Fractional-Order Variational Calculus With Generalized Boundary Conditions
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Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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Top 10%
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Abstract
This paper presents the necessary and sufficient optimality conditions for fractional variational problems involving the right and the left fractional integrals and fractional derivatives defined in the sense of Riemman-Liouville with a Lagrangian depending on the free end-points. To illustrate our approach, two examples are discussed in detail.
Description
Herzallah, Mohamed/0000-0003-3514-3709
ORCID
Keywords
Fractional Differential Equations, Economics, Multivariable calculus, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Engineering, Differential equation, QA1-939, FOS: Mathematics, Functional Differential Equations, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Order (exchange), Lagrangian, Algebra and Number Theory, Time-scale calculus, Applied Mathematics, FOS: Clinical medicine, Control engineering, Fractional calculus, Partial differential equation, Applied mathematics, Fracture Mechanics Modeling and Simulation, Fractional Derivatives, Boundary Value Problems, Mechanics of Materials, Modeling and Simulation, Dentistry, Physical Sciences, Medicine, Fractional Calculus, Calculus (dental), Analysis, Mathematics, Ordinary differential equation, Finance, Calculus of variations, fractional integrals, Fractional ordinary differential equations, Optimality conditions for problems involving ordinary differential equations, necessary and sufficient optimality conditions, Fractional derivatives and integrals, fractional variational problems
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Herzallah, M.A.E., Baleanu, D. (2011). Fractional-order variational calculus with generalized boundary conditions. Advance in Difference Equations. http://dx.doi.org/10.1155/2011/357580
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
14
Source
Advances in Difference Equations
Volume
2011
Issue
Start Page
1
End Page
9
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Citations
CrossRef : 1
Scopus : 13
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Mendeley Readers : 10
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