Du, Qiang; Tian, Xiaochuan; Zhou, Zhi Nonlocal diffusion models with consistent local and fractional limits. (English) Zbl 07814301 Mengesha, Tadele (ed.) et al., A\(^3\) N\(^2\) M: approximation, applications, and analysis of nonlocal, nonlinear models. Proceedings of the 50th John H. Barrett memorial lectures, Knoxville, TN, USA, virtual, May 2021. Cham: Springer. IMA Vol. Math. Appl. 165, 175-213 (2023). MSC: 65N30 35R11 47G10 46E35 PDFBibTeX XMLCite \textit{Q. Du} et al., IMA Vol. Math. Appl. 165, 175--213 (2023; Zbl 07814301) 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
Bock, Wolfgang; Grothaus, Martin; Orge, Karlo Stochastic analysis for vector-valued generalized grey Brownian motion. (English) Zbl 1511.60064 Theory Probab. Math. Stat. 108, 1-27 (2023). MSC: 60G22 60G20