Mathematical Modelling, Applied Analysis and Computation - ICMMAAC 2018, Jaipur, India, July 6-8

Description

This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July 2018. Organized into 20 chapters, the book focuses on theoretical and applied aspects of various types of mathematical modelling such as equations of various types, fuzzy mathematical models, automata, Petri nets and bond graphs for systems of dynamic nature and the usage of numerical techniques in handling modern problems of science, engineering and finance. It covers the applications of mathematical modelling in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science and finance. A wide variety of dynamical systems like deterministic, stochastic, continuous, discrete or hybrid, with respect to time, are discussed in the book. It provides the mathematical modelling of various problems arising in science and engineering, and also new efficient numerical approaches for solving linear and nonlinear problems and rigorous mathematical theories, which can be used to analyze a different kind of mathematical models. The conference was aimed at fostering cooperation among students and researchers in areas of applied analysis, engineering and computation with the deliberations to inculcate new research ideas in their relevant fields. This volume will provide a comprehensive introduction to recent theories and applications of mathematical modelling and numerical simulation, which will be a valuable resource for graduate students and researchers of mathematical modelling and industrial mathematics. Front Matter ....Pages i-xvii Certain Banach-Space Operators Acting on the Semicircular Elements Induced by Orthogonal Projections (Ilwoo Cho)....Pages 1-39 Explicit Expressions Related to Degenerate Cauchy Numbers and Their Generating Function (Feng Qi, Ai-Qi Liu, Dongkyu Lim)....Pages 41-52 Statistical Deferred Riesz Summability Mean and Associated Approximation Theorems for Trigonometric Functions (M. Patro, S. K. Paikray, B. B. Jena, Hemen Dutta)....Pages 53-67 On Pointwise Convergence of a Family of Nonlinear Integral Operators (Gumrah Uysal, Hemen Dutta)....Pages 69-83 Existence and Ulam’s Type Stability of Integro Differential Equation with Non-instantaneous Impulses and Periodic Boundary Condition on Time Scales (Vipin Kumar, Muslim Malik)....Pages 85-102 Introduction to Class of Uniformly Fractional Differentiable Functions (Krunal B. Kachhia, Jyotindra C. Prajapati)....Pages 103-111 Asymptotically Almost Automorphic Solution for Neutral Functional Integro Evolution Equations on Time Scales (Soniya Dhama, Syed Abbas)....Pages 113-127 An Integral Relation Associated with a General Class of Polynomials and the Aleph Function (Monika Jain, Sapna Tyagi)....Pages 129-136 On the New Fractional Operator and Application to Nonlinear Bloch System (J. F. Gómez-Aguilar, Behzad Ghanbari, Ebenezer Bonyah)....Pages 137-154 Fractional Order Integration and Certain Integrals of Generalized Multiindex Bessel Function (K. S. Nisar, S. D. Purohit, D. L. Suthar, Jagdev Singh)....Pages 155-167 Fractional Variational Iteration Method for Time Fractional Fourth-Order Diffusion-Wave Equation (Amit Prakash, Manoj Kumar)....Pages 169-178 Analytical Approach to Fractional Navier–Stokes Equations by Iterative Laplace Transform Method (Rajendra K. Bairwa, Jagdev Singh)....Pages 179-188 Biological Model of Dengue Spread with Non-Markovian Properties (Sonal Jain, Abdon Atangana)....Pages 189-208 Approximate Solution of Higher Order Two Point Boundary Value Problems Using Uniform Haar Wavelet Collocation Method (Akmal Raza, Arshad Khan)....Pages 209-220 Solving Multi-objective Fractional Transportation Problem (Vishwas Deep Joshi, Rachana Saini)....Pages 221-228 On the Dark and Bright Solitons to the Negative-Order Breaking Soliton Model with (2+1)-Dimensional (Haci Mehmet Baskonus)....Pages 229-242 A Reliable Analytical Algorithm for Cubic Isothermal Auto-Catalytic Chemical System (Khaled M. Saad, H. M. Srivastava, Devendra Kumar)....Pages 243-260 Numerical Study of Effects of Adrenal Hormones on Lymphocytes (Shikaa Samuel, Vinod Gill, Devendra Kumar, Yudhveer Singh)....Pages 261-273 Mathematical Modelling of Poor Nutrition in the Human Life Cycle (Ebenezer Bonyah, Kojo Ababio, Patience Pokuaa Gambrah)....Pages 275-293 Characteristics of Homogeneous Heterogeneous Reaction on Flow of Walters’ B Liquid Under the Statistical Paradigm (Anum Shafiq, T. N. Sindhu, Z. Hammouch)....Pages 295-311