Dȩbicki, Krzysztof; Jasnovidov, Grigori Extremes of reflecting Gaussian processes on discrete grid. (English) Zbl 07782573 J. Math. Anal. Appl. 532, No. 1, Article ID 127952, 25 p. (2024). MSC: 60Gxx 60Fxx 26Axx PDFBibTeX XMLCite \textit{K. Dȩbicki} and \textit{G. Jasnovidov}, J. Math. Anal. Appl. 532, No. 1, Article ID 127952, 25 p. (2024; Zbl 07782573) Full Text: DOI arXiv
Anastassiou, George A.; Kouloumpou, Dimitra Brownian motion approximation by parametrized and deformed neural networks. (English) Zbl 1525.41009 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 14, 27 p. (2024). MSC: 41A30 26A33 41A17 60G15 60G22 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{D. Kouloumpou}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 14, 27 p. (2024; Zbl 1525.41009) Full Text: DOI
Nasiri, T.; Zakeri, A.; Aminataei, A. A numerical solution for a quasi solution of the time-fractional stochastic backward parabolic equation. (English) Zbl 1527.65088 J. Comput. Appl. Math. 437, Article ID 115441, 20 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65M32 65M30 65M06 65T60 65K10 65J20 65F22 65M12 65M15 60G22 35A15 41A50 35A01 35A02 35R30 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{T. Nasiri} et al., J. Comput. Appl. Math. 437, Article ID 115441, 20 p. (2024; Zbl 1527.65088) Full Text: DOI
Bouafia, Philippe; De Pauw, Thierry A regularity property of fractional Brownian sheets. arXiv:2401.15427 Preprint, arXiv:2401.15427 [math.PR] (2024). MSC: 60G22 60G17 26A45 BibTeX Cite \textit{P. Bouafia} and \textit{T. De Pauw}, ``A regularity property of fractional Brownian sheets'', Preprint, arXiv:2401.15427 [math.PR] (2024) Full Text: arXiv OA License
Nagargoje, A. D.; Borkar, V. C.; Muneshwar, R. A. Existence and uniqueness of square-mean pseudo almost automorphic solution for fractional stochastic evolution equations driven by G-Brownian motion. (English) Zbl 07793700 J. Appl. Math. Inform. 41, No. 5, 923-935 (2023). MSC: 26A33 34A12 60H20 60H10 PDFBibTeX XMLCite \textit{A. D. Nagargoje} et al., J. Appl. Math. Inform. 41, No. 5, 923--935 (2023; Zbl 07793700) Full Text: DOI
Catuogno, Pedro; Lima, Lourival; Ruffino, Paulo Geometric aspects of Young integral: decomposition of flows. (English) Zbl 07792677 Mediterr. J. Math. 20, No. 6, Paper No. 335, 20 p. (2023). MSC: 60H10 60L90 26A16 34F05 60G22 PDFBibTeX XMLCite \textit{P. Catuogno} et al., Mediterr. J. Math. 20, No. 6, Paper No. 335, 20 p. (2023; Zbl 07792677) Full Text: DOI arXiv
Ahmed, Hamdy M.; Ahmed, A. M. Sayed; Ragusa, Maria Alessandra On some non-instantaneous impulsive differential equations with fractional Brownian motion and poisson jumps. (English) Zbl 07792011 TWMS J. Pure Appl. Math. 14, No. 1, 125-140 (2023). MSC: 34A08 26A33 34A12 PDFBibTeX XMLCite \textit{H. M. Ahmed} et al., TWMS J. Pure Appl. Math. 14, No. 1, 125--140 (2023; Zbl 07792011) Full Text: Link
Liu, Xinfei; Yang, Xiaoyuan Conforming finite element method for the time-fractional nonlinear stochastic fourth-order reaction diffusion equation. (English) Zbl 07777373 Numer. Methods Partial Differ. Equations 39, No. 5, 3657-3676 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 33E12 60J65 60G55 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{X. Liu} and \textit{X. Yang}, Numer. Methods Partial Differ. Equations 39, No. 5, 3657--3676 (2023; Zbl 07777373) Full Text: DOI
Alnafisah, Yousef; Ahmed, Hamdy M. Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump. (English) Zbl 07773905 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2347-2368 (2023). MSC: 93B05 26A33 93C10 60H10 60G22 PDFBibTeX XMLCite \textit{Y. Alnafisah} and \textit{H. M. Ahmed}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2347--2368 (2023; Zbl 07773905) Full Text: DOI
Dipierro, Serena; Lippi, Edoardo Proietti; Valdinoci, Enrico (Non)local logistic equations with Neumann conditions. (English) Zbl 1527.35436 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 5, 1093-1166 (2023). MSC: 35Q92 92D25 92B05 26A33 35R11 60G22 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 5, 1093--1166 (2023; Zbl 1527.35436) Full Text: DOI arXiv
Dipierro, Serena; Giacomin, Giovanni; Valdinoci, Enrico Analysis of the Lévy flight foraging hypothesis in \(\mathbb{R}^n\) and unreliability of the most rewarding strategies. (English) Zbl 1527.35435 SIAM J. Appl. Math. 83, No. 5, 1935-1968 (2023). MSC: 35Q92 92D25 92B05 60G51 60J65 46N60 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{S. Dipierro} et al., SIAM J. Appl. Math. 83, No. 5, 1935--1968 (2023; Zbl 1527.35435) Full Text: DOI
Torres, Soledad; Viitasaari, Lauri Stochastic differential equations with discontinuous diffusion coefficients. (English) Zbl 07748864 Theory Probab. Math. Stat. 109, 159-175 (2023). MSC: 60H10 60H05 60G22 26A33 PDFBibTeX XMLCite \textit{S. Torres} and \textit{L. Viitasaari}, Theory Probab. Math. Stat. 109, 159--175 (2023; Zbl 07748864) Full Text: DOI arXiv
Chowdhury, Indranil; Ersland, Olav; Jakobsen, Espen R. On numerical approximations of fractional and nonlocal mean field games. (English) Zbl 1527.35428 Found. Comput. Math. 23, No. 4, 1381-1431 (2023). MSC: 35Q89 35Q84 91A16 47G20 49L12 49L25 45K05 35K61 35F21 65M12 65M22 93B52 93C20 60J65 60G55 26A33 35R11 35R06 PDFBibTeX XMLCite \textit{I. Chowdhury} et al., Found. Comput. Math. 23, No. 4, 1381--1431 (2023; Zbl 1527.35428) Full Text: DOI arXiv
