Processing, Modelling and Characterization 2020

This book presents the abstracts of the papers presented to the Online National Conference on Research and Developments in Material Processing, Modelling and Characterization 2020 (RDMPMC-2020) held on 26th and 27th August 2020 organized by the Department of Metallurgical and Materials Science in Association with the Department of Production and Industrial Engineering, National Institute of Technology Jamshedpur, Jharkhand, India. Conference Title: National Conference on Research and Developments in Material Processing, Modelling and Characterization 2020Conference Acronym: RDMPMC-2020Conference Date: 26–27 August 2020Conference Location: Online (Virtual Mode)Conference Organizer: Department of Metallurgical and Materials Engineering, National Institute of Technology JamshedpurCo-organizer: Department of Production and Industrial Engineering, National Institute of Technology Jamshedpur, Jharkhand, IndiaConference Sponsor: TEQIP-