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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
Application of first integral method to fractional partial differential equations
Indian Journal of Physics, Volume 88, No. 2, Year 2014
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Description
In this paper, fractional derivatives in the sense of modified Riemann-Liouville derivative and first integral method are applied for constructing exact solutions of nonlinear fractional generalized reaction duffing model and nonlinear fractional diffusion reaction equation with quadratic and cubic nonlinearity. Our approach provides first integrals in polynomial form with a high accuracy for two-dimensional plane autonomous systems. Exact soliton solutions are constructed through established first integrals. © 2013 IACS.
Authors & Co-Authors
Eslami, Mostafa
Iran, Babolsar
University of Mazandaran
Fathi Vajargah, B.
Iran, Rasht
University of Guilan
Mirzazadeh, M. A.
Iran, Rasht
University of Guilan
Biswas, Anjan
United States, Dover
Delaware State University
Saudi Arabia, Jeddah
King Abdulaziz University
Statistics
Citations: 4
Authors: 4
Affiliations: 4
Identifiers
Doi:
10.1007/s12648-013-0401-6
ISSN:
09731458
e-ISSN:
09749845