Tuan, Nguyen Huy; Caraballo, Tomás; Thach, Tran Ngoc Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise. (English) Zbl 07702115 Asymptotic Anal. 133, No. 1-2, 227-254 (2023). MSC: 35Q99 35A01 35A02 35B65 60J65 60H40 26A33 35R11 35R07 35R60 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Asymptotic Anal. 133, No. 1--2, 227--254 (2023; Zbl 07702115) Full Text: DOI
Mohammed, Wael W.; Al-Askar, Farah M.; El-Morshedy, Mahmoud Impacts of Brownian motion and fractional derivative on the solutions of the stochastic fractional Davey-Stewartson equations. (English) Zbl 1517.35190 Demonstr. Math. 56, Article ID 20220233, 12 p. (2023). MSC: 35Q51 76B15 60H10 60H15 60J65 60G22 35A20 35C08 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{W. W. Mohammed} et al., Demonstr. Math. 56, Article ID 20220233, 12 p. (2023; Zbl 1517.35190) Full Text: DOI
Ghaemi, Mohammad Bagher; Mottaghi, Fatemeh; Saadati, Reza; Allahviranloo, Tofigh \(\alpha\)-Whittaker controllability of \(\vartheta\)-Hilfer fractional stochastic evolution equations driven by fractional Brownian motion. (English) Zbl 07700518 Comput. Appl. Math. 42, No. 5, Paper No. 211, 12 p. (2023). MSC: 60H15 60G22 60H20 26A33 PDFBibTeX XMLCite \textit{M. B. Ghaemi} et al., Comput. Appl. Math. 42, No. 5, Paper No. 211, 12 p. (2023; Zbl 07700518) Full Text: DOI
Li, Shengyue; Cao, Wanrong On spectral Petrov-Galerkin method for solving optimal control problem governed by fractional diffusion equations with fractional noise. (English) Zbl 07698826 J. Sci. Comput. 94, No. 3, Paper No. 62, 31 p. (2023). MSC: 65Nxx 44Axx 26Axx PDFBibTeX XMLCite \textit{S. Li} and \textit{W. Cao}, J. Sci. Comput. 94, No. 3, Paper No. 62, 31 p. (2023; Zbl 07698826) Full Text: DOI
Kern, Peter; Lage, Svenja On self-similar Bernstein functions and corresponding generalized fractional derivatives. (English) Zbl 1525.60055 J. Theor. Probab. 36, No. 1, 348-371 (2023). MSC: 60G51 60E07 60E10 26A33 35R11 60G22 60G52 PDFBibTeX XMLCite \textit{P. Kern} and \textit{S. Lage}, J. Theor. Probab. 36, No. 1, 348--371 (2023; Zbl 1525.60055) Full Text: DOI arXiv
Fareed, Aisha F.; Elbarawy, Menna T. M.; Semary, Mourad S. Fractional discrete Temimi-Ansari method with singular and nonsingular operators: applications to electrical circuits. (English) Zbl 07644553 Adv. Contin. Discrete Models 2023, Paper No. 5, 17 p. (2023). MSC: 65C30 65L12 26A33 35R11 PDFBibTeX XMLCite \textit{A. F. Fareed} et al., Adv. Contin. Discrete Models 2023, Paper No. 5, 17 p. (2023; Zbl 07644553) Full Text: DOI
Ogawa, Shigeyoshi Correction to: “Mean value theorems for the noncausal stochastic integral”. (English) Zbl 1503.60064 Japan J. Ind. Appl. Math. 40, No. 1, 755-756 (2023). MSC: 60H05 60H99 60J65 26A33 PDFBibTeX XMLCite \textit{S. Ogawa}, Japan J. Ind. Appl. Math. 40, No. 1, 755--756 (2023; Zbl 1503.60064) Full Text: DOI
Alegría, Francisco; Poblete, Verónica; Pozo, Juan C. Nonlocal in-time telegraph equation and telegraph processes with random time. (English) Zbl 1505.35346 J. Differ. Equations 347, 310-347 (2023). MSC: 35R11 35R60 26A33 45D05 60G22 60H15 60H20 PDFBibTeX XMLCite \textit{F. Alegría} et al., J. Differ. Equations 347, 310--347 (2023; Zbl 1505.35346) Full Text: DOI
Evangelista, Luiz Roberto; Kaminski Lenzi, Ervin An introduction to anomalous diffusion and relaxation. (English) Zbl 1515.60011 PoliTO Springer Series. Cham: Springer (ISBN 978-3-031-18149-8/hbk; 978-3-031-18152-8/pbk; 978-3-031-18150-4/ebook). xx, 400 p (2023). MSC: 60-02 60K50 60G22 26A33 35R11 PDFBibTeX XMLCite \textit{L. R. Evangelista} and \textit{E. Kaminski Lenzi}, An introduction to anomalous diffusion and relaxation. Cham: Springer (2023; Zbl 1515.60011) Full Text: DOI
Tuan, Nguyen Huy; Phuong, Nguyen Duc; Thach, Tran Ngoc New well-posedness results for stochastic delay Rayleigh-Stokes equations. (English) Zbl 1509.35361 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 347-358 (2023). MSC: 35R11 26A33 35B40 35R60 35M11 60H15 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 347--358 (2023; Zbl 1509.35361) Full Text: DOI
Hainaut, Donatien Pricing of spread and exchange options in a rough jump-diffusion market. (English) Zbl 1500.91135 J. Comput. Appl. Math. 419, Article ID 114752, 24 p. (2023). MSC: 91G20 26A33 PDFBibTeX XMLCite \textit{D. Hainaut}, J. Comput. Appl. Math. 419, Article ID 114752, 24 p. (2023; Zbl 1500.91135) Full Text: DOI
Beghin, Luisa; Cristofaro, Lorenzo; Mishura, Yuliya A class of infinite-dimensional Gaussian processes defined through generalized fractional operators. arXiv:2309.13283 Preprint, arXiv:2309.13283 [math.PR] (2023). MSC: 60G15 26A33 60H40 60G22 BibTeX Cite \textit{L. Beghin} et al., ``A class of infinite-dimensional Gaussian processes defined through generalized fractional operators'', Preprint, arXiv:2309.13283 [math.PR] (2023) Full Text: arXiv OA License
