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Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

2017-03-16 Mathematics
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Release : 2017-03-16
Genre : Mathematics
Kind : eBook
Book Rating : 411/5 ( reviews)

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Book Synopsis Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities by : Bashir Ahmad

Download or read book Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities written by Bashir Ahmad. This book was released on 2017-03-16. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractional Differential Equations, Inclusions and Inequalities with Applications

2020-11-09 Mathematics
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Release : 2020-11-09
Genre : Mathematics
Kind : eBook
Book Rating : 184/5 ( reviews)

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Book Synopsis Fractional Differential Equations, Inclusions and Inequalities with Applications by : Sotiris K. Ntouyas

Download or read book Fractional Differential Equations, Inclusions and Inequalities with Applications written by Sotiris K. Ntouyas. This book was released on 2020-11-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractional Hermite-Hadamard Inequalities

2018-05-22 Mathematics
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Release : 2018-05-22
Genre : Mathematics
Kind : eBook
Book Rating : 620/5 ( reviews)

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Book Synopsis Fractional Hermite-Hadamard Inequalities by : JinRong Wang

Download or read book Fractional Hermite-Hadamard Inequalities written by JinRong Wang. This book was released on 2018-05-22. Available in PDF, EPUB and Kindle. Book excerpt: 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

Fractional Differential Equations And Inclusions: Classical And Advanced Topics

2023-02-02 Mathematics
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Release : 2023-02-02
Genre : Mathematics
Kind : eBook
Book Rating : 27X/5 ( reviews)

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Book Synopsis Fractional Differential Equations And Inclusions: Classical And Advanced Topics by : Said Abbas

Download or read book Fractional Differential Equations And Inclusions: Classical And Advanced Topics written by Said Abbas. This book was released on 2023-02-02. 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.

Implicit Fractional Differential and Integral Equations

2018-02-05 Mathematics
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Release : 2018-02-05
Genre : Mathematics
Kind : eBook
Book Rating : 18X/5 ( reviews)

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Book Synopsis Implicit Fractional Differential and Integral Equations by : Saïd Abbas

Download or read book Implicit Fractional Differential and Integral Equations written by Saïd Abbas. This book was released on 2018-02-05. Available in PDF, EPUB and Kindle. Book excerpt: 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

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