On a problem of group pursuit with fractional derivatives

SYSTEMS ANALYSIS: MODELING AND CONTROL. Materials of the International Conference in memory of Academician A.V. Kryazhimskiy, Moscow, May 31 - June 1, 2018 ◽

10.4213/proc20598 ◽

2018 ◽

Author(s):

Nikolai Nikandrovich Petrov

Keyword(s):

Fractional Derivatives ◽

Group Pursuit

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Evasion from pursuers in a problem of group pursuit with fractional derivatives and phase constraints

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki ◽

10.20537/vm170302 ◽

2017 ◽

Vol 27 (3) ◽

pp. 309-314 ◽

Cited By ~ 3

Author(s):

A.S. Bannikov ◽

Keyword(s):

Fractional Derivatives ◽

Group Pursuit ◽

Phase Constraints

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Group Pursuit Problem in a Differential Game with Fractional Derivatives, State Constraints, and Simple Matrix

Differential Equations ◽

10.1134/s0012266119060119 ◽

2019 ◽

Vol 55 (6) ◽

pp. 841-848

Author(s):

N. N. Petrov

Keyword(s):

Differential Game ◽

Fractional Derivatives ◽

State Constraints ◽

Pursuit Problem ◽

Group Pursuit ◽

Simple Matrix

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One problem of group pursuit with fractional derivatives and phase constraints

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki ◽

10.20537/vm170105 ◽

2017 ◽

Vol 27 (1) ◽

pp. 54-59 ◽

Cited By ~ 4

Author(s):

N.N. Petrov ◽

Keyword(s):

Fractional Derivatives ◽

Group Pursuit ◽

Phase Constraints

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To the problem of group pursuit with fractional derivatives

Proceeding of the International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin ◽

10.4213/proc23029 ◽

2018 ◽

Author(s):

Nikolai Nikandrovich Petrov

Keyword(s):

Fractional Derivatives ◽

Group Pursuit

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Evasion from pursuers in the problem of group pursuit with fractional derivatives and phase constraints

2018 14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference) (STAB) ◽

10.1109/stab.2018.8408347 ◽

2018 ◽

Author(s):

A. S. Bannikov

Keyword(s):

Fractional Derivatives ◽

Group Pursuit ◽

Phase Constraints

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Multiple Capture in a Group Pursuit Problem with Fractional Derivatives

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543819040151 ◽

2019 ◽

Vol 305 (S1) ◽

pp. S150-S157 ◽

Cited By ~ 1

Author(s):

N. N. Petrov

Keyword(s):

Fractional Derivatives ◽

Pursuit Problem ◽

Group Pursuit

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On Fractional Derivatives and Application

Recoletos Multidisciplinary Research Journal ◽

10.32871/rmrj1301.02.06 ◽

2013 ◽

Vol 1 (2) ◽

pp. 51-56

Author(s):

Mark Borres ◽

◽

Efren Barabat ◽

Jocelyn Panduyos ◽

◽

...

Keyword(s):

Fractional Derivatives

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Presentation of Solutions of Linear Systems with Fractional Derivatives in the Sense of Riemann-Liouville, Caputo and Miller-Ross

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v40.i6.10 ◽

2008 ◽

Vol 40 (6) ◽

pp. 1-11 ◽

Cited By ~ 29

Author(s):

Ivan I. Matichin ◽

Arkadiy A. Chikriy

Keyword(s):

Linear Systems ◽

Fractional Derivatives

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Approximation in the Mean of Classes of the Functions with Fractional Derivatives by their Abel-Poisson Integrals

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v51.i8.50 ◽

2019 ◽

Vol 51 (8) ◽

pp. 58-69

Author(s):

Tatyana V. Zhyhallo

Keyword(s):

Fractional Derivatives ◽

Poisson Integrals ◽

The Mean

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The properties of Bessel-type fractional derivatives and integrals

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v11i8.203 ◽

2016 ◽

pp. 3973-3982

Author(s):

V. R. Lakshmi Gorty

Keyword(s):

Fractional Order ◽

Real Line ◽

Computer Algebra System ◽

Fractional Derivatives ◽

Graphical Representation ◽

Fractional Integrals ◽

The Real ◽

Fractional Derivatives And Integrals ◽

Half Axis ◽

Derivatives Of

The fractional integrals of Bessel-type Fractional Integrals from left-sided and right-sided integrals of fractional order is established on finite and infinite interval of the real-line, half axis and real axis. The Bessel-type fractional derivatives are also established. The properties of Fractional derivatives and integrals are studied. The fractional derivatives of Bessel-type of fractional order on finite of the real-line are studied by graphical representation. Results are direct output of the computer algebra system coded from MATLAB R2011b.

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