Garino, Valentin; Viitasaari, Lauri Discretisation error for stochastic integrals with respect to the fractional Brownian motion with discontinuous integrands and local times. arXiv:2305.04733 Preprint, arXiv:2305.04733 [math.PR] (2023). MSC: 60G15 60G22 60H05 26A33 BibTeX Cite \textit{V. Garino} and \textit{L. Viitasaari}, ``Discretisation error for stochastic integrals with respect to the fractional Brownian motion with discontinuous integrands and local times'', Preprint, arXiv:2305.04733 [math.PR] (2023) Full Text: arXiv OA License
Esser, Céline; Loosveldt, Laurent On the pointwise regularity of the Multifractional Brownian Motion and some extensions. arXiv:2302.06422 Preprint, arXiv:2302.06422 [math.PR] (2023). MSC: 60G22 60G17 26A15 42C40 BibTeX Cite \textit{C. Esser} and \textit{L. Loosveldt}, ``On the pointwise regularity of the Multifractional Brownian Motion and some extensions'', Preprint, arXiv:2302.06422 [math.PR] (2023) Full Text: arXiv OA License
Mirzaee, Farshid; Rezaei, Shadi; Samadyar, Nasrin Solution of time-fractional stochastic nonlinear sine-Gordon equation via finite difference and meshfree techniques. (English) Zbl 07780602 Math. Methods Appl. Sci. 45, No. 7, 3426-3438 (2022). MSC: 65M06 65N35 65D12 60H15 60G22 60J65 26A33 35R11 35R60 35Q53 PDFBibTeX XMLCite \textit{F. Mirzaee} et al., Math. Methods Appl. Sci. 45, No. 7, 3426--3438 (2022; Zbl 07780602) Full Text: DOI
Khudhair, Hatim K.; Zhang, Yanzhi; Fukawa, Nobuyuki Pattern selection in the Schnakenberg equations: from normal to anomalous diffusion. (English) Zbl 07779681 Numer. Methods Partial Differ. Equations 38, No. 6, 1843-1860 (2022). MSC: 65M70 65M06 65N35 80A30 60K50 60J65 35B35 35B32 35B36 35J05 26A33 35R11 PDFBibTeX XMLCite \textit{H. K. Khudhair} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1843--1860 (2022; Zbl 07779681) Full Text: DOI arXiv
Malyarenko, A.; Mishura, Yu. S.; Rudyk, Y. A. O. Approximation of fractional integrals of Hölder functions. (English) Zbl 07709362 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2022, No. 4, 18-25 (2022). MSC: 60H05 26A33 60G22 PDFBibTeX XMLCite \textit{A. Malyarenko} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2022, No. 4, 18--25 (2022; Zbl 07709362) Full Text: DOI
Yin, Xiuwei; Xiang, Jie A class of stochastic functional differential equations with conformable derivative. (English) Zbl 1515.60226 Chin. J. Appl. Probab. Stat. 38, No. 5, 693-705 (2022). MSC: 60H10 60G22 26A33 PDFBibTeX XMLCite \textit{X. Yin} and \textit{J. Xiang}, Chin. J. Appl. Probab. Stat. 38, No. 5, 693--705 (2022; Zbl 1515.60226) Full Text: Link
Bouin, Émeric; Mouhot, Clément Quantitative fluid approximation in transport theory: a unified approach. (English) Zbl 1511.35348 Probab. Math. Phys. 3, No. 3, 491-542 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q84 35Q35 76P05 82C40 82C70 82D05 26A33 35A23 35R11 45A05 60K50 35P25 60G51 60J65 PDFBibTeX XMLCite \textit{É. Bouin} and \textit{C. Mouhot}, Probab. Math. Phys. 3, No. 3, 491--542 (2022; Zbl 1511.35348) Full Text: DOI arXiv
Rashid, Saima; Ashraf, Rehana; Asif, Qurat-Ul-Ain; Jarad, Fahd Novel stochastic dynamics of a fractal-fractional immune effector response to viral infection via latently infectious tissues. (English) Zbl 1510.92065 Math. Biosci. Eng. 19, No. 11, 11563-11594 (2022). MSC: 92C32 26A33 28A80 60J70 PDFBibTeX XMLCite \textit{S. Rashid} et al., Math. Biosci. Eng. 19, No. 11, 11563--11594 (2022; Zbl 1510.92065) Full Text: DOI
Sepehrian, B.; Shamohammadi, Z. Solution of the Liouville-Caputo time- and Riesz space-fractional Fokker-Planck equation via radial basis functions. (English) Zbl 1508.65146 Asian-Eur. J. Math. 15, No. 11, Article ID 2250195, 20 p. (2022). MSC: 65M70 65M06 65N35 65D12 35G16 60J65 26A33 35R11 35Q84 PDFBibTeX XMLCite \textit{B. Sepehrian} and \textit{Z. Shamohammadi}, Asian-Eur. J. Math. 15, No. 11, Article ID 2250195, 20 p. (2022; Zbl 1508.65146) Full Text: DOI
El-Beltagy, Mohamed; Etman, Ahmed; Maged, Sroor Development of a fractional Wiener-Hermite expansion for analyzing the fractional stochastic models. (English) Zbl 1506.60044 Chaos Solitons Fractals 156, Article ID 111847, 11 p. (2022). MSC: 60G22 60G15 26A33 PDFBibTeX XMLCite \textit{M. El-Beltagy} et al., Chaos Solitons Fractals 156, Article ID 111847, 11 p. (2022; Zbl 1506.60044) Full Text: DOI
Wang, Bichen; Hou, Yulei Comment on “A computational technique to classify several fractional Brownian motion processes”. (English) Zbl 1504.60060 Chaos Solitons Fractals 161, Article ID 112377, 3 p. (2022). MSC: 60G22 60J65 60G18 26A33 PDFBibTeX XMLCite \textit{B. Wang} and \textit{Y. Hou}, Chaos Solitons Fractals 161, Article ID 112377, 3 p. (2022; Zbl 1504.60060) Full Text: DOI
Xu, Jiaohui; Caraballo, Tomás Well-posedness of stochastic time fractional 2D-Stokes models with finite and infinite delay. (English) Zbl 1505.35291 Electron. J. Differ. Equ. 2022, Paper No. 86, 29 p. (2022). MSC: 35Q30 35B65 35A01 35A02 33E12 60J65 60G22 60H15 65F08 65F10 26A33 35R11 35R07 35R60 PDFBibTeX XMLCite \textit{J. Xu} and \textit{T. Caraballo}, Electron. J. Differ. Equ. 2022, Paper No. 86, 29 p. (2022; Zbl 1505.35291) Full Text: Link
