Mathematical Methods in Engineering

Theoretical Aspects

Kenan Taş, Dumitru Baleanu, J. A. Tenreiro Machado (Herausgeber)

Buch | Hardcover

VIII, 278 Seiten

2018
Springer International Publishing (Verlag)
978-3-319-91064-2 (ISBN)

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This book collects chapters dealing with some of the theoretical aspects needed to properly discuss the dynamics of complex engineering systems. The book illustrates advanced theoretical development and new techniques designed to better solve problems within the nonlinear dynamical systems. Topics covered in this volume include advances on fixed point results on partial metric spaces, localization of the spectral expansions associated with the partial differential operators, irregularity in graphs and inverse problems, Hyers-Ulam and Hyers-Ulam-Rassias stability for integro-differential equations, fixed point results for mixed multivalued mappings of Feng-Liu type on Mb-metric spaces, and the limit q-Bernstein operators, analytical investigation on the fractional diffusion absorption equation.

Dr. Kenan Tas is a Professor and Provost Of The Çankaya University, Ankara, Turkey. Dr. Dumitru Baleanu is a Professor with Institute of Space Sciences, Magurele-Bucharest, Romania and Visiting Staff Member At Cankaya University, Ankara, Turkey. Dr. J. A. Tenreiro Machado is Principal Coordinator Professor Institute of Engineering, Polytechnic of Porto, Portugal.

Advances on fixed point results on partial metric spaces.- Localization of the spectral expansions associated with the partial differential operators.- Irregularity in Graphs and Inverse Problems.- Hyers-Ulam and Hyers-Ulam-Rassias Stability for a Class of Integro-Differential Equations.- Fixed point results for mixed multivalued mappings of Feng-Liu type on Mb-metric spaces.- The limit q-Bernstein operators with varying q.- Analytical investigation on the fractional diffusion-absorption equation.- A New Contribution to Nonparametric Regression by Conic Quadratic Programming.- On the existence of solution for a sum fractional finite difference inclusion.- Fractional Order Filter Discretization by Particle Swarm Optimization Method.- Comparison on Solving a Class of Nonlinear Systems of Partial Differential Equations and Multiple Solutions of Second Order Differential Equations.

"All the papers are presented as theorems, and there are no problems to show readers their application. Each chapter has extensive citations. Some of the theorems have derivations that are illustrated by graphs. ... Summing Up: Recommended. Researchers, faculty, and professionals." (N. Sadanand, Choice, Vol. 56 (11), July, 2019)

“All the papers are presented as theorems, and there are no problems to show readers their application. Each chapter has extensive citations. Some of the theorems have derivations that are illustrated by graphs. … Summing Up: Recommended. Researchers, faculty, and professionals.” (N. Sadanand, Choice, Vol. 56 (11), July, 2019)

Erscheinungsdatum	16.08.2018
Reihe/Serie	Nonlinear Systems and Complexity
Zusatzinfo	VIII, 278 p. 42 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	712 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Technik
Schlagworte	Complexity • Engineering Mathematics • fractional diffusion-absorption equation • Hyers-Ulam-Rassias Stability • Hyers-Ulam stability • integro-differential equations • Irregularity in Graphs and Inverse Problems • Mb-metric spaces • Nonparametric Regression by Conic Quadratic Progra • Nonparametric Regression by Conic Quadratic Programming • Partial differential equations • partial metric spaces • Particle Swarm Optimization Method • q-Bernstein operators • Spectral expansions
ISBN-10	3-319-91064-7 / 3319910647
ISBN-13	978-3-319-91064-2 / 9783319910642
Zustand	Neuware