Group invariant solution of some time fractional evolution equations

• Autorzy: Mandal H. , Bira B.

Identyfikatory

DOI

10.17512/jamcm.2018.4.05

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional coupled Burger’s equation; fractional DSSH equations; Riemann Liouville’s fractional derivative; Erdélyi-Kober operator; symmetry analysis; exact solution

PL

równania ewolucji; ułamkowe równania różniczkowe; ułamkowe równania DSSH; pochodna ułamkowa Riemanna Liouville'a; operator Erdélyi-Kober

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2018
• Tom: Vol. 17, nr 4
• Strony: 35--46
• Opis fizyczny: Bibliogr. 23 poz., rys.

Twórcy

autor

Mandal H.

• Department of Mathematics, SRM Institute of Science and Technology Chennai, India

autor

Bira B.

• Department of Mathematics, SRM Institute of Science and Technology Chennai, India

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).