Esser, Céline; Loosveldt, Laurent Slow, ordinary and rapid points for Gaussian wavelet. (English) Zbl 1511.42030 ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 2, 1471-1495 (2022). Reviewer: Richard A. Zalik (Auburn) MSC: 42C40 26A16 60G15 60G22 60G17 PDFBibTeX XMLCite \textit{C. Esser} and \textit{L. Loosveldt}, ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 2, 1471--1495 (2022; Zbl 1511.42030) Full Text: Link
Bender, Christian; Butko, Yana A. Stochastic solutions of generalized time-fractional evolution equations. (English) Zbl 1503.45005 Fract. Calc. Appl. Anal. 25, No. 2, 488-519 (2022). MSC: 45J05 45R05 60H20 26A33 33E12 60G22 60G65 33C65 PDFBibTeX XMLCite \textit{C. Bender} and \textit{Y. A. Butko}, Fract. Calc. Appl. Anal. 25, No. 2, 488--519 (2022; Zbl 1503.45005) Full Text: DOI arXiv
Kataria, Kuldeep Kumar; Khandakar, Mostafizar Skellam and time-changed variants of the generalized fractional counting process. (English) Zbl 1503.60047 Fract. Calc. Appl. Anal. 25, No. 5, 1873-1907 (2022). MSC: 60G22 60G55 26A33 PDFBibTeX XMLCite \textit{K. K. Kataria} and \textit{M. Khandakar}, Fract. Calc. Appl. Anal. 25, No. 5, 1873--1907 (2022; Zbl 1503.60047) Full Text: DOI arXiv
Bender, Christian; Bormann, Marie; Butko, Yana A. Subordination principle and Feynman-Kac formulae for generalized time-fractional evolution equations. (English) Zbl 1509.47064 Fract. Calc. Appl. Anal. 25, No. 5, 1818-1836 (2022). MSC: 47D06 47D08 35R11 26A33 33E12 60G18 PDFBibTeX XMLCite \textit{C. Bender} et al., Fract. Calc. Appl. Anal. 25, No. 5, 1818--1836 (2022; Zbl 1509.47064) Full Text: DOI arXiv
Beghin, Luisa; De Gregorio, Alessandro Stochastic solutions for time-fractional heat equations with complex spatial variables. (English) Zbl 1503.35249 Fract. Calc. Appl. Anal. 25, No. 1, 244-266 (2022). MSC: 35R11 35R60 60G22 26A33 PDFBibTeX XMLCite \textit{L. Beghin} and \textit{A. De Gregorio}, Fract. Calc. Appl. Anal. 25, No. 1, 244--266 (2022; Zbl 1503.35249) Full Text: DOI arXiv
Yang, Zhiwei Numerical approximation and error analysis for Caputo-Hadamard fractional stochastic differential equations. (English) Zbl 1506.65176 Z. Angew. Math. Phys. 73, No. 6, Paper No. 253, 15 p. (2022). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 65C30 60H35 60J65 35B65 35B35 34A08 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{Z. Yang}, Z. Angew. Math. Phys. 73, No. 6, Paper No. 253, 15 p. (2022; Zbl 1506.65176) Full Text: DOI
Daw, Lara; Loosveldt, Laurent Wavelet methods to study the pointwise regularity of the generalized Rosenblatt process. (English) Zbl 1515.60093 Electron. J. Probab. 27, Paper No. 152, 45 p. (2022). MSC: 60G18 60G22 42C40 26A16 60G17 PDFBibTeX XMLCite \textit{L. Daw} and \textit{L. Loosveldt}, Electron. J. Probab. 27, Paper No. 152, 45 p. (2022; Zbl 1515.60093) Full Text: DOI arXiv
Vasylyk, V. B.; Gavrilyuk, I. P.; Makarov, V. L. Exponentially convergent method for the approximation of a differential equation with fractional derivative and unbounded operator coefficient in a Banach space. (English. Ukrainian original) Zbl 1500.65090 Ukr. Math. J. 74, No. 2, 171-185 (2022); translation from Ukr. Mat. Zh. 74, No. 2, 151-163 (2022). MSC: 65M99 65J08 60J65 35K05 35B45 26A33 35R11 PDFBibTeX XMLCite \textit{V. B. Vasylyk} et al., Ukr. Math. J. 74, No. 2, 171--185 (2022; Zbl 1500.65090); translation from Ukr. Mat. Zh. 74, No. 2, 151--163 (2022) Full Text: DOI
Balasubramaniam, P.; Sathiyaraj, T.; Ratnavelu, K. Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm. (English) Zbl 1507.34069 Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2787-2819 (2022). MSC: 34G25 34A08 34A37 34A12 34F05 60G22 47N20 49J15 26A33 PDFBibTeX XMLCite \textit{P. Balasubramaniam} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2787--2819 (2022; Zbl 1507.34069) Full Text: DOI
Sin, Myong-Guk; Ri, Kyong-Il; Kim, Kyong-Hui Existence and uniqueness of solution for coupled fractional mean-field forward-backward stochastic differential equations. (English) Zbl 1498.60272 Stat. Probab. Lett. 190, Article ID 109608, 11 p. (2022). MSC: 60H15 60G22 26A33 PDFBibTeX XMLCite \textit{M.-G. Sin} et al., Stat. Probab. Lett. 190, Article ID 109608, 11 p. (2022; Zbl 1498.60272) Full Text: DOI
Shi, Jiankang; Chen, Minghua; Yan, Yubin; Cao, Jianxiong Correction of high-order \(L_k\) approximation for subdiffusion. (English) Zbl 1497.65195 J. Sci. Comput. 93, No. 1, Paper No. 31, 27 p. (2022). MSC: 65M70 65M06 65N35 65M15 65D32 60J65 26A33 35R11 PDFBibTeX XMLCite \textit{J. Shi} et al., J. Sci. Comput. 93, No. 1, Paper No. 31, 27 p. (2022; Zbl 1497.65195) Full Text: DOI arXiv
Mpanda, Marc Mukendi; Mukeru, Safari; Mulaudzi, Mmboniseni Generalisation of fractional Cox-Ingersoll-Ross process. (English) Zbl 1503.60048 Results Appl. Math. 15, Article ID 100322, 16 p. (2022). MSC: 60G22 60H05 60H10 26A33 PDFBibTeX XMLCite \textit{M. M. Mpanda} et al., Results Appl. Math. 15, Article ID 100322, 16 p. (2022; Zbl 1503.60048) Full Text: DOI arXiv
Khieu, Tran Thi; Vo, Hoang-Hung Stability results for backward nonlinear diffusion equations with temporal coupling operator of local and nonlocal type. (English) Zbl 1498.65148 SIAM J. Numer. Anal. 60, No. 4, 1665-1700 (2022). Reviewer: Christian Clason (Graz) MSC: 65M30 65M32 65T50 65M06 65N06 60J65 47J06 35R25 35R30 26A33 35R11 92D25 PDFBibTeX XMLCite \textit{T. T. Khieu} and \textit{H.-H. Vo}, SIAM J. Numer. Anal. 60, No. 4, 1665--1700 (2022; Zbl 1498.65148) Full Text: DOI
