Horrigue, Samah; Ouerdiane, Habib; Salhi, Imen Generalized fraction evolution equations with fractional Gross Laplacian. (English) Zbl 1351.60081 Fract. Calc. Appl. Anal. 19, No. 2, 394-407 (2016). MSC: 60H15 35R11 35R60 26A33 60H05 46F25 46G20 PDFBibTeX XMLCite \textit{S. Horrigue} et al., Fract. Calc. Appl. Anal. 19, No. 2, 394--407 (2016; Zbl 1351.60081) Full Text: DOI
Horrigue, Samah; Ouerdiane, Habib Quantum heat equation with quantum \(K\)-Gross Laplacian: solutions and integral representation. (English) Zbl 1211.81084 Ouerdiane, Habib (ed.) et al., Quantum probability and infinite dimensional analysis. Proceedings of the 29th conference, Hammamet, Tunisia, October 13–18, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4295-42-0/hbk; 978-981-4295-43-7/ebook). QP-PQ: Quantum Probability and White Noise Analysis 25, 185-202 (2010). Reviewer: Adam Skalski (Warszawa) MSC: 81S25 60H40 60H15 PDFBibTeX XMLCite \textit{S. Horrigue} and \textit{H. Ouerdiane}, in: Quantum probability and infinite dimensional analysis. Proceedings of the 29th conference, Hammamet, Tunisia, October 13--18, 2008. Hackensack, NJ: World Scientific. 185--202 (2010; Zbl 1211.81084)
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh Generalized Euler heat equation. (English) Zbl 1214.46024 Ouerdiane, Habib (ed.) et al., Quantum probability and infinite dimensional analysis. Proceedings of the 29th conference, Hammamet, Tunisia, October 13–18, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4295-42-0/hbk; 978-981-4295-43-7/ebook). QP-PQ: Quantum Probability and White Noise Analysis 25, 99-116 (2010). Reviewer: Adam Skalski (Warszawa) MSC: 46F25 60H15 60H40 PDFBibTeX XMLCite \textit{A. Barhoumi} et al., in: Quantum probability and infinite dimensional analysis. Proceedings of the 29th conference, Hammamet, Tunisia, October 13--18, 2008. Hackensack, NJ: World Scientific. 99--116 (2010; Zbl 1214.46024)
Horrigue, Samah; Ouerdiane, Habib Quantum Laplacian and applications. (English) Zbl 1206.60066 Acta Appl. Math. 110, No. 1, 215-226 (2010). Reviewer: Zagorka Lozanov-Crvenković (Novi Sad) MSC: 60H40 60H15 46F25 46G20 81S25 PDFBibTeX XMLCite \textit{S. Horrigue} and \textit{H. Ouerdiane}, Acta Appl. Math. 110, No. 1, 215--226 (2010; Zbl 1206.60066) Full Text: DOI arXiv
Horrigue, Samah; Ouerdiane, Habib Gross Laplacian acting on operators. (English) Zbl 1178.60050 Acta Appl. Math. 105, No. 2, 227-239 (2009). MSC: 60H40 60H15 46F25 46G20 81S25 PDFBibTeX XMLCite \textit{S. Horrigue} and \textit{H. Ouerdiane}, Acta Appl. Math. 105, No. 2, 227--239 (2009; Zbl 1178.60050) Full Text: DOI
Gheryani, Soumaya; Kuo, Hui-Hsiung; Ouerdiane, Habib Evolution equation associated with the power of the Gross Laplacian. (English) Zbl 1140.60333 Adv. Theor. Appl. Math. 2, No. 1, 41-50 (2007). MSC: 60H40 60H15 46F25 46G20 PDFBibTeX XMLCite \textit{S. Gheryani} et al., Adv. Theor. Appl. Math. 2, No. 1, 41--50 (2007; Zbl 1140.60333)
Chaari, S.; Cipriano, F.; Ouerdiane, H. Large deviation properties of solutions of nonlinear stochastic convolution equations. (English) Zbl 1140.60328 Adv. Theor. Appl. Math. 2, No. 1, 1-14 (2007). MSC: 60H15 60F10 60H40 46F25 PDFBibTeX XMLCite \textit{S. Chaari} et al., Adv. Theor. Appl. Math. 2, No. 1, 1--14 (2007; Zbl 1140.60328)
Cipriano, F.; Ouerdiane, H.; Silva, J. L.; Mendes, R. Vilela A nonlinear stochastic equation of convolution type. (English) Zbl 1130.60067 Cruzeiro, Ana Bela (ed.) et al., Mathematical analysis of random phenomena. Proceedings of the international conference, Hammamet, Tunisia, September 12–17, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-603-4/hbk). 73-84 (2007). Reviewer: George Stoica (Saint John) MSC: 60H15 60H40 PDFBibTeX XMLCite \textit{F. Cipriano} et al., in: Mathematical analysis of random phenomena. Proceedings of the international conference, Hammamet, Tunisia, September 12--17, 2005. Hackensack, NJ: World Scientific. 73--84 (2007; Zbl 1130.60067)
Ouerdiane, Habib; Da Silva, José Luis Tail estimates for positive solutions of stochastic heat equation. (English) Zbl 1125.60062 Stochastics 79, No. 5, 407-417 (2007). MSC: 60H15 60H40 60F10 46F25 46G20 PDFBibTeX XMLCite \textit{H. Ouerdiane} and \textit{J. L. Da Silva}, Stochastics 79, No. 5, 407--417 (2007; Zbl 1125.60062) Full Text: DOI
