TY - JOUR
ID - 6732
TI - Analytical solutions for time-fractional Swift-Hohenberg equations via a modified integral transform technique
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Huseen, Shaheed N.
AU - Okposo, Newton Ighomaro
AD - Mathematics Department, Faculty of Computer Science and Mathematics, University of Thi-Qar, Thi-Qar, Iraq
AD - Department of Mathematics, Delta State University, Abraka, PMB 1, Delta State, Nigeria
Y1 - 2022
PY - 2022
VL - 13
IS - 2
SP - 2669
EP - 2684
KW - Fractional Swift-Hohenberg equation
KW - Caputo derivative
KW - Natural transform method
KW - Adomian Decomposition Method
DO - 10.22075/ijnaa.2022.26557.3384
N2 - In this work, the fractional natural transform decomposition method (FNTDM) is employed to obtain approximate analytical solutions for some time-fractional versions of the nonlinear Swift-Hohenberg (S-H) equation with the fractional derivatives taken in the sense of Caputo. The S-H equation models problems arising from fluid dynamics and describes temperature dynamics of thermal convection as well as complex pattern formation processes in liquid surfaces bounded along a horizontally well-conducting boundary. To explore the applicability, simplicity, and efficiency of the FNTDM, numerical simulations are provided for each of the considered problems to demonstrate the behavior of the obtained approximate solutions for different values of the fractional parameter index. The obtained simulations show a similar resemblance with those in existing related literature and further confirm the applicability of the considered method to even complex problems arising in diverse fields of applied mathematics and physics.
UR - https://ijnaa.semnan.ac.ir/article_6732.html
L1 - https://ijnaa.semnan.ac.ir/article_6732_88c6ec3a0e4f1b93dc127e645aa02750.pdf
ER -