Caraballo, Tomás; Ngoc, Tran Bao; Thach, Tran Ngoc; Tuan, Nguyen Huy On a stochastic nonclassical diffusion equation with standard and fractional Brownian motion. (English) Zbl 1491.35469 Stoch. Dyn. 22, No. 2, Article ID 2140011, 45 p. (2022). MSC: 35R60 35B65 35K20 35R11 26A33 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Stoch. Dyn. 22, No. 2, Article ID 2140011, 45 p. (2022; Zbl 1491.35469) Full Text: DOI
Aryani, Elnaz; Babaei, Afshin; Valinejad, Ali A numerical technique for solving nonlinear fractional stochastic integro-differential equations with \(n\)-dimensional Wiener process. (English) Zbl 1499.65736 Comput. Methods Differ. Equ. 10, No. 1, 61-76 (2022). MSC: 65R20 65C30 60G22 26A33 45J05 PDFBibTeX XMLCite \textit{E. Aryani} et al., Comput. Methods Differ. Equ. 10, No. 1, 61--76 (2022; Zbl 1499.65736) Full Text: DOI
Ogawa, Shigeyoshi Mean value theorems for the noncausal stochastic integral. (English) Zbl 1491.60077 Japan J. Ind. Appl. Math. 39, No. 2, 801-814 (2022); correction ibid. 40, No. 1, 755-756 (2023). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 60H05 60H99 60J65 26A33 PDFBibTeX XMLCite \textit{S. Ogawa}, Japan J. Ind. Appl. Math. 39, No. 2, 801--814 (2022; Zbl 1491.60077) Full Text: DOI
Farhadi, Afshin; Hanert, Emmanuel A fractional diffusion model of CD\(8^+\) T cells response to parasitic infection in the brain. (English) Zbl 1492.35362 Math. Model. Nat. Phenom. 17, Paper No. 3, 21 p. (2022). MSC: 35Q92 92D30 92C37 82C41 60K50 60J65 35K57 65M60 92-08 26A33 35R11 PDFBibTeX XMLCite \textit{A. Farhadi} and \textit{E. Hanert}, Math. Model. Nat. Phenom. 17, Paper No. 3, 21 p. (2022; Zbl 1492.35362) Full Text: DOI
Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J. Setvalued dynamical systems for stochastic evolution equations driven by fractional noise. (English) Zbl 1493.37065 J. Dyn. Differ. Equations 34, No. 1, 79-105 (2022). MSC: 37H10 37H12 37B55 60G22 26A33 PDFBibTeX XMLCite \textit{M. J. Garrido-Atienza} et al., J. Dyn. Differ. Equations 34, No. 1, 79--105 (2022; Zbl 1493.37065) Full Text: DOI arXiv
Kumar, Vivek Stochastic fractional heat equation perturbed by general Gaussian and non-Gaussian noise. (English) Zbl 1523.35199 Stat. Probab. Lett. 184, Article ID 109381, 9 p. (2022). MSC: 35K05 35R60 35Q30 60G18 60G22 26A33 PDFBibTeX XMLCite \textit{V. Kumar}, Stat. Probab. Lett. 184, Article ID 109381, 9 p. (2022; Zbl 1523.35199) Full Text: DOI
Ito, Yu Integration with respect to Hölder rough paths of order greater than 1/4: an approach via fractional calculus. (English) Zbl 1494.60103 Collect. Math. 73, No. 1, 13-42 (2022). MSC: 60L20 60H05 26A33 PDFBibTeX XMLCite \textit{Y. Ito}, Collect. Math. 73, No. 1, 13--42 (2022; Zbl 1494.60103) Full Text: DOI
Apolinário, Gabriel B.; Chevillard, Laurent; Mourrat, Jean-Christophe Dynamical fractional and multifractal fields. (English) Zbl 1507.35161 J. Stat. Phys. 186, No. 1, Paper No. 15, 35 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76F45 76F55 76U05 60G15 60G22 60G60 35B65 35B40 28A80 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{G. B. Apolinário} et al., J. Stat. Phys. 186, No. 1, Paper No. 15, 35 p. (2022; Zbl 1507.35161) Full Text: DOI arXiv
Mirzaee, Farshid; Rezaei, Shadi; Samadyar, Nasrin Application of combination schemes based on radial basis functions and finite difference to solve stochastic coupled nonlinear time fractional sine-Gordon equations. (English) Zbl 1499.35744 Comput. Appl. Math. 41, No. 1, Paper No. 10, 16 p. (2022). MSC: 35R60 60H15 26A33 65M06 PDFBibTeX XMLCite \textit{F. Mirzaee} et al., Comput. Appl. Math. 41, No. 1, Paper No. 10, 16 p. (2022; Zbl 1499.35744) Full Text: DOI
Daus, Esther S.; Ptashnyk, Mariya; Raithel, Claudia Derivation of a fractional cross-diffusion system as the limit of a stochastic many-particle system driven by Lévy noise. (English) Zbl 1502.35177 J. Differ. Equations 309, 386-426 (2022). MSC: 35Q92 92B05 60G60 60J60 60G51 60G22 35B65 35A01 35A02 47H10 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{E. S. Daus} et al., J. Differ. Equations 309, 386--426 (2022; Zbl 1502.35177) Full Text: DOI arXiv
Gao, Fei; Xie, Xinyi; Zhan, Hui Positive effects of multiplicative noise on the explosion of nonlinear fractional stochastic differential equations. arXiv:2207.05567 Preprint, arXiv:2207.05567 [math.PR] (2022). MSC: 60G65 35J05 35R11 26A33 92B05 BibTeX Cite \textit{F. Gao} et al., ``Positive effects of multiplicative noise on the explosion of nonlinear fractional stochastic differential equations'', Preprint, arXiv:2207.05567 [math.PR] (2022) Full Text: arXiv OA License
Esser, Céline; Loosveldt, Laurent Slow, ordinary and rapid points for Gaussian Wavelets Series and application to Fractional Brownian Motions. arXiv:2203.05472 Preprint, arXiv:2203.05472 [math.PR] (2022). MSC: 42C40 26A16 60G15 60G22 60G17 BibTeX Cite \textit{C. Esser} and \textit{L. Loosveldt}, ``Slow, ordinary and rapid points for Gaussian Wavelets Series and application to Fractional Brownian Motions'', Preprint, arXiv:2203.05472 [math.PR] (2022) Full Text: arXiv OA License
