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On Riesz-Caputo Formulation for Sequential Fractional Variational Principles

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Date

2012

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Publisher

Hindawi Publishing Corporation

Open Access Color

GOLD

Green Open Access

Yes

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No
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Abstract

This paper deals with sequential Riesz-Caputo fractional variational problems with and without the presence of delay in the state variables and their derivatives. In both cases the necessary conditions for the optimal control are reported.

Description

Jarad, Fahd/0000-0002-3303-0623; Abdeljawad, Thabet/0000-0002-8889-3768

Keywords

Numerical Analysis, Fractional Differential Equations, Applied Mathematics, Fractional calculus, Applied mathematics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Algorithm, Fractional Derivatives, Numerical Methods for Singularly Perturbed Problems, Modeling and Simulation, Physical Sciences, State (computer science), QA1-939, FOS: Mathematics, Riesz potential, Fractional Calculus, Anomalous Diffusion Modeling and Analysis, Mathematics, M. Riesz extension theorem, necessary conditions for optimal control, Fractional ordinary differential equations, Optimality conditions for problems involving ordinary differential equations, sequential Riesz-Caputo fractional variational problems, delay in the state variables and their derivative

Fields of Science

01 natural sciences, 0103 physical sciences

Citation

Jarad, F., Abdeljawad, T., Baleanu, D. (2012). On riesz-caputo formulation for sequential fractional variational principles. Abstract and Applied Analysis. http://dx.doi.org/10.1016/10.1155/2012/890396

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Scopus Q

Q3
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OpenCitations Citation Count
4

Source

Abstract and Applied Analysis

Volume

2012

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Citations

CrossRef : 3

Scopus : 20

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Mendeley Readers : 5

SCOPUS™ Citations

20

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Web of Science™ Citations

9

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3

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0.9583463

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