Barhoumi, Abdessatar; Kuo, Hui-Hsiung; Ouerdiane, Habib Generalized Gross heat equation with noises. (English) Zbl 1113.60066 Soochow J. Math. 32, No. 1, 113-125 (2006). Reviewer: D. R. Bell (Jacksonville) MSC: 60H40 60H15 46F25 46G20 PDFBibTeX XMLCite \textit{A. Barhoumi} et al., Soochow J. Math. 32, No. 1, 113--125 (2006; Zbl 1113.60066)
Erraoui, Mohamed; Ouerdiane, Habib; Ouknine, Youssef; Da Silva, Jose Luis Probabilistic representation of heat equation of convolution type. (English) Zbl 1119.60052 Random Oper. Stoch. Equ. 13, No. 4, 325-340 (2005). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60H15 35K05 35R60 PDFBibTeX XMLCite \textit{M. Erraoui} et al., Random Oper. Stoch. Equ. 13, No. 4, 325--340 (2005; Zbl 1119.60052) Full Text: DOI
Ouerdiane, Habib On the stochastic transport equation of convolution type. (English) Zbl 1085.60044 Albeverio, Sergio (ed.) et al., Recent developments in stochastic analysis and related topics. Proceedings of the first Sino-German conference on stochastic analysis (a satellite conference of ICM 2002), Beijing, China, 29 August – 3 September 2002. River Edge, NJ: World Scientific (ISBN 981-256-104-8/hbk). 384-398 (2004). Reviewer: Sabir R. Umarov (Albuquerque) MSC: 60H15 46F25 35D05 PDFBibTeX XMLCite \textit{H. Ouerdiane}, in: Recent developments in stochastic analysis and related topics. Proceedings of the first Sino-German conference on stochastic analysis (a satellite conference of ICM 2002), Beijing, China, 29 August -- 3 September 2002. River Edge, NJ: World Scientific. 384--398 (2004; Zbl 1085.60044)
Ouerdiane, Habib; Silva, José Luis On the heat equation with positive generalized stochastic process potential. (English) Zbl 1097.60054 Methods Funct. Anal. Topol. 10, No. 3, 54-63 (2004). Reviewer: A. N. Kochubei (Kyïv) MSC: 60H15 35R60 46F25 PDFBibTeX XMLCite \textit{H. Ouerdiane} and \textit{J. L. Silva}, Methods Funct. Anal. Topol. 10, No. 3, 54--63 (2004; Zbl 1097.60054)
Ouerdiane, Habib; Silva José Luis Generalized Feynman-Kac formula with stochastic potential. (English) Zbl 1056.60061 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 2, 243-255 (2002). Reviewer: Stanisław Wedrychowicz (Rzeszów) MSC: 60H15 35D05 35K05 35R60 46F25 PDFBibTeX XMLCite \textit{H. Ouerdiane} and \textit{Silva José Luis}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 2, 243--255 (2002; Zbl 1056.60061) Full Text: DOI
Ben Chrouda, Mohamed; El Oued, Mohamed; Ouerdiane, Habib Convolution calculus and applications to stochastic differential equations. (English) Zbl 1029.60055 Soochow J. Math. 28, No. 4, 375-388 (2002). Reviewer: Franco Fagnola (Genova) MSC: 60H40 60H15 46A32 46G20 46F25 PDFBibTeX XMLCite \textit{M. Ben Chrouda} et al., Soochow J. Math. 28, No. 4, 375--388 (2002; Zbl 1029.60055)
Ouerdiane, Habib Gaussian distributions and applications to stochastic partial differential equations. (Distributions gaussiennes et applications aux équations aux dérivées partielles stochastiques.) (French) Zbl 0974.60049 Albeverio, S. (ed.) et al., Mathematical physics and stochastic analysis. Essays in honour of Ludwig Streit. Conference to celebrate Ludwig Streit’s 60th birthday, Lisbon, Portugal, October 1998. Singapore: World Scientific. 318-331 (2000). Reviewer: Yu.S.Mishura (Kyïv) MSC: 60H40 60H15 35R60 60H30 PDFBibTeX XMLCite \textit{H. Ouerdiane}, in: Mathematical physics and stochastic analysis. Essays in honour of Ludwig Streit. Conference to celebrate Ludwig Streit's 60th birthday, Lisbon, Portugal, October 1998. Singapore: World Scientific. 318--331 (2000; Zbl 0974.60049)
Ouerdiane, H. Nuclear algebras of entire functions and stochastic partial differential equations. (Algebres nucléaires de fonctions entières et équations aux derivées partielles stochastiques.) (French) Zbl 0921.60036 Nagoya Math. J. 151, 107-127 (1998). Reviewer: T.Bojdecki (Warszawa) MSC: 60G20 46F25 60H15 PDFBibTeX XMLCite \textit{H. Ouerdiane}, Nagoya Math. J. 151, 107--127 (1998; Zbl 0921.60036) Full Text: DOI