Liao, Xingran; Feng, Minfu Time-fractional diffusion equation-based image denoising model. (English) Zbl 1517.94020 Nonlinear Dyn. 103, No. 2, 1999-2017 (2021). MSC: 94A08 26A33 60G22 PDFBibTeX XMLCite \textit{X. Liao} and \textit{M. Feng}, Nonlinear Dyn. 103, No. 2, 1999--2017 (2021; Zbl 1517.94020) Full Text: DOI
Junxiang, Lu; Xue, Hong Adaptive synchronization for fractional stochastic neural network with delay. (English) Zbl 1487.34019 Adv. Difference Equ. 2021, Paper No. 77, 13 p. (2021). MSC: 34A08 34D06 26A33 93C15 PDFBibTeX XMLCite \textit{L. Junxiang} and \textit{H. Xue}, Adv. Difference Equ. 2021, Paper No. 77, 13 p. (2021; Zbl 1487.34019) Full Text: DOI
Litovchenko, V. A. The maximum principle for the equation of local fluctuations of Riesz gravitational fields of purely fractional order. (Ukrainian. English summary) Zbl 1499.35664 Bukovyn. Mat. Zh. 9, No. 2, 81-91 (2021). MSC: 35R11 60G22 26A33 PDFBibTeX XMLCite \textit{V. A. Litovchenko}, Bukovyn. Mat. Zh. 9, No. 2, 81--91 (2021; Zbl 1499.35664) Full Text: DOI
Dhanalakshmi, K.; Balasubramaniam, P. Stability result for fractional neutral stochastic differential system driven by mixed fractional Brownian motion. (English) Zbl 1482.34185 Int. J. Dyn. Syst. Differ. Equ. 11, No. 5-6, 497-513 (2021). MSC: 34K37 34K20 34K40 34K50 26A33 60G22 PDFBibTeX XMLCite \textit{K. Dhanalakshmi} and \textit{P. Balasubramaniam}, Int. J. Dyn. Syst. Differ. Equ. 11, No. 5--6, 497--513 (2021; Zbl 1482.34185) Full Text: DOI
Ahmed, Hamdy M.; El-Borai, Mahmoud M.; Ramadan, Mohamed E. Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps. (English) Zbl 07486832 Int. J. Nonlinear Sci. Numer. Simul. 22, No. 7-8, 927-942 (2021). MSC: 26A33 34K40 60G22 60H10 93B05 93C10 PDFBibTeX XMLCite \textit{H. M. Ahmed} et al., Int. J. Nonlinear Sci. Numer. Simul. 22, No. 7--8, 927--942 (2021; Zbl 07486832) Full Text: DOI
Biermé, Hermine; Desolneux, Agnès The effect of discretization on the mean geometry of a 2D random field. (Effet de la discrétisation sur la géométrie moyenne des champs aléatoires 2D.) (English. French summary) Zbl 1492.60029 Ann. Henri Lebesgue 4, 1295-1345 (2021). MSC: 60D05 26B15 28A75 60G10 60G22 60G60 PDFBibTeX XMLCite \textit{H. Biermé} and \textit{A. Desolneux}, Ann. Henri Lebesgue 4, 1295--1345 (2021; Zbl 1492.60029) Full Text: DOI
Dai, Chao-Qing; Wu, Gangzhou; Li, Hui-Jun; Wang, Yue-Yue Wick-type stochastic fractional solitons supported by quadratic-cubic nonlinearity. (English) Zbl 1481.78020 Fractals 29, No. 7, Article ID 2150192, 11 p. (2021). MSC: 78A60 78A40 35C08 35B36 33E12 60G22 60H40 35Q55 35R60 26A33 35R11 PDFBibTeX XMLCite \textit{C.-Q. Dai} et al., Fractals 29, No. 7, Article ID 2150192, 11 p. (2021; Zbl 1481.78020) Full Text: DOI
Yang, Min Existence uniqueness of mild solutions for \(\psi \)-Caputo fractional stochastic evolution equations driven by fBm. (English) Zbl 1504.35629 J. Inequal. Appl. 2021, Paper No. 170, 18 p. (2021). MSC: 35R11 60H15 26A33 60G22 47N20 PDFBibTeX XMLCite \textit{M. Yang}, J. Inequal. Appl. 2021, Paper No. 170, 18 p. (2021; Zbl 1504.35629) Full Text: DOI
Yang, Min; Gu, Haibo Riemann-Liouville fractional stochastic evolution equations driven by both Wiener process and fractional Brownian motion. (English) Zbl 1504.35630 J. Inequal. Appl. 2021, Paper No. 8, 19 p. (2021). MSC: 35R11 60G22 60H15 26A33 PDFBibTeX XMLCite \textit{M. Yang} and \textit{H. Gu}, J. Inequal. Appl. 2021, Paper No. 8, 19 p. (2021; Zbl 1504.35630) Full Text: DOI
Durga, N.; Muthukumar, P.; Fu, Xianlong Stochastic time-optimal control for time-fractional Ginzburg-Landau equation with mixed fractional Brownian motion. (English) Zbl 1479.35833 Stochastic Anal. Appl. 39, No. 6, 1144-1165 (2021). MSC: 35Q56 26A33 35R11 49J20 60G22 60G57 60H15 35A01 PDFBibTeX XMLCite \textit{N. Durga} et al., Stochastic Anal. Appl. 39, No. 6, 1144--1165 (2021; Zbl 1479.35833) Full Text: DOI
Anastassiou, George A. Generalized fractional calculus. New advancements and applications. (English) Zbl 1473.26001 Studies in Systems, Decision and Control 305. Cham: Springer (ISBN 978-3-030-56961-7/hbk; 978-3-030-56964-8/pbk; 978-3-030-56962-4/ebook). xv, 498 p. (2021). MSC: 26-02 26A33 26D10 26D15 41A36 60G17 60G22 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, Generalized fractional calculus. New advancements and applications. Cham: Springer (2021; Zbl 1473.26001) Full Text: DOI
Kumar, Surendra; Upadhyay, Anjali Optimal control problem for fractional stochastic delayed systems with noninstantaneous impulses. (English) Zbl 1478.93733 IMA J. Math. Control Inf. 38, No. 3, 855-880 (2021). Reviewer: Heinrich Hering (Rockenberg) MSC: 93E20 93C43 93C27 93C23 34K45 26A33 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{A. Upadhyay}, IMA J. Math. Control Inf. 38, No. 3, 855--880 (2021; Zbl 1478.93733) Full Text: DOI
Priyadharsini, J.; Balasubramaniam, P. Optimal control for fractional higher order damped stochastic impulsive systems. (English) Zbl 1470.93167 Math. Methods Appl. Sci. 44, No. 7, 5930-5952 (2021). MSC: 93E20 93B05 26A33 93C27 34K50 60J65 PDFBibTeX XMLCite \textit{J. Priyadharsini} and \textit{P. Balasubramaniam}, Math. Methods Appl. Sci. 44, No. 7, 5930--5952 (2021; Zbl 1470.93167) Full Text: DOI
