Mathematical Analysis and Applications: MAA 2020, Jamshedpur, India, November 2–4 (Springer Proceedings in Mathematics & Statistics, 381)

This book collects original peer-reviewed contributions presented at the "International Conference on Mathematical Analysis and Applications (MAA 2020)" organized by the Department of Mathematics, National Institute of Technology Jamshedpur, India, from 2–4 November 2020. This book presents peer-reviewed research and survey papers in mathematical analysis that cover a broad range of areas including approximation theory, operator theory, fixed-point theory, function spaces, complex analysis, geometric and univalent function theory, control theory, fractional calculus, special functions, operation research, theory of inequalities, equilibrium problem, Fourier and wavelet analysis, mathematical physics, graph theory, stochastic orders and numerical analysis. Some chapters of the book discuss the applications to real-life situations. This book will be of value to researchers and students associated with the field of pure and applied mathematics. Committee 6 Preface 10 Contents 13 A Note on Isolated Removable Singularities of Harmonic Functions 15 1 Introduction 15 2 The Removable Singularities Theorem 16 References 20 Nonlinear Evolution Equations by a Ky Fan Minimax Inequality Approach 21 1 Introduction 22 2 Preliminaries and Basic Mathematical Tools 25 3 Existence Results for Nonlinear Evolution Equations 32 4 Results on Solvability for Nonlinear Implicit Evolution Equations 40 4.1 Solvability for the Auxiliary Evolution Problem 41 4.2 Solvability Criteria for Implicit Nonlinear Evolution Equations 44 References 48 Sufficient Conditions Concerning the Unified Class of Starlike and Convex Functions 51 1 Introduction 51 2 Sufficient Conditions 53 3 Applications 61 4 Pascu Class 65 References 66 One Dimensional Parametrized Test Functions Space of Entire Functions 68 1 Introduction 68 2 Preliminaries 69 3 Main Results and Proofs 70 References 77 Extremal Mild Solutions of Hilfer Fractional Impulsive Systems 79 1 Literature Motivation 79 2 Essential Notions 81 3 Main Results 84 4 Conclusion 90 References 91 On Integral Solutions for a Class of Mixed Volterra-Fredholm Integro Differential Equations with Caputo Fractional Derivatives 93 1 Introduction 93 2 Preliminaries 95 3 Existence Results 98 4 Examples 104 5 Conclusion 105 References 105 Trajectory Controllability of Integro-Differential Systems of Fractional Order γin(1,2] in a Banach Space with Deviated Argument 107 1 Introduction 107 2 Preliminaries 108 3 Trajectory Controllability 111 4 Application 112 References 114 Shehu-Adomian Decomposition Method for Dispersive KdV-Type Equations 115 1 Introduction 115 2 Adomian Decomposition Method (ADM) 117 2.1 ADM Applied to Eq. (2) 118 2.2 ADM Applied to Eq. (4) 120 3 A New Laplace-Type Transform: Shehu's Transform Method for Solving PDEs 122 3.1 Outline of the Method: SADM 125 4 Some Applications: SADM 127 4.1 Implementation of SADM for Eq. (2) 127 4.2 Implementation of SADM for Eq. (6) 129 4.3 Implementation of SADM for Eq. (8) 135 5 Conclusions 139 References 140 On Certain Properties of Perturbed Freud-Type Weight: A Revisit 142 1 Introduction 142 2 Semiclassical Perturbed Freud-Type Polynomials 145 3 Certain Properties of the Considered Semiclassical Polynomials 146 3.1 Finite Moments 146 3.2 Concise Formulation 149 3.3 Normalization Constant 150 3.4 Nonlinear Recursion Relation 152 3.5 Differential-Recurrence Relation 156 3.6 Shohat's Quasi-Orthogonality Method 158 4 The Differential Equation 162 5 Application of Eq. (56) for Electrostatic Zero Distribution 163 6 Conclusions 164 References 164 Complex Chaotic Systems and Its