Overview

This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics in the field of fractional calculus include also the Mittag-Leffler and Razumikhin stability, stability of a class of discrete fractional non-autonomous systems, asymptotic integration with a priori given coefficients, intervals of disconjugacy (non-oscillation), existence of Lp solutions for various linear, and nonlinear fractional differential equations.

Full Product Details

Author:   Dumitru Baleanu (Cankaya Univ, Turkey & Inst Of Space Sciences, Romania) ,  Octavian G Mustafa (Univ Of Craiova, Romania)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   4
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.10cm
Weight:   0.522kg
ISBN:  

9789814641098

ISBN 10:   981464109
Pages:   208
Publication Date:   13 March 2015
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

The Differential Operators of Order 1 + alpha and their Integral Counterpart; Existence and Uniqueness of Solution for the Differential Equations of Order alpha Position of the Zeros, the Bihari Inequality, and the Asymptotic Behavior of Solutions for the Differential Equations of Order alpha Asymptotic Integration for the Differential Equations of Order 1 + alpha Existence and Uniqueness of Solution for Some Delay Differential Equations with Caputo Derivatives; Existence of Positive Solutions for some Delay Fractional Differential Equations with a Generalized N-Term; Stability of a Class of Discrete Fractional Non-autonomous Systems; Mittag-Leffler Stability for Fractional Nonlinear Systems with Delay; A Razumikhin Stability Theorem for Fractional Systems with Delay; Controllability of Fractional Evolution Non-Local Impulsive Quasilinear Delay Integro-Differential Systems; Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces;

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