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Part 5: Differential Equations.- Numerical Solution to Singularly Perturbed Differential Equation of Reaction-Diffusion Type in MAGDM Problems.- Application of Integro-Differential Equations using Sumudu Transform in Intuitionistic Trapezoidal Fuzzy MAGDM Problems.- Existence of Meromorphic Solution of Riccati-Abel Differential Equation.- Expansion of Function with Uncertain Parameters in Higher Dimension.- Analytical Solutions of the Bloch Equation via Fractional Operators with Non-Singular Kernels.- Solution of the Lorenz Model with Help from the corresponding Ginzburg-Landau Model.- Estimation of Upper Bounds for Initial Coefficients and Fekete-Szegö Inequality for a Subclass of Analytic Bi-Univalent Functions.- An Adaptive Mesh Selection Strategy for Solving Singularly Perturbed Parabolic Partial Differential Equations with a Small Delay.- Part 6: Fluid Dynamics.- Steady Finite-Amplitude Rayleigh-Bénard-Taylor Convection of Newtonian Nanoliquid in a High-Porosity Medium.- MHD ThreeDimensional Darcy-Forchheimer Flow of a Nanofluid with Nonlinear Thermal Radiation.- Effect of Electromagnetohydrodynamic on Chemically Reacting Nanofluid Flow over a Cone and Plate.- Effect of Non-Linear Radiation on 3D Unsteady MHD Nanoliquid Flow over a Stretching Surface with Double Stratification.- Chemical Reaction and Non-Uniform Heat Source/Sink Effects on Casson Fluid Flow over a Vertical Cone and Flat Plate Saturated with Porous Medium.- An Analytic Solution of the Unsteady Flow Between Two Coaxial Rotating Disks.- Cross Diffusion Effects on MHD Convection of Casson-Williamson Fluid Over a Stretching Surface with Radiation and Chemical Reaction.- Study of Steady, Two-Dimensional, Unicellular Convection in a Water-Copper Nanoliquid-Saturated Porous Enclosure using Single-Phase Model.- Homo-Heterogeneous Chemical Reactions Effects on Williamson MHD Stagnation Point Slip Flow: A Numerical Study.- The Influence of Wall Properties on the Peristaltic Pumping of a Casson Fluid.- Peristaltic Flow of a Jeffrey Fluid in Contact with a Newtonian Fluid in a Vertical Channel.- MHD and Cross Diffusion Effects on Peristaltic Flow of a Casson Nanofluid in a Duct.- Axisymmetric Vibration in a Submerged Piezoelectric Rod Coated with Thin Film.- Numerical Exploration of 3D Steady State Flow under the Effect of Thermal Radiation as well as Heat Generation/Absorption over a Non-Linearly Stretching Sheet.- Radiated Slip Flow of Williamson Unsteady MHD Fluid over a Chemically Reacting Sheet with Variable Conductivity and Heat Source or Sink.- Approximate Analytical Solution of HIV/AIDS Dynamic Model during Primary Infection.- Stratification and Cross Diffusion Effects on Magneto-Convection Stagnation-Point Flow in a Porous Medium with Chemical Reaction, Radiation, and Slip Effects.- Natural Convection of Newtonian Liquids and Nanoliquids Confined in Low-Porosity Enclosures.- Study of Viscous Fluid Flow Past an Impervious Cylinder in Porous Region with Magnetic Field.- NumericalSolution of Steady Powell-Eyring Fluid over a Stretching Cylinder with Binary Chemical Reaction and Arrhenius Activation Energy.- Effects of Homogeneous-Heterogeneous Reactions in MHD Stagnation Point Nanofluid Flow towards a Cylinder with Non-Uniform Heat Source or Sink.- Effects of Thermal Radiation on Peristaltic Flow of Nanofluid in a Channel with Joule Heating and Hall Current.- Chemically Reactive 3D Nonlinear Magneto Hyrdodynamic Rotating Flow of Nanofluids over a Deformable Surface with Joule Heating through Porous Medium.- MHD Carreau Fluid Flow Past a Melting Surface with Cattaneo-Christov Heat Flux.- Effect of Porous Uneven Sea-Bed on a Water Wave Diffraction Problem.- Nonlinear Wave Propagation through a Radiating Van der Waals Fluid with Variable Density.- Effect of Slip and Convective Heating on Unsteady MHD Chemically Reacting Flow over a Porous Surface with Suction.- Solution of Wave Equations and Heat Equations using HPM.- Non-Linear Radiative Unsteady Flow of a Non-Newtonian Fluid Past a Stretching Surface.- Heat Transfer Analysis in a Micropolar Fluid with Non-Linear Thermal Radiation and Second Order Velocity Slip.- Analytical Study on Heat Transfer Behaviour of an Orthotropic Pin Fin with Contact Resistance.- Numerical Investigation of Developing Laminar Convection in Vertical Double-Passage Annuli.- Heat and Mass Transfer on MHD Rotating Flow of Second Grade Fluid Past an Infinite Vertical Plate Embedded in Uniform Porous Medium with Hall Effects.- High Power LED Luminous Flux Estimation using Mathematical Model incorporated with the Effects of Heatsink and Fins.- Soret and Dufour Effects on Hydromagnetic Marangoni Convection Boundary Layer Nanofluid Flow Past a Flat Plate.- Part 7: Graph Theory.- An Algorithm for the Inverse Distance-2 Dominating Set of a Graph.- γ-Chromatic Partition in Planar Graph Characterization.- Coding through a Two Star and Super Mean Labeling.- Computing Status Connectivity Indices and its Coindices of Composite Graphs.- Laplacian Energy of Operations on Intuitionistic Fuzzy Graphs.- Wiener Index of Hypertree.- Location-2-Domination for Product of Graphs.- Local Distance Pattern Distinguishing Sets in Graphs.- Construction of Minimum Power 3-Connected Subgraph with k Backbone Nodes in Wireless Sensor Networks.- Fuzzy Interference System through Triangular and Hendecagonal Fuzzy Number.- Computation of Narayana Prime Cordial Labeling of Book Graphs.- Quotient-3 Cordial Labeling for Path Related Graphs-Part-II.- Relation between k-DRD and Dominating Set.- The b-Chromatic Number of Some Standard Graphs.- Encode-then-Encrypt: A Novel Framework for Reliable and Secure Communication.- New Bounds of Induced Acyclic Graphoidal Decomposition Number of a Graph.- Dominating Laplacian Energy in Products of Intuitionistic Fuzzy Graphs.- Power Domination Parameters in Honeycomb-Like Networks.- Improved Bound for Dilation of an Embedding onto Circulant Networks.<p></p><p></p><br>

<div><div>This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences (ICAMS), held at the Vellore Institute of Technology in December 2017.&nbsp; This meeting brought together researchers from around the world to share their work, with the aim of promoting collaboration as a means of solving various problems in modern science and engineering.&nbsp; The authors of each chapter present a research problem, techniques suitable for solving it, and a discussion of the results obtained.&nbsp; &nbsp;These volumes will be of interest to both theoretical- and application-oriented individuals in academia and industry.</div><div><br></div><div>Papers in&nbsp;<i>Volume I</i>&nbsp;are dedicated to active and open areas of research in algebra, analysis, operations research, and statistics, and those of&nbsp;<i>Volume II</i>&nbsp;consider differential equations, fluid mechanics, and graph theory.&nbsp;&nbsp;</div></div>