Hao, Zhaopeng; Zhang, Zhongqiang Numerical approximation of optimal convergence for fractional elliptic equations with additive fractional Gaussian noise. (English) Zbl 1503.65304 SIAM/ASA J. Uncertain. Quantif. 9, 1013-1033 (2021). Reviewer: Wenlin Qiu (Changsha) MSC: 65N35 65M70 65M60 65M12 65M15 35A01 35A02 35B65 60G22 60J65 60H50 41A25 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Hao} and \textit{Z. Zhang}, SIAM/ASA J. Uncertain. Quantif. 9, 1013--1033 (2021; Zbl 1503.65304) Full Text: DOI
Du, Rui-lian; Sun, Zhi-zhong Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations. (English) Zbl 1496.65111 Numer. Algorithms 88, No. 1, 191-226 (2021). MSC: 65M06 65N06 65M12 35B65 60J65 26A33 35R11 PDFBibTeX XMLCite \textit{R.-l. Du} and \textit{Z.-z. Sun}, Numer. Algorithms 88, No. 1, 191--226 (2021; Zbl 1496.65111) Full Text: DOI
Abedini, Nazanin; Foroush Bastani, Ali; Zohouri Zangeneh, Bijan A Petrov-Galerkin finite element method using polyfractonomials to solve stochastic fractional differential equations. (English) Zbl 1480.65245 Appl. Numer. Math. 169, 64-86 (2021). MSC: 65M60 65M70 60H30 60G22 60G15 60H50 26A33 35R11 35R30 35R60 PDFBibTeX XMLCite \textit{N. Abedini} et al., Appl. Numer. Math. 169, 64--86 (2021; Zbl 1480.65245) Full Text: DOI
Bartmanski, Bartosz J.; Baker, Ruth E. Effects of different discretisations of the Laplacian upon stochastic simulations of reaction-diffusion systems on both static and growing domains. (English) Zbl 1476.65162 J. Comput. Appl. Math. 395, Article ID 113570, 24 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M08 65M60 65M75 65C35 35B36 35K05 35K57 60J76 60J74 60J65 92C15 35Q84 35Q79 35R11 26A33 PDFBibTeX XMLCite \textit{B. J. Bartmanski} and \textit{R. E. Baker}, J. Comput. Appl. Math. 395, Article ID 113570, 24 p. (2021; Zbl 1476.65162) Full Text: DOI arXiv
Kochubei, Anatoly N.; Kondratiev, Yuri; da Silva, José Luís On fractional heat equation. (English) Zbl 1474.35658 Fract. Calc. Appl. Anal. 24, No. 1, 73-87 (2021). MSC: 35R11 26A33 60G22 PDFBibTeX XMLCite \textit{A. N. Kochubei} et al., Fract. Calc. Appl. Anal. 24, No. 1, 73--87 (2021; Zbl 1474.35658) Full Text: DOI arXiv
Guo, Lihong; Chen, YangQuan; Shi, Shaoyun; West, Bruce J. Renormalization group and fractional calculus methods in a complex world: a review. (English) Zbl 1488.81034 Fract. Calc. Appl. Anal. 24, No. 1, 5-53 (2021). MSC: 81T17 26A33 82B28 34A08 35R11 60G22 35B25 34K26 34E20 PDFBibTeX XMLCite \textit{L. Guo} et al., Fract. Calc. Appl. Anal. 24, No. 1, 5--53 (2021; Zbl 1488.81034) Full Text: DOI
Kern, Peter; Lage, Svenja Space-time duality for semi-fractional diffusions. (English) Zbl 1462.35441 Freiberg, Uta (ed.) et al., Fractal geometry and stochastics VI. Selected papers of the 6th conference, Bad Herrenalb, Germany, September 30 – October 6, 2018. Cham: Birkhäuser. Prog. Probab. 76, 255-272 (2021). MSC: 35R11 26A33 60G18 60G22 60G51 82C31 PDFBibTeX XMLCite \textit{P. Kern} and \textit{S. Lage}, Prog. Probab. 76, 255--272 (2021; Zbl 1462.35441) Full Text: DOI arXiv
Gong, Yuxuan; Li, Peijun; Wang, Xu; Xu, Xiang Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift. (English) Zbl 1475.35432 Inverse Probl. 37, No. 4, Article ID 045001, 23 p. (2021). Reviewer: Robert Plato (Siegen) MSC: 35R60 26A33 35A01 35A02 35R11 35R30 35R25 49M37 60G60 60H40 60J65 65M30 65M32 65T50 90C25 35K20 PDFBibTeX XMLCite \textit{Y. Gong} et al., Inverse Probl. 37, No. 4, Article ID 045001, 23 p. (2021; Zbl 1475.35432) Full Text: DOI arXiv
dos Santos, Maike A. F.; Nobre, Fernando D.; Curado, Evaldo M. F. Monitoring Lévy-process crossovers. (English) Zbl 1453.82073 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105490, 10 p. (2021). MSC: 82C41 60G51 60G22 35R11 26A33 PDFBibTeX XMLCite \textit{M. A. F. dos Santos} et al., Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105490, 10 p. (2021; Zbl 1453.82073) Full Text: DOI arXiv
Han, Xiyue; Schied, Alexander The roughness exponent and its model-free estimation. arXiv:2111.10301 Preprint, arXiv:2111.10301 [math.ST] (2021). MSC: 60F15 60G22 60G46 62G05 26A30 BibTeX Cite \textit{X. Han} and \textit{A. Schied}, ``The roughness exponent and its model-free estimation'', Preprint, arXiv:2111.10301 [math.ST] (2021) Full Text: arXiv OA License
Beghin, Luisa; Ricciuti, Costantino Lévy processes linked to the lower-incomplete gamma function. arXiv:2106.12201 Preprint, arXiv:2106.12201 [math.PR] (2021). MSC: 33B20 26A33 60G51 60J65 34A08 26A33 60G51 60J65 34A08 BibTeX Cite \textit{L. Beghin} and \textit{C. Ricciuti}, ``L\'evy processes linked to the lower-incomplete gamma function'', Preprint, arXiv:2106.12201 [math.PR] (2021) Full Text: arXiv OA License
Saglam, Ugur; Ulutas, Kemal; Parim, Yagmur; Yakut, Sahin; Deger, Deniz A theoretical approach to conductivity. (English) Zbl 07806148 Int. J. Geom. Methods Mod. Phys. 17, No. 1, Article ID 2050004, 10 p. (2020). MSC: 26A33 60G22 70K40 PDFBibTeX XMLCite \textit{U. Saglam} et al., Int. J. Geom. Methods Mod. Phys. 17, No. 1, Article ID 2050004, 10 p. (2020; Zbl 07806148) Full Text: DOI
