Guerngar, Ngartelbaye; Nane, Erkan; Ulusoy, Suleyman; van Wyk, Hans Werner A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion. (English) Zbl 07818964 Fract. Differ. Calc. 13, No. 1, 87-104 (2023). MSC: 35C10 35R11 35R25 35R30 PDFBibTeX XMLCite \textit{N. Guerngar} et al., Fract. Differ. Calc. 13, No. 1, 87--104 (2023; Zbl 07818964) Full Text: DOI arXiv
Wang, Renhai; Nane, Erkan; Tuan, Nguyen Huy Evolution systems of probability measures for nonautonomous Klein-Gordon Itô equations on \(\mathbb{Z}^N\). (English) Zbl 07793998 Bull. Sci. Math. 189, Article ID 103348, 31 p. (2023). MSC: 60H15 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{R. Wang} et al., Bull. Sci. Math. 189, Article ID 103348, 31 p. (2023; Zbl 07793998) Full Text: DOI
Ngoc Tran Bao; Nane, Erkan; Nguyen Huy Tuan On a terminal value problem for stochastic space-time fractional wave equations. (English) Zbl 07781177 Math. Methods Appl. Sci. 46, No. 1, 1206-1226 (2023). MSC: 60G15 60G22 60G52 60G57 PDFBibTeX XMLCite \textit{Ngoc Tran Bao} et al., Math. Methods Appl. Sci. 46, No. 1, 1206--1226 (2023; Zbl 07781177) Full Text: DOI
Mijena, Jebessa B.; Nane, Erkan; Negash, Alemayehu G. Level of noises and long time behavior of the solution for space-time fractional SPDE in bounded domains. (English) Zbl 07765951 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2559-2588 (2023). Reviewer: Martin Ondreját (Praha) MSC: 60H15 PDFBibTeX XMLCite \textit{J. B. Mijena} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2559--2588 (2023; Zbl 07765951) Full Text: DOI arXiv
Guerngar, Ngartelbaye; Nane, Erkan; Tinaztepe, Ramazan; Ulusoy, Suleyman; Van Wyk, Hans Werner Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation \(\partial_t^\beta u = -(-\Delta)^{\alpha /2}u -(-\Delta)^{\gamma /2}u\). (English) Zbl 1498.35572 Fract. Calc. Appl. Anal. 24, No. 3, 818-847 (2021). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{N. Guerngar} et al., Fract. Calc. Appl. Anal. 24, No. 3, 818--847 (2021; Zbl 1498.35572) Full Text: DOI arXiv
Guerngar, Ngartelbaye; Nane, Erkan Moment bounds of a class of stochastic heat equations driven by space-time colored noise in bounded domains. (English) Zbl 1455.60083 Stochastic Processes Appl. 130, No. 10, 6246-6270 (2020). MSC: 60H15 35R11 35R60 60G22 PDFBibTeX XMLCite \textit{N. Guerngar} and \textit{E. Nane}, Stochastic Processes Appl. 130, No. 10, 6246--6270 (2020; Zbl 1455.60083) Full Text: DOI arXiv
Asogwa, Sunday A.; Mijena, Jebessa B.; Nane, Erkan Blow-up results for space-time fractional stochastic partial differential equations. (English) Zbl 1453.60113 Potential Anal. 53, No. 2, 357-386 (2020). MSC: 60H15 35B44 35R11 35R60 35K57 PDFBibTeX XMLCite \textit{S. A. Asogwa} et al., Potential Anal. 53, No. 2, 357--386 (2020; Zbl 1453.60113) Full Text: DOI arXiv
Asogwa, Sunday A.; Foondun, Mohammud; Mijena, Jebessa B.; Nane, Erkan Critical parameters for reaction-diffusion equations involving space-time fractional derivatives. (English) Zbl 1442.35207 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 3, Paper No. 30, 22 p. (2020). MSC: 35K57 35R11 35B44 35B33 PDFBibTeX XMLCite \textit{S. A. Asogwa} et al., NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 3, Paper No. 30, 22 p. (2020; Zbl 1442.35207) Full Text: DOI arXiv
Meng, Xiangqian; Nane, Erkan Space-time fractional stochastic partial differential equations with Lévy noise. (English) Zbl 1460.60066 Fract. Calc. Appl. Anal. 23, No. 1, 224-249 (2020). Reviewer: Isamu Dôku (Saitama) MSC: 60H15 35R60 60H40 PDFBibTeX XMLCite \textit{X. Meng} and \textit{E. Nane}, Fract. Calc. Appl. Anal. 23, No. 1, 224--249 (2020; Zbl 1460.60066) Full Text: DOI arXiv
Foondun, Mohammud; Liu, Wei; Nane, Erkan Some non-existence results for a class of stochastic partial differential equations. (English) Zbl 1420.35480 J. Differ. Equations 266, No. 5, 2575-2596 (2019). MSC: 35R60 60H15 PDFBibTeX XMLCite \textit{M. Foondun} et al., J. Differ. Equations 266, No. 5, 2575--2596 (2019; Zbl 1420.35480) Full Text: DOI arXiv Link
