Download or read book Solution of Random Operator Equations and Inclusions written by Ismat Beg and published by LAP Lambert Academic Publishing. This book was released on 2011-02 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in probabilistic operator theory generally includes the solutions of random operator equations and random operator inclusion, random extension theorems, limit theorems, measure theoretic problems, spectral theory of random operators and semi groups of random operators and their properties. Various ideas associated with random fixed point theory are used to form a particularly elegant approach for the solution of nonlinear random systems. Now this theory has become full- fledged research area lying at the intersection of nonlinear analysis and probability theory. In this monograpgh those aspects of random solution of random operator equations and random operator inclusion, which fall within the scope of investigation of random fixed point are discussed.

Download or read book On the approximate solution of random operator equations written by Werner Römisch and published by . This book was released on 1980 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Random Integral Equations written by Bharucha-Reid and published by Academic Press. This book was released on 1973-03-02 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random Integral Equations

Download or read book Convergence of approximate solutions of nonlinear random operator equations with non unique solutions written by Heinz W. Engl and published by . This book was released on 1983 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Approximate Solution of Random Equations written by Albert T. Bharucha-Reid and published by North-Holland. This book was released on 1979 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Projection schemes for random operator equations weak compactness of approximate solution measures written by Albert T. Bharucha-Reid and published by . This book was released on 1984 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fractional Differential Equations And Inclusions Classical And Advanced Topics written by Said Abbas and published by World Scientific. This book was released on 2023-02-02 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for various classes of functional differential equations or inclusions involving the Hadamard or Hilfer fractional derivative. Some equations present delay which may be finite, infinite, or state-dependent. Others are subject to impulsive effect which may be fixed or non-instantaneous.Readers will find the book self-contained and unified in presentation. It provides the necessary background material required to go further into the subject and explores the rich research literature in detail. Each chapter concludes with a section devoted to notes and bibliographical remarks and all abstract results are illustrated by examples. The tools used include many classical and modern nonlinear analysis methods such as fixed-point theorems, as well as some notions of Ulam stability, attractivity and the measure of non-compactness as well as the measure of weak noncompactness. It is useful for researchers and graduate students for research, seminars, and advanced graduate courses, in pure and applied mathematics, physics, mechanics, engineering, biology, and all other applied sciences.

Download or read book Approximate Solution of Random Operator Equations written by Werner Römisch and published by . This book was released on 1982 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Approximate Solutions of Nonlinear Random Operator Equations written by Heinz W. Engl and published by . This book was released on 1983 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fractional Difference Differential Equations and Inclusions written by Saïd Abbas and published by Elsevier. This book was released on 2024-01-16 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of fractional calculus (FC) is more than 300 years old, and it presumably stemmed from a question about a fractional-order derivative raised in communication between L'Hopital and Leibniz in the year 1695. This branch of mathematical analysis is regarded as the generalization of classical calculus, as it deals with the derivative and integral operators of fractional order. The tools of fractional calculus are found to be of great utility in improving the mathematical modeling of many natural phenomena and processes occurring in the areas of engineering, social, natural, and biomedical sciences. Fractional Difference, Differential Equations, and Inclusions: Analysis and Stability is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for several classes of functional fractional difference equations and inclusions. Some equations include delay effects of finite, infinite, or state-dependent nature. Others are subject to impulsive effect which may be fixed or non-instantaneous. The tools used to establish the existence results for the proposed problems include fixed point theorems, densifiability techniques, monotone iterative technique, notions of Ulam stability, attractivity and the measure of non-compactness as well as the measure of weak noncompactness. All the abstract results are illustrated by examples in applied mathematics, engineering, biomedical, and other applied sciences. Introduces notation, definitions, and foundational concepts of fractional q-calculus Presents existence and attractivity results for a class of implicit fractional q-difference equations in Banach and Fréchet spaces Focuses on the study of a class of coupled systems of Hilfer and Hilfer-Hadamard fractional differential equations

Download or read book Topological Methods for Differential Equations and Inclusions written by John R. Graef and published by CRC Press. This book was released on 2018-09-25 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.

Download or read book Computational Solution of Random Equations written by A. T. Bharucha-Reid and published by . This book was released on 1983 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research project was concerned with the systematic development of computational methods for random equations. An earlier ARO research project was concerned primarily with the development of computational methods for the solution of random integral equations. This project was concerned with the computational solution of random integral equations as well as other classes of random equations, with special reference to computer implementation of general methods for obtaining approximate solution of other classes of random equations. In particular, we were concerned with computer implementation of (1) approximate methods for solving random linear algebraic systems of equations, (2) projection methods for solving random operator equations, and (3) iterative methods for solving random operator equations.

Download or read book A Survey on the Theory of Random Equations written by Albert T. Bharucha-Reid and published by . This book was released on 1964 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On an Approximation Method for Random Operator Equations written by Viorel Radu and published by . This book was released on 1980 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Random Operator Equations in Mathematical Physics written by G. Adomian and published by . This book was released on 1970 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fractional Evolution Equations and Inclusions written by Yong Zhou and published by Academic Press. This book was released on 2016-02-05 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development. This is important because differential models with the fractional derivative providing an excellent instrument for the description of memory and hereditary properties, and have recently been proved valuable tools in the modeling of many physical phenomena. The fractional order models of real systems are always more adequate than the classical integer order models, since the description of some systems is more accurate when the fractional derivative is used. The advantages of fractional derivatization become evident in modeling mechanical and electrical properties of real materials, description of rheological properties of rocks and in various other fields. Such models are interesting for engineers and physicists as well as so-called pure mathematicians. Phenomena investigated in hybrid systems with dry friction, processes of controlled heat transfer, obstacle problems and others can be described with the help of various differential inclusions, both linear and nonlinear. Fractional Evolution Equations and Inclusions is devoted to a rapidly developing area of the research for fractional evolution equations & inclusions and their applications to control theory. It studies Cauchy problems for fractional evolution equations, and fractional evolution inclusions with Hille-Yosida operators. It discusses control problems for systems governed by fractional evolution equations. Finally it provides an investigation of fractional stochastic evolution inclusions in Hilbert spaces. - Systematic analysis of existence theory and topological structure of solution sets for fractional evolution inclusions and control systems - Differential models with fractional derivative provide an excellent instrument for the description of memory and hereditary properties, and their description and working will provide valuable insights into the modelling of many physical phenomena suitable for engineers and physicists - The book provides the necessary background material required to go further into the subject and explore the rich research literature

Download or read book Linear Random Operator Equations in Mathematical Physics written by G. Adomian and published by . This book was released on 1971 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: