Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory

1. Front Matter

   Pages i-xi

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2. Exact Solution for Mixed Integral Equations by Method of Bernoulli Polynomials

   • Mithilesh Singh, Nidhi Handa, Shivani Singhal

   Pages 1-9

3. Turing Patterns in a Cross Diffusive System

   • Nishith Mohan, Nitu Kumari

   Pages 11-28

4. On Multi-objective Optimization Problems and Vector Variational-Like Inequalities

   • Vivek Laha, Harsh Narayan Singh

   Pages 29-39

5. Controllability of Semilinear Control Systems with Fixed Delay in State

   • Abdul Haq, N. Sukavanam

   Pages 41-50

6. Computational Performance of Server Using the Mx/M/1 Queue Model

   • Jitendra Kumar, Vikas Shinde

   Pages 51-66

7. Quantum Codes from the Cyclic Codes Over \(\mathbb {F}_{p}[v,w]/\langle v^{2}-1,w^{2}-1,vw-wv\rangle \)

   • Habibul Islam, Om Prakash, Ram Krishna Verma

   Pages 67-74

8. Effect of Sterile Insect Technique on Dynamics of Stage-Structured Model Under Immigration

   • Sumit Kaur Bhatia, Sudipa Chauhan, Priyanka Arora

   Pages 75-86

9. Strict Practical Stability of Impulsive Differential System in Terms of Two Measures

   • Pallvi Mahajan, Sanjay Kumar Srivastava, Rakesh Dogra

   Pages 87-95

10. Free Vibration Analysis of Rigidly Fixed Axisymmetric Viscothermoelastic Cylinder

    • Himani Mittal, D. K. Sharma

    Pages 97-112

11. Study on a Free Boundary Problem Arising in Porous Media

    • Bhumika G. Choksi, Twinkle R. Singh

    Pages 113-121

12. Effect of Habitat on Dynamic of Native and Exotic Prey–Predator Population

    • Namita Goel, Sudipa Chauhan, Sumit Kaur Bhatia

    Pages 123-136

13. On Cliques and Clique Chromatic Numbers in Line, Lict and Lictact Graphs

    • Rashmi Jain, Anuj Kumar Jain

    Pages 137-143

14. Friendship-Like Graphs and It’s Classiffication

    • K. Nageswara Rao, P. Shaini, K. A. Germina

    Pages 145-154

15. Chaotic Maps: Applications to Cryptography and Network Generation for the Graph Laplacian Quantum States

    • Anoopa Joshi, Atul Kumar

    Pages 155-164

16. Consumer Behaviour Analysis for Purchasing a Passenger Car in Indian Context

    • Tanmay Agarwal, Nivedika Saroha, Girish Kumar

    Pages 165-177

17. A New Hybrid Model Based on Triple Exponential Smoothing and Fuzzy Time Series for Forecasting Seasonal Time Series

    • A. J. Saleena, C. Jessy John

    Pages 179-190

18. New Fuzzy Divergence Measure and Its Applications in Multi-criteria Decision-Making Using New Tool

    • Ram Naresh Saraswat, Adeeba Umar

    Pages 191-205

19. An SIRS Age-Structured Model for Vector-Borne Diseases with Infective Immigrants

    • Nisha Budhwar, Sunita Daniel, Vivek Kumar

    Pages 207-219

20. Numerical Study of Conformable Space and Time Fractional Fokker–Planck Equation via CFDT Method

    • Brajesh Kumar Singh, Anil Kumar

    Pages 221-233

This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23–25 October 2018. Divided into two volumes, it discusses major topics in mathematical analysis and its applications, and demonstrates the versatility and inherent beauty of analysis. It also shows the use of analytical techniques to solve problems and, wherever possible, derive their numerical solutions. This volume addresses major topics, such as multi-objective optimization problems, impulsive differential equations, mathematical modelling, fuzzy mathematics, graph theory, and coding theory. It is a valuable resource to students as well as researchers in mathematical sciences.

• optimisation
• graph theory
• analysis
• partial differential equations
• ordinary differential equations
• cryptography
• ICRAPAM

• Department of Applied Mathematics, Delhi Technological University, New Delhi, India

  Naokant Deo

• Department of Mathematics, Netaji Subhas University of Technology, New Delhi, India

  Vijay Gupta

• Department of Mathematics, Lucian Blaga University of Sibiu, Sibiu, Romania

  Ana Maria Acu

• Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India

  P. N. Agrawal

Naokant Deo, Ph.D., is a Professor at the Department of Applied Mathematics, Delhi Technological University, India. He is an active member of various scientific organizations. 

His main research interests include approximation theory and real analysis.

Vijay Gupta is a Professor in the Department of Mathematics at the Netaji Subhas University of Technology, New Delhi, India. He holds a Ph.D. from the Indian Institute of Technology Roorkee (formerly, the University of Roorkee), and his area of research is approximation theory, with a focus on linear positive operators. The author of 5 books, 15 book chapters, and over 300 research papers, he is actively involved in editing over 25 international scientific research journals.

Ana Maria Acu is a Professor at the Department of Mathematics and Computer Science, Lucian Blaga University of Sibiu, Romania. She earned her Ph.D. in Mathematics from the Technical University of Cluj-Napoca, Romania. She is an active member of various scientific organizations, editorial boards of scientific journals, and scientific committees, and her main research interest is approximation theory.

P.N. Agrawal is a Professor at the Department of Mathematics, Indian Institute of Technology Roorkee, India. He received his Ph.D. degree from the Indian Institute of Technology Kanpur, India, in 1980. Professor Agrawal has published 110 research papers in various respected journals, has presented papers at a number of international conferences in India and abroad and also delivered invited lectures. His research interests include approximation theory, numerical methods, and complex analysis.

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