Growth moment, stability and asymptotic behaviours of solution to a class of time-fractal-fractional stochastic differential equation
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DOI: 10.1016/j.chaos.2021.110958
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References listed on IDEAS
- Mijena, Jebessa B. & Nane, Erkan, 2015. "Space–time fractional stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 125(9), pages 3301-3326.
- Jing Shao & Fanwei Meng, 2013. "Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, August.
- ARAZ, Seda İĞRET, 2020. "Numerical analysis of a new volterra integro-differential equation involving fractal-fractional operators," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
- Atangana, Abdon, 2017. "Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 396-406.
- Nane, Erkan & Nwaeze, Eze R. & Omaba, McSylvester Ejighikeme, 2020. "Asymptotic behaviour of solution and non-existence of global solution to a class of conformable time-fractional stochastic equation," Statistics & Probability Letters, Elsevier, vol. 163(C).
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Fractal-fractional operators; Moment estimates; Growth bounds; Existence and uniqueness;All these keywords.
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