Dang, Duc Trong; Nane, Erkan; Nguyen, Dang Minh; Tuan, Nguyen Huy Continuity of solutions of a class of fractional equations. (English) Zbl 1407.35205 Potential Anal. 49, No. 3, 423-478 (2018). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 35R11 45K05 47G20 35K92 PDFBibTeX XMLCite \textit{D. T. Dang} et al., Potential Anal. 49, No. 3, 423--478 (2018; Zbl 1407.35205) Full Text: DOI arXiv
Nane, Erkan; Tuan, Nguyen Huy Approximate solutions of inverse problems for nonlinear space fractional diffusion equations with randomly perturbed data. (English) Zbl 1384.35146 SIAM/ASA J. Uncertain. Quantif. 6, 302-338 (2018). MSC: 35R30 35R11 65N21 PDFBibTeX XMLCite \textit{E. Nane} and \textit{N. H. Tuan}, SIAM/ASA J. Uncertain. Quantif. 6, 302--338 (2018; Zbl 1384.35146) Full Text: DOI arXiv
Foondun, Mohammud; Guerngar, Ngartelbaye; Nane, Erkan Some properties of non-linear fractional stochastic heat equations on bounded domains. (English) Zbl 1374.60116 Chaos Solitons Fractals 102, 86-93 (2017). MSC: 60H15 35R60 35R11 PDFBibTeX XMLCite \textit{M. Foondun} et al., Chaos Solitons Fractals 102, 86--93 (2017; Zbl 1374.60116) Full Text: DOI arXiv Link
Foondun, Mohammud; Nane, Erkan Asymptotic properties of some space-time fractional stochastic equations. (English) Zbl 1378.60090 Math. Z. 287, No. 1-2, 493-519 (2017). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{M. Foondun} and \textit{E. Nane}, Math. Z. 287, No. 1--2, 493--519 (2017; Zbl 1378.60090) Full Text: DOI arXiv Link
Asogwa, Sunday A.; Nane, Erkan Intermittency fronts for space-time fractional stochastic partial differential equations in \((d + 1)\) dimensions. (English) Zbl 1375.60105 Stochastic Processes Appl. 127, No. 4, 1354-1374 (2017). MSC: 60H15 35R11 35R60 PDFBibTeX XMLCite \textit{S. A. Asogwa} and \textit{E. Nane}, Stochastic Processes Appl. 127, No. 4, 1354--1374 (2017; Zbl 1375.60105) Full Text: DOI arXiv
Çenesiz, Yücel; Kurt, Ali; Nane, Erkan Stochastic solutions of conformable fractional Cauchy problems. (English) Zbl 1417.35218 Stat. Probab. Lett. 124, 126-131 (2017). MSC: 35R11 35R60 60H30 PDFBibTeX XMLCite \textit{Y. Çenesiz} et al., Stat. Probab. Lett. 124, 126--131 (2017; Zbl 1417.35218) Full Text: DOI arXiv
Foondun, Mohammud; Mijena, Jebessa B.; Nane, Erkan Non-linear noise excitation for some space-time fractional stochastic equations in bounded domains. (English) Zbl 1355.60084 Fract. Calc. Appl. Anal. 19, No. 6, 1527-1553 (2016). MSC: 60H15 35R60 26A33 PDFBibTeX XMLCite \textit{M. Foondun} et al., Fract. Calc. Appl. Anal. 19, No. 6, 1527--1553 (2016; Zbl 1355.60084) Full Text: DOI arXiv
Mijena, Jebessa B.; Nane, Erkan Intermittence and space-time fractional stochastic partial differential equations. (English) Zbl 1341.60063 Potential Anal. 44, No. 2, 295-312 (2016). Reviewer: Dominique Lepingle (Orléans) MSC: 60H15 26A33 PDFBibTeX XMLCite \textit{J. B. Mijena} and \textit{E. Nane}, Potential Anal. 44, No. 2, 295--312 (2016; Zbl 1341.60063) Full Text: DOI arXiv
Chen, Zhen-Qing; Meerschaert, Mark M.; Nane, Erkan Space-time fractional diffusion on bounded domains. (English) Zbl 1251.35177 J. Math. Anal. Appl. 393, No. 2, 479-488 (2012). MSC: 35R11 60H15 35D35 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., J. Math. Anal. Appl. 393, No. 2, 479--488 (2012; Zbl 1251.35177) Full Text: DOI arXiv
Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. Distributed-order fractional diffusions on bounded domains. (English) Zbl 1222.35204 J. Math. Anal. Appl. 379, No. 1, 216-228 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 35R11 35C05 35D35 PDFBibTeX XMLCite \textit{M. M. Meerschaert} et al., J. Math. Anal. Appl. 379, No. 1, 216--228 (2011; Zbl 1222.35204) Full Text: DOI arXiv