固定点理論と分数階微積分：最前線と応用 Fixed Point Theory and Fractional Calculus : Recent Advances and Applications (Forum for Interdisciplinary Mathematics)

Debnath, Pradip (EDT)/ Srivastava, H. M. (EDT)/ Kumam, Poom (EDT)

Springer Verlag, Singapore（2023/05発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 351 p.
• 言語 ENG
• 商品コード 9789811906701
• DDC分類 515.7248

Full Description

This book collects chapters on fixed-point theory and fractional calculus and their applications in science and engineering. It discusses state-of-the-art developments in these two areas through original new contributions from scientists across the world. It contains several useful tools and techniques to develop their skills and expertise in fixed-point theory and fractional calculus. New research directions are also indicated in chapters. This book is meant for graduate students and researchers willing to expand their knowledge in these areas. The minimum prerequisite for readers is the graduate-level knowledge of analysis, topology and functional analysis.

Contents

Best Proximity Points for Some Multivalued Contractive Mappings.- Best Proximity Point Theorems via Some Generalized Notions.- New Fixed-Figure Results on Metric Spaces.- Some Fixed Point Results for Suzuki F-Contractions Involving Quadratic Terms in Modular b-Metric Spaces.- Some Common Fixed Point Results via -Series for a Family of JS-Contraction-type Mappings.- Solution of Nonlinear First-Order Hybrid Integro-Differential Equations via Fixed Point Theorem.- Application of Darbo's Fixed Point Theorem for Existence Result of Generalized 2D Functional Integral Equations.- Results on Generalized Tripled Fuzzy b-Metric Spaces.- A Novel Controlled Picture Fuzzy Metric Space and Some Related Fixed Point Results.- Theoretical Analysis for a Generalized Fractional-Order Boundary Value Problem.- On Well-posed Variational Problems Involving Multidimensional Integral Functionals.- On the Coupled System of Tempered Fractional Differential Equations with Anti-periodic Boundary Conditions.- Application of Measure of Noncompactness on the Infinite System of Hadamard Fractional Iintegral Equations.- Observability, Reachability, Trajectory Reachability and Optimal Reachability of Fractional Dynamical Systems using Riemann-Liouville Fractional Derivative.- Fractional Calculus Approach to Logistic Equation and its Applications.- Hermite-Hadamard Type Inequalities for Coordinated Quasi-Convex Functions via Generalized Fractional Integrals.- Leray-Schauder Theorem for Implicit Fractional Differential Equation and Nonlocal Multi-Point Conditions.- The q-Deformed Hamiltonian, Lagrangian, Entropy and Fisher Information.