Complexity 166 1 Introduction 166 2 Fractional Calculus 167 2.1 Definition 167 2.2 Numerical Algorithm 169 2.3 Stability 170 3 Chaotic System 170 3.1 Lorenz System 170 3.2 Fractional Order Lorenz System 171 3.3 Complex Lorenz System 172 3.4 Fractional Order Complex Lorenz System 173 4 Analysis of the FOCLS 173 4.1 Real Version 173 4.2 Symmetry and Invariance 174 4.3 Equilibrium Points 174 4.4 Stability 174 4.5 Chaotic Attractors 175 5 Numerical Simulation 175 6 Concluding Remarks 175 References 176 On the Bertrand Pairs of Open Non-Uniform Rational B-Spline Curves 178 1 Introduction 178 2 Preliminaries 179 2.1 Open B-Spline Curves 181 2.2 The Rational de Boor Algorithm 184 3 Main Results 184 3.1 The Derivatives of the Open Non-Uniform Rational B-Spline Curves 184 3.2 The Frenet Frame on the Open Non-Uniform Rational B-Spline Curves 187 3.3 The Bertrand Pairs of Open NURBS Curves 189 References 193 Convergence Analysis of a Sixth-Order Method Under Weak Continuity Condition with First-Order Fréchet Derivative 196 1 Introduction 196 2 Preliminary Conditions 197 2.1 Lemma 198 2.2 Lemma 199 2.3 Lemma 199 2.4 Lemma 200 3 Recurrence Relations 200 3.1 Lemma 202 4 Semi-local Convergence 203 5 Numerical Applications 207 5.1 Example 207 5.2 Example 209 5.3 Example 210 6 Conclusion 211 References 212 (m,n)-Paranormal Composition Operators 213 1 Introduction 213 2 (m,n)-Paranormal Composition Operators 214 3 Weighted Composition Operators 218 4 Multiplication Composition Operators 221 5 Concluding Remarks 223 References 223 On the Domain of q-Euler Matrix in c0 and c 225 1 Introduction 225 1.1 Euler Matrix of Order 1 and Sequence Spaces 226 1.2 q-Calculus 226 2 q-Euler Spaces eqc and eq0 227 3 Köthe Duals 230 4 Matrix Mappings 232 References 236 Study on Some Particular Class of Nonlinear Integral Equation with a Hybridized Approach 238 1 Introduction 238 2 Preliminaries 239 2.1 Main Results 240 2.2 Numerical Method 242 2.3 Error Algorithm 242 3 Numerical Results 244 4 Conclusion 245 References 245 Investigation of the Existence Criteria for the Solution of the Functional Integral Equation in the Lp Space 247 1 Introduction 247 2 Basics and Preliminaries 248 2.1 Main Results 249 3 Numerical Examples 252 4 Conclusion 252 References 253 Functional Inequalities for the Generalized Wright Functions 254 1 Introduction 254 2 Turán-Type Inequalities 256 3 Lazarević- and Wilker-Type Inequalities 263 4 Redheffer-Type Inequalities 264 References 268 An Information-Theoretic Entropy Related to Ihara ζ Function and Billiard Dynamics 270 1 Introduction: Dynamical Billiard and Ihara Zeta Function 270 2 Preliminary Concepts on the Generalized Entropy 273 3 Invertible Formal Power Series Related to Ihara Zeta Function 274 4 New Information-Theoretic Entropy 276 5 Conclusion 278 References 278 On a New Subclass of Sakaguchi Type Functions Using (mathfrakp,mathfrakq)-Derivative Operator 280 1 Introduction and Preliminaries 280 2 Main Results 282 3 Conclusion 286 References 286 Some Double Integral Formulae Associated with Q Function and Galue-Type Struve Function 288 1 Introduction and Preliminary 288 2 Main Results 292 3 Special Cases 295 4 Conclusions 297 References 297 Time-Dependent Analytical and Computational Study of an M/M/1 Queue with Disaster Failure and Multiple Working Vacations 299 1 Introduction 299 2 Model Description 301 3 Governing Equations 302 3.1 Transient Analysis 303 4 System Performance Measures 306 5 Numerical Simulation 306 6 Conclusion and Future Scope 309 References 309 Usual Stochastic Ordering Results for Series and Parallel Systems with Components Having Exponentiated Chen Distribution 311 1 Introduction 311 2 Definitions 313 3 Results 315 4 Inference 327 References 328