Journal articles on the topic 'Fractional obstacle'
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Focardi, Matteo. "Aperiodic fractional obstacle problems." Advances in Mathematics 225, no. 6 (December 2010): 3502–44. http://dx.doi.org/10.1016/j.aim.2010.06.014.
Full textAllen, Mark, and Mariana Smit Vega Garcia. "The fractional unstable obstacle problem." Nonlinear Analysis 193 (April 2020): 111459. http://dx.doi.org/10.1016/j.na.2019.02.012.
Full textCaffarelli, Luis, and Antoine Mellet. "Random homogenization of fractional obstacle problems." Networks & Heterogeneous Media 3, no. 3 (2008): 523–54. http://dx.doi.org/10.3934/nhm.2008.3.523.
Full textAllen, Mark, Erik Lindgren, and Arshak Petrosyan. "The Two-Phase Fractional Obstacle Problem." SIAM Journal on Mathematical Analysis 47, no. 3 (January 2015): 1879–905. http://dx.doi.org/10.1137/140974195.
Full textBonder, Julián Fernández, Zhiwei Cheng, and Hayk Mikayelyan. "Fractional optimal maximization problem and the unstable fractional obstacle problem." Journal of Mathematical Analysis and Applications 495, no. 1 (March 2021): 124686. http://dx.doi.org/10.1016/j.jmaa.2020.124686.
Full textWen, Shuhuan, Xueheng Hu, Zhen Li, Hak Keung Lam, Fuchun Sun, and Bin Fang. "NAO robot obstacle avoidance based on fuzzy Q-learning." Industrial Robot: the international journal of robotics research and application 47, no. 6 (October 16, 2019): 801–11. http://dx.doi.org/10.1108/ir-01-2019-0002.
Full textJeon, S., and A. Petrosyan. "Almost minimizers for certain fractional variational problems." St. Petersburg Mathematical Journal 32, no. 4 (July 9, 2021): 729–51. http://dx.doi.org/10.1090/spmj/1667.
Full textMoreno Mérida, Lourdes, and Raúl Emilio Vidal. "The obstacle problem for the infinity fractional laplacian." Rendiconti del Circolo Matematico di Palermo Series 2 67, no. 1 (November 8, 2016): 7–15. http://dx.doi.org/10.1007/s12215-016-0286-2.
Full textDuhé, Jean-François, Stéphane Victor, Kendric Ruiz, and Pierre Melchior. "Study on obstacle avoidance for fractional artificial potential fields." IFAC-PapersOnLine 53, no. 2 (2020): 3725–30. http://dx.doi.org/10.1016/j.ifacol.2020.12.2059.
Full textBonafini, M., V. P. C. Le, M. Novaga, and G. Orlandi. "On the obstacle problem for fractional semilinear wave equations." Nonlinear Analysis 210 (September 2021): 112368. http://dx.doi.org/10.1016/j.na.2021.112368.
Full textOtárola, Enrique, and Abner J. Salgado. "Finite Element Approximation of the Parabolic Fractional Obstacle Problem." SIAM Journal on Numerical Analysis 54, no. 4 (January 2016): 2619–39. http://dx.doi.org/10.1137/15m1029801.
Full textFocardi, Matteo. "Homogenization of Random Fractional Obstacle Problems via Γ-Convergence." Communications in Partial Differential Equations 34, no. 12 (December 22, 2009): 1607–31. http://dx.doi.org/10.1080/03605300903300728.
Full textJhaveri, Yash, and Pablo Raúl Stinga. "The obstacle problem for a fractional Monge–Ampère equation." Communications in Partial Differential Equations 45, no. 6 (December 4, 2019): 457–82. http://dx.doi.org/10.1080/03605302.2019.1697885.
Full textBarrios, Begoña, Alessio Figalli, and Xavier Ros-Oton. "Free Boundary Regularity in the Parabolic Fractional Obstacle Problem." Communications on Pure and Applied Mathematics 71, no. 10 (March 7, 2018): 2129–59. http://dx.doi.org/10.1002/cpa.21745.
Full textNochetto, Ricardo H., Enrique Otárola, and Abner J. Salgado. "Convergence rates for the classical, thin and fractional elliptic obstacle problems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373, no. 2050 (September 13, 2015): 20140449. http://dx.doi.org/10.1098/rsta.2014.0449.
Full textReceveur, Jean-Baptiste, Stéphane Victor, and Pierre Melchior. "New interpretation of fractional potential fields for robust path planning." Fractional Calculus and Applied Analysis 22, no. 1 (February 25, 2019): 113–27. http://dx.doi.org/10.1515/fca-2019-0007.
Full textDuhé, Jean-François, Stéphane Victor, and Pierre Melchior. "Contributions on artificial potential field method for effective obstacle avoidance." Fractional Calculus and Applied Analysis 24, no. 2 (April 1, 2021): 421–46. http://dx.doi.org/10.1515/fca-2021-0019.
