Solving random fractional second-order linear equations via the mean square Laplace transform: Theory and statistical computing
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DOI: 10.1016/j.amc.2021.126846
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- Burgos, C. & Cortés, J.-C. & Debbouche, A. & Villafuerte, L. & Villanueva, R.-J., 2019. "Random fractional generalized Airy differential equations: A probabilistic analysis using mean square calculus," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 15-29.
- Acedo, L. & Burgos, C. & Cortés, J.-C. & Villanueva, R.-J., 2017. "Probabilistic prediction of outbreaks of meningococcus W-135 infections over the next few years in Spain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 106-117.
- A. A. Hemeda, 2013. "Solution of Fractional Partial Differential Equations in Fluid Mechanics by Extension of Some Iterative Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, December.
- Corina D. Constantinescu & Jorge M. Ramirez & Wei R. Zhu, 2019. "An application of fractional differential equations to risk theory," Finance and Stochastics, Springer, vol. 23(4), pages 1001-1024, October.
- Burgos, C. & Cortés, J.-C. & Villafuerte, L. & Villanueva, R.-J., 2017. "Extending the deterministic Riemann–Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 305-318.
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- Villafuerte, L., 2023. "Solution processes for second-order linear fractional differential equations with random inhomogeneous parts," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 17-48.
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Keywords
Random fractional differential equations; Random mean square calculus; Principle of maximum entropy; Mean square Laplace transform;All these keywords.
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