2022
DOI: 10.1155/2022/3864053
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Series Type Solution of Fuzzy Fractional Order Swift–Hohenberg Equation by Fuzzy Hybrid Sumudu Transform

Abstract: There are some confusion and complexity in our everyday lives, as we live in an uncertain environment. In such type of environment, an accurate calculation of the data and finding a solution to a problem is not an easy job. So, fuzzy differential equations are the better tools to model problems in the fuzzy domain. Modeling the real-world phenomenon more accurately requires such operators. Therefore, we investigate the fractional-order Swift–Hohenberg equation in the fuzzy concept. We study this equation under… Show more

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Cited by 4 publications
(1 citation statement)
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“…Abu Arqub et al [28,29] extended the reproducing kernel Hilbert space method in seeking the numerical solutions of FFDEs and fuzzy fractional Volterra and Fredholm integrodifferential equations in presence of the AtanganaBaleanuCaputo derivative. Ullah et al [30,31] used the fuzzy Laplace transform along with Adomian decomposition method to find the general numerical solutions for population dynamical model and SwiftHohenberg equations in the fuzzy environment. Besides, the modified Adomian decomposition method was also constructed in [45] to study the solution of the fuzzy fractional Volterra-Fredholm integro-differential equation in the Caputo sense.…”
Section: Introductionmentioning
confidence: 99%
“…Abu Arqub et al [28,29] extended the reproducing kernel Hilbert space method in seeking the numerical solutions of FFDEs and fuzzy fractional Volterra and Fredholm integrodifferential equations in presence of the AtanganaBaleanuCaputo derivative. Ullah et al [30,31] used the fuzzy Laplace transform along with Adomian decomposition method to find the general numerical solutions for population dynamical model and SwiftHohenberg equations in the fuzzy environment. Besides, the modified Adomian decomposition method was also constructed in [45] to study the solution of the fuzzy fractional Volterra-Fredholm integro-differential equation in the Caputo sense.…”
Section: Introductionmentioning
confidence: 99%