Analytical treatment of fractional Swift-Hohenberg equation with uncertainty
Publish Year: 1403
Type: Journal paper
Language: English
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Document National Code:
JR_CAND-3-4_003
Index date: 31 December 2024
Analytical treatment of fractional Swift-Hohenberg equation with uncertainty abstract
In this article, we present the time-fractional Swift-Hohenberg equation (FSFE) with uncertainty where the fractional deriative is chossen in caputo sense. We have solved the fuzzy FSFE by homotopy analysis elzaki transform method (HAETM) which is a collaboration of homotopy analysis method with elzaki transform.The proposed algorithm provides a fast convergence series solution. Three dimensional plots of the solutions, error graphs and h-cut graphs are given to illustrate the efficacy of the method to solve FSFE.
Analytical treatment of fractional Swift-Hohenberg equation with uncertainty Keywords:
Fractional Swift-Hohenberg equation , Homotopy analysis Elzaki transform method , uncertain environment , Upper and lower bound approximate solutions
Analytical treatment of fractional Swift-Hohenberg equation with uncertainty authors
Amit Kumar
Department of Mathematics, Balarampur College, Purulia, West Bengal, India.
Samaresh Kumbhakar
Department of Mathematics, Sidho-Kanho-Birsha University, Purulia, West Bengal, India.
Shreya Mukherjee
Department of Mathematics, Sidho-Kanho-Birsha University, Purulia, West Bengal, India.
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