Coverart for item
The Resource Asymptotic integration and stability : for ordinary, functional and discrete differential equations of fractional order, Dumitru Baleanu, Çankaya University, Ankara, Turkey, Institute of Space Sciences, Bucharest, Romania, Octavian G. Mustafa, University of Craiova, Romania

Asymptotic integration and stability : for ordinary, functional and discrete differential equations of fractional order, Dumitru Baleanu, Çankaya University, Ankara, Turkey, Institute of Space Sciences, Bucharest, Romania, Octavian G. Mustafa, University of Craiova, Romania

Label
Asymptotic integration and stability : for ordinary, functional and discrete differential equations of fractional order
Title
Asymptotic integration and stability
Title remainder
for ordinary, functional and discrete differential equations of fractional order
Statement of responsibility
Dumitru Baleanu, Çankaya University, Ankara, Turkey, Institute of Space Sciences, Bucharest, Romania, Octavian G. Mustafa, University of Craiova, Romania
Creator
Contributor
Subject
Language
eng
Summary
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. Readership: Researchers and PhD students in mathematics, physics and applied sciences whose interests involve differential equations, fractional calculus, special functions, variational methods and their applications in physics, mechanics, engineering, economics, life sciences and social sciences. --Provided by publisher
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Baleanu, D.
Dewey number
515/.83
Index
index present
LC call number
QA314
LC item number
.B35 2015
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Mustafa, Octavian G
Series statement
Series on complexity, nonlinearity and chaos
Series volume
volume 4
http://library.link/vocab/subjectName
  • Fractional calculus
  • Fractional differential equations
  • Fractional calculus
  • Fractional differential equations
Label
Asymptotic integration and stability : for ordinary, functional and discrete differential equations of fractional order, Dumitru Baleanu, Çankaya University, Ankara, Turkey, Institute of Space Sciences, Bucharest, Romania, Octavian G. Mustafa, University of Craiova, Romania
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
The Differential Operators of Order 1 + Ü and Their Integral Counterparts -- Existence and Uniqueness of Solution for the Differential Equations of Order Ü -- Position of the Zeros, the Bihari Inequality, and the Asymptomatic Behavior of Solutions for the Differential Equations of Order Ü -- Asymptomatic Integration for the Differential Equations of Order 1 + Ü -- 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 Nonautonomous Systems -- Mittag-Leffler Stability of Fractional Nonlinear Systems with Delay -- Razumikhin Stability for Fractional Systems in the Presence of Delay -- Controllability of Some Fractional Evolution Nonlocal Impulsive Quasilinear Delay Integro-Differential Systems -- Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces
Control code
896791600
Extent
xi, 196 pages cm.
Isbn
9789814641098
Isbn Type
(hardcover : alk. paper)
Lccn
2014045570
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)896791600
Label
Asymptotic integration and stability : for ordinary, functional and discrete differential equations of fractional order, Dumitru Baleanu, Çankaya University, Ankara, Turkey, Institute of Space Sciences, Bucharest, Romania, Octavian G. Mustafa, University of Craiova, Romania
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
The Differential Operators of Order 1 + Ü and Their Integral Counterparts -- Existence and Uniqueness of Solution for the Differential Equations of Order Ü -- Position of the Zeros, the Bihari Inequality, and the Asymptomatic Behavior of Solutions for the Differential Equations of Order Ü -- Asymptomatic Integration for the Differential Equations of Order 1 + Ü -- 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 Nonautonomous Systems -- Mittag-Leffler Stability of Fractional Nonlinear Systems with Delay -- Razumikhin Stability for Fractional Systems in the Presence of Delay -- Controllability of Some Fractional Evolution Nonlocal Impulsive Quasilinear Delay Integro-Differential Systems -- Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces
Control code
896791600
Extent
xi, 196 pages cm.
Isbn
9789814641098
Isbn Type
(hardcover : alk. paper)
Lccn
2014045570
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)896791600

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