Full textBonder, Julián Fernández, Zhiwei Cheng, and Hayk Mikayelyan. "Optimal rearrangement problem and normalized obstacle problem in the fractional setting." Advances in Nonlinear Analysis 9, no. 1 (March 31, 2020): 1592–606. http://dx.doi.org/10.1515/anona-2020-0067.
Full textFernández-Real, Xavier, and Xavier Ros-Oton. "The obstacle problem for the fractional Laplacian with critical drift." Mathematische Annalen 371, no. 3-4 (September 30, 2017): 1683–735. http://dx.doi.org/10.1007/s00208-017-1600-9.
Full textGeraci, Francesco. "The classical obstacle problem with coefficients in fractional Sobolev spaces." Annali di Matematica Pura ed Applicata (1923 -) 197, no. 2 (September 14, 2017): 549–81. http://dx.doi.org/10.1007/s10231-017-0692-x.
Full textEberle, Simon, Xavier Ros-Oton, and Georg S. Weiss. "Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian." Nonlinear Analysis 211 (October 2021): 112473. http://dx.doi.org/10.1016/j.na.2021.112473.
Full textMotreanu, Dumitru, Van Thien Nguyen, and Shengda Zeng. "Existence of Solutions for Implicit Obstacle Problems of Fractional Laplacian Type Involving Set-Valued Operators." Journal of Optimization Theory and Applications 187, no. 2 (September 25, 2020): 391–407. http://dx.doi.org/10.1007/s10957-020-01752-4.
Full textKukuljan, Teo. "The fractional obstacle problem with drift: Higher regularity of free boundaries." Journal of Functional Analysis 281, no. 8 (October 2021): 109114. http://dx.doi.org/10.1016/j.jfa.2021.109114.
Full textAthanasopoulos, Ioannis, Luis Caffarelli, and Emmanouil Milakis. "On the regularity of the non-dynamic parabolic fractional obstacle problem." Journal of Differential Equations 265, no. 6 (September 2018): 2614–47. http://dx.doi.org/10.1016/j.jde.2018.04.043.
Full textLévi, Laurent, and Fabrice Peyroutet. "A Time-Fractional Step Method for Conservation Law Related Obstacle Problems." Advances in Applied Mathematics 27, no. 4 (November 2001): 768–89. http://dx.doi.org/10.1006/aama.2001.0760.
Full textNoor, Muhammad, Muhammad Rafiq, Salah-Ud-Din Khan, Muhammad Qureshi, Muhammad Kamran, Shahab-Ud-Din Khan, Faisal Saeed, and Hijaz Ahmad. "Analytical solutions to contact problem with fractional derivatives in the sense of Caputo." Thermal Science 24, Suppl. 1 (2020): 313–23. http://dx.doi.org/10.2298/tsci20313n.
Full textNoor, Muhammad, Muhammad Rafiq, Salah-Ud-Din Khan, Muhammad Qureshi, Muhammad Kamran, Shahab-Ud-Din Khan, Faisal Saeed, and Hijaz Ahmad. "Analytical solutions to contact problem with fractional derivatives in the sense of Caputo." Thermal Science 24, Suppl. 1 (2020): 313–23. http://dx.doi.org/10.2298/tsci20s1313n.
Full textJaveed, Shumaila, Dumitru Baleanu, Asif Waheed, Mansoor Shaukat Khan, and Hira Affan. "Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations." Mathematics 7, no. 1 (January 3, 2019): 40. http://dx.doi.org/10.3390/math7010040.
Full textRafiq, Muhammad, Muhammad Aslam Noor, Shabieh Farwa, Muhammad Kamran, Faisal Saeed, Khaled A. Gepreel, Shao-Wen Yao, and Hijaz Ahmad. "Series solution to fractional contact problem using Caputo’s derivative." Open Physics 19, no. 1 (January 1, 2021): 402–12. http://dx.doi.org/10.1515/phys-2021-0046.
Full textBonito, Andrea, Wenyu Lei, and Abner J. Salgado. "Finite element approximation of an obstacle problem for a class of integro–differential operators." ESAIM: Mathematical Modelling and Numerical Analysis 54, no. 1 (January 2020): 229–53. http://dx.doi.org/10.1051/m2an/2019058.
Full textKorvenpää, Janne, Tuomo Kuusi, and Giampiero Palatucci. "Hölder continuity up to the boundary for a class of fractional obstacle problems." Rendiconti Lincei - Matematica e Applicazioni 27, no. 3 (2016): 355–67. http://dx.doi.org/10.4171/rlm/739.
Full textRafiq, Muhammad, Muhammad Aslam Noor, Madeeha Tahir, Muhammad Kamran, Muhammad Amer Qureshi, and Shabieh Farwa. "Efficient analytical approach to solve system of BVPs associated with fractional obstacle problem." AIP Advances 9, no. 9 (September 2019): 095007. http://dx.doi.org/10.1063/1.5111900.
Full textSilvestre, Luis. "Regularity of the obstacle problem for a fractional power of the laplace operator." Communications on Pure and Applied Mathematics 60, no. 1 (2006): 67–112. http://dx.doi.org/10.1002/cpa.20153.
