Temat: pochodna ułamkowa Riemanna Liouville'a - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Time-optimal control of linear fractional systems with variable coefficients
Autorzy:: Matychyn, Ivan
Onyshchenko, Viktoriia
Powiązania:: https://bibliotekanauki.pl/articles/2055161.pdf
Data publikacji:: 2021
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: fractional calculus
Riemann-Liouville derivative
variable coefficients
optimal control
rachunek ułamkowy
pochodna ułamkowa Riemanna-Liouville'a
współczynnik zmienny
sterowanie optymalne
Opis:: Linear systems described by fractional differential equations (FDEs) with variable coefficients involving Riemann–Liouville and Caputo derivatives are examined in the paper. For these systems, a solution of the initial-value problem is derived in terms of the generalized Peano–Baker series and a time-optimal control problem is formulated. The optimal control problem is treated from the convex-analytical viewpoint. Necessary and sufficient conditions for time-optimal control similar to that of Pontryagin’s maximum principle are obtained. Theoretical results are supported by examples.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2021, 31, 3; 375--386
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Group invariant solution of some time fractional evolution equations
Autorzy:: Mandal, H.
Bira, B.
Powiązania:: https://bibliotekanauki.pl/articles/122890.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: fractional coupled Burger’s equation
fractional DSSH equations
Riemann Liouville’s fractional derivative
Erdélyi-Kober operator
symmetry analysis
exact solution
równania ewolucji
ułamkowe równania różniczkowe
ułamkowe równania DSSH
pochodna ułamkowa Riemanna Liouville'a
operator Erdélyi-Kober
Opis:: In this paper, we consider some classes of a system of nonlinear fractional differential equations (FDEs) arising in some important physical phenomena. Using symmetry group of transformations, the given systems of fractional partial differential equations (FPDEs) are reduced to systems of fractional ordinary differential equations (FODEs). Further, using the group invariant condition, we solve the reduced systems of FODEs and exact solutions of the given equations are constructed. Finally, the physical significance of the solutions are investigated graphically based on the exact solutions in order to highlight the importance of the study.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 4; 35-46
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

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