Hadamard Type Fractional Differential Equations Inclusions And Inequalities PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Hadamard Type Fractional Differential Equations Inclusions And Inequalities PDF full book. Access full book title Hadamard Type Fractional Differential Equations Inclusions And Inequalities.
Author | : Bashir Ahmad |
Publisher | : Springer |
Total Pages | : 414 |
Release | : 2017-03-16 |
Genre | : Mathematics |
ISBN | : 3319521411 |
Download Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities Book in PDF, ePub and Kindle
This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral. Through a comprehensive study based in part on their recent research, the authors address the issues related to initial and boundary value problems involving Hadamard type differential equations and inclusions as well as their functional counterparts. The book covers fundamental concepts of multivalued analysis and introduces a new class of mixed initial value problems involving the Hadamard derivative and Riemann-Liouville fractional integrals. In later chapters, the authors discuss nonlinear Langevin equations as well as coupled systems of Langevin equations with fractional integral conditions. Focused and thorough, this book is a useful resource for readers and researchers interested in the area of fractional calculus.
Author | : Sotiris K. Ntouyas |
Publisher | : MDPI |
Total Pages | : 518 |
Release | : 2020-11-09 |
Genre | : Mathematics |
ISBN | : 3039432184 |
Download Fractional Differential Equations, Inclusions and Inequalities with Applications Book in PDF, ePub and Kindle
During the last decade, there has been an increased interest in fractional differential equations, inclusions, and inequalities, as they play a fundamental role in the modeling of numerous phenomena, in particular, in physics, biomathematics, blood flow phenomena, ecology, environmental issues, viscoelasticity, aerodynamics, electrodynamics of complex medium, electrical circuits, electron-analytical chemistry, control theory, etc. This book presents collective works published in the recent Special Issue (SI) entitled "Fractional Differential Equation, Inclusions and Inequalities with Applications" of the journal Mathematics. This Special Issue presents recent developments in the theory of fractional differential equations and inequalities. Topics include but are not limited to the existence and uniqueness results for boundary value problems for different types of fractional differential equations, a variety of fractional inequalities, impulsive fractional differential equations, and applications in sciences and engineering.
Author | : JinRong Wang |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 387 |
Release | : 2018-05-22 |
Genre | : Mathematics |
ISBN | : 3110522446 |
Download Fractional Hermite-Hadamard Inequalities Book in PDF, ePub and Kindle
This book extends classical Hermite-Hadamard type inequalities to the fractional case via establishing fractional integral identities, and discusses Riemann-Liouville and Hadamard integrals, respectively, by various convex functions. Illustrating theoretical results via applications in special means of real numbers, it is an essential reference for applied mathematicians and engineers working with fractional calculus. Contents Introduction Preliminaries Fractional integral identities Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals Hermite-Hadamard inequalities involving Hadamard fractional integrals
Author | : Saïd Abbas |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 359 |
Release | : 2018-02-05 |
Genre | : Mathematics |
ISBN | : 311055318X |
Download Implicit Fractional Differential and Integral Equations Book in PDF, ePub and Kindle
This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus. Contents Preliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Impulsive NIFDE Integrable Solutions for Implicit Fractional Differential Equations Partial Hadamard Fractional Integral Equations and Inclusions Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions Hadamard–Stieltjes Fractional Integral Equations Ulam Stabilities for Random Hadamard Fractional Integral Equations
Author | : Saïd Abbas |
Publisher | : Elsevier |
Total Pages | : 400 |
Release | : 2024-01-16 |
Genre | : Computers |
ISBN | : 044323602X |
Download Fractional Difference, Differential Equations, and Inclusions Book in PDF, ePub and Kindle
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
Author | : Snezhana Hristova |
Publisher | : MDPI |
Total Pages | : 190 |
Release | : 2021-02-22 |
Genre | : Mathematics |
ISBN | : 303650074X |
Download Recent Investigations of Differential and Fractional Equations and Inclusions Book in PDF, ePub and Kindle
During the past decades, the subject of calculus of integrals and derivatives of any arbitrary real or complex order has gained considerable popularity and impact. This is mainly due to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. In connection with this, great importance is attached to the publication of results that focus on recent and novel developments in the theory of any types of differential and fractional differential equation and inclusions, especially covering analytical and numerical research for such kinds of equations. This book is a compilation of articles from a Special Issue of Mathematics devoted to the topic of “Recent Investigations of Differential and Fractional Equations and Inclusions”. It contains some theoretical works and approximate methods in fractional differential equations and inclusions as well as fuzzy integrodifferential equations. Many of the papers were supported by the Bulgarian National Science Fund under Project KP-06-N32/7. Overall, the volume is an excellent witness of the relevance of the theory of fractional differential equations.
Author | : George A. Anastassiou |
Publisher | : Springer Science & Business Media |
Total Pages | : 672 |
Release | : 2009-05-28 |
Genre | : Mathematics |
ISBN | : 0387981284 |
Download Fractional Differentiation Inequalities Book in PDF, ePub and Kindle
In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by Canavati, Riemann-Liouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is self-contained. The theory is presented systematically along with the applications. The application to information theory is also examined. This monograph is suitable for researchers and graduate students in pure mathematics. Applied mathematicians, engineers, and other applied scientists will also find this book useful.
Author | : Dorin Andrica |
Publisher | : Springer Nature |
Total Pages | : 848 |
Release | : 2019-11-14 |
Genre | : Mathematics |
ISBN | : 3030274071 |
Download Differential and Integral Inequalities Book in PDF, ePub and Kindle
Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.
Author | : Saïd Abbas |
Publisher | : Springer Science & Business Media |
Total Pages | : 403 |
Release | : 2012-08-17 |
Genre | : Mathematics |
ISBN | : 146144036X |
Download Topics in Fractional Differential Equations Book in PDF, ePub and Kindle
Topics in Fractional Differential Equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. Fractional calculus generalizes the integrals and derivatives to non-integer orders. During the last decade, fractional calculus was found to play a fundamental role in the modeling of a considerable number of phenomena; in particular the modeling of memory-dependent and complex media such as porous media. It has emerged as an important tool for the study of dynamical systems where classical methods reveal strong limitations. Some equations present delays which may be finite, infinite, or state-dependent. Others are subject to an impulsive effect. The above problems are studied using the fixed point approach, the method of upper and lower solution, and the Kuratowski measure of noncompactness. This book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists.
Author | : Safoura Rezaei Aderyani |
Publisher | : Springer Nature |
Total Pages | : 580 |
Release | : |
Genre | : |
ISBN | : 3031555643 |
Download Towards Ulam Type Multi Stability Analysis Book in PDF, ePub and Kindle