Full textCheng, Zhiwei. "Corrigendum to: “Fractional optimal maximization problem and the unstable fractional obstacle problem” [J. Math. Anal. Appl. 495 (1) (2021) 124686]." Journal of Mathematical Analysis and Applications 510, no. 1 (June 2022): 126014. http://dx.doi.org/10.1016/j.jmaa.2022.126014.
Full textZigic, Miodrag, and Nenad Grahovac. "Application of Fractional Calculus to Frontal Crash Modeling." Mathematical Problems in Engineering 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/7419602.
Full textBarrios, Begoña, Alessio Figalli, and Xavier Ros-Oton. "Global regularity for the free boundary in the obstacle problem for the fractional Laplacian." American Journal of Mathematics 140, no. 2 (2018): 415–47. http://dx.doi.org/10.1353/ajm.2018.0010.
Full textWaheed, Asif, Syed Tauseef Mohyud-Din, and Iqra Naz. "On analytical solution of system of nonlinear fractional boundary value problems associated with obstacle." Journal of Ocean Engineering and Science 3, no. 1 (March 2018): 49–55. http://dx.doi.org/10.1016/j.joes.2017.12.001.
Full textPetrosyan, Arshak, and Camelia A. Pop. "Optimal regularity of solutions to the obstacle problem for the fractional Laplacian with drift." Journal of Functional Analysis 268, no. 2 (January 2015): 417–72. http://dx.doi.org/10.1016/j.jfa.2014.10.009.
Full textJhaveri, Yash, and Robin Neumayer. "Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian." Advances in Mathematics 311 (April 2017): 748–95. http://dx.doi.org/10.1016/j.aim.2017.03.006.
Full textSun, HongGuang, Wen Chen, and K. Y. Sze. "A semi-discrete finite element method for a class of time-fractional diffusion equations." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1990 (May 13, 2013): 20120268. http://dx.doi.org/10.1098/rsta.2012.0268.
Full textPiccinini, Mirco. "The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group." Nonlinear Analysis 222 (September 2022): 112966. http://dx.doi.org/10.1016/j.na.2022.112966.
Full textGarofalo, Nicola, Arshak Petrosyan, Camelia A. Pop, and Mariana Smit Vega Garcia. "Regularity of the free boundary for the obstacle problem for the fractional Laplacian with drift." Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34, no. 3 (May 2017): 533–70. http://dx.doi.org/10.1016/j.anihpc.2016.03.001.
Full textGarofalo, Nicola, and Xavier Ros-Oton. "Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian." Revista Matemática Iberoamericana 35, no. 5 (June 4, 2019): 1309–65. http://dx.doi.org/10.4171/rmi/1087.
Full textZhang, Y. P., Y. M. Chen, J. K. Liu, and G. Meng. "Highly Accurate Solution of Limit Cycle Oscillation of an Airfoil in Subsonic Flow." Advances in Acoustics and Vibration 2011 (June 23, 2011): 1–10. http://dx.doi.org/10.1155/2011/926271.
Full textBorthagaray, Juan Pablo, Ricardo H. Nochetto, and Abner J. Salgado. "Weighted Sobolev regularity and rate of approximation of the obstacle problem for the integral fractional Laplacian." Mathematical Models and Methods in Applied Sciences 29, no. 14 (December 19, 2019): 2679–717. http://dx.doi.org/10.1142/s021820251950057x.
Full textBanerjee, A., D. Danielli, N. Garofalo, and A. Petrosyan. "The regular free boundary in the thin obstacle problem for degenerate parabolic equations." St. Petersburg Mathematical Journal 32, no. 3 (May 11, 2021): 449–80. http://dx.doi.org/10.1090/spmj/1656.
Full textTantiparimongkol, Lalida, and Pattarapong Phasukkit. "IR-UWB Pulse Generation Using FPGA Scheme for through Obstacle Human Detection." Sensors 20, no. 13 (July 4, 2020): 3750. http://dx.doi.org/10.3390/s20133750.
Full textCaffarelli, Luis A., Sandro Salsa, and Luis Silvestre. "Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian." Inventiones mathematicae 171, no. 2 (October 27, 2007): 425–61. http://dx.doi.org/10.1007/s00222-007-0086-6.
Full textFernández-Real, Xavier, and Xavier Ros-Oton. "Free Boundary Regularity for Almost Every Solution to the Signorini Problem." Archive for Rational Mechanics and Analysis 240, no. 1 (February 11, 2021): 419–66. http://dx.doi.org/10.1007/s00205-021-01617-8.
Full textColli, Pierluigi, Gianni Gilardi, and Jürgen Sprekels. "Deep quench approximation and optimal control of general Cahn–Hilliard systems with fractional operators and double obstacle potentials." Discrete & Continuous Dynamical Systems - S 14, no. 1 (2021): 243–71. http://dx.doi.org/10.3934/dcdss.2020213.
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