Ahmed, Hamdy M.; El-Borai, Mahmoud M.; El Bab, A. S. Okb; Ramadan, M. Elsaid Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion. (English) Zbl 1485.93055 Bound. Value Probl. 2020, Paper No. 120, 25 p. (2020). MSC: 93B05 45J05 26A33 34B37 93C10 60H10 34K40 60G22 PDFBibTeX XMLCite \textit{H. M. Ahmed} et al., Bound. Value Probl. 2020, Paper No. 120, 25 p. (2020; Zbl 1485.93055) Full Text: DOI
Akinlar, M. A.; Inc, Mustafa; Gómez-Aguilar, J. F.; Boutarfa, B. Solutions of a disease model with fractional white noise. (English) Zbl 1489.92132 Chaos Solitons Fractals 137, Article ID 109840, 7 p. (2020). MSC: 92D30 60H05 60H10 60G15 26A33 PDFBibTeX XMLCite \textit{M. A. Akinlar} et al., Chaos Solitons Fractals 137, Article ID 109840, 7 p. (2020; Zbl 1489.92132) Full Text: DOI
Pinelis, Iosif A problem concerning Riemann sums. (English) Zbl 1499.26003 J. Class. Anal. 16, No. 2, 59-63 (2020). MSC: 26A06 26A46 60G15 PDFBibTeX XMLCite \textit{I. Pinelis}, J. Class. Anal. 16, No. 2, 59--63 (2020; Zbl 1499.26003) Full Text: DOI arXiv
Litovchenko, V. A. On the nature of a classical pseudodifferential equation. (Ukrainian. English summary) Zbl 1474.35661 Bukovyn. Mat. Zh. 8, No. 2, 83-92 (2020). MSC: 35R11 60G22 26A33 PDFBibTeX XMLCite \textit{V. A. Litovchenko}, Bukovyn. Mat. Zh. 8, No. 2, 83--92 (2020; Zbl 1474.35661) Full Text: DOI
Platonova, M. V.; Tsykin, S. V. Probabilistic approach to solving the Cauchy problem for the Schrödinger equation with fractional differential operator of order \(\alpha \in \underset{m=3}{\overset{\infty }{\bigcup }}(m-1,m)\). (English. Russian original) Zbl 1450.35230 J. Math. Sci., New York 251, No. 1, 131-140 (2020); translation from Zap. Nauchn. Semin. POMI 474, 199-212 (2018). MSC: 35Q41 60G55 60G22 60G57 60H30 35R11 26A33 PDFBibTeX XMLCite \textit{M. V. Platonova} and \textit{S. V. Tsykin}, J. Math. Sci., New York 251, No. 1, 131--140 (2020; Zbl 1450.35230); translation from Zap. Nauchn. Semin. POMI 474, 199--212 (2018) Full Text: DOI
Makaew, Sirawit; Neamprem, Khomsan; Koonprasert, Sanoe Solving the Poisson process in conformable fractional calculus sense by homotopy perturbation method. (English) Zbl 1474.65015 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2019, 387-399 (2020). MSC: 65C30 26A33 60G22 PDFBibTeX XMLCite \textit{S. Makaew} et al., Thai J. Math., 387--399 (2020; Zbl 1474.65015) Full Text: Link
Ascione, Giacomo; Mishura, Yuliya; Pirozzi, Enrica Time-changed fractional Ornstein-Uhlenbeck process. (English) Zbl 1450.60030 Fract. Calc. Appl. Anal. 23, No. 2, 450-483 (2020). MSC: 60G22 26A33 35Q84 42A38 42B10 60H10 82C31 PDFBibTeX XMLCite \textit{G. Ascione} et al., Fract. Calc. Appl. Anal. 23, No. 2, 450--483 (2020; Zbl 1450.60030) Full Text: DOI arXiv
Garra, Roberto; Issoglio, Elena; Taverna, Giorgio S. Fractional Brownian motions ruled by nonlinear equations. (English) Zbl 1441.60030 Appl. Math. Lett. 102, Article ID 106160, 6 p. (2020). MSC: 60G22 26A33 35R11 PDFBibTeX XMLCite \textit{R. Garra} et al., Appl. Math. Lett. 102, Article ID 106160, 6 p. (2020; Zbl 1441.60030) Full Text: DOI arXiv Link
Giusti, Andrea; Colombaro, Ivano; Garra, Roberto; Garrappa, Roberto; Polito, Federico; Popolizio, Marina; Mainardi, Francesco A practical guide to Prabhakar fractional calculus. (English) Zbl 1437.33019 Fract. Calc. Appl. Anal. 23, No. 1, 9-54 (2020). MSC: 33E12 26A33 65R10 34K37 60G22 PDFBibTeX XMLCite \textit{A. Giusti} et al., Fract. Calc. Appl. Anal. 23, No. 1, 9--54 (2020; Zbl 1437.33019) Full Text: DOI arXiv
Lawley, Sean D Anomalous reaction-diffusion equations for linear reactions. arXiv:2008.11579 Preprint, arXiv:2008.11579 [cond-mat.stat-mech] (2020). MSC: 34K37 26A33 60G22 92C05 92C37 BibTeX Cite \textit{S. D Lawley}, ``Anomalous reaction-diffusion equations for linear reactions'', Preprint, arXiv:2008.11579 [cond-mat.stat-mech] (2020) Full Text: DOI arXiv OA License
Lawley, Sean D Subdiffusion-limited fractional reaction-subdiffusion equations with affine reactions: Solution, stochastic paths, and applications. arXiv:2008.09949 Preprint, arXiv:2008.09949 [cond-mat.stat-mech] (2020). MSC: 34K37 26A33 60G22 92C05 92C37 BibTeX Cite \textit{S. D Lawley}, ``Subdiffusion-limited fractional reaction-subdiffusion equations with affine reactions: Solution, stochastic paths, and applications'', Preprint, arXiv:2008.09949 [cond-mat.stat-mech] (2020) Full Text: DOI arXiv OA License
Makogin, Vitalii; Mishura, Yuliya; Zhelezniak, Hanna Approximate solution of the integral equations involving kernel with additional singularity. arXiv:2007.01274 Preprint, arXiv:2007.01274 [math.PR] (2020). MSC: 60G22 45L05 45B05 34K28 26A33 BibTeX Cite \textit{V. Makogin} et al., ``Approximate solution of the integral equations involving kernel with additional singularity'', Preprint, arXiv:2007.01274 [math.PR] (2020) Full Text: arXiv OA License
Zhou, Xia; Zhou, Dongpeng; Zhong, Shouming Existence and exponential stability in the \(p\)th moment for impulsive neutral stochastic integro-differential equations driven by mixed fractional Brownian motion. (English) Zbl 1499.60233 J. Inequal. Appl. 2019, Paper No. 262, 19 p. (2019). MSC: 60H15 60H20 60G22 35R60 26A33 PDFBibTeX XMLCite \textit{X. Zhou} et al., J. Inequal. Appl. 2019, Paper No. 262, 19 p. (2019; Zbl 1499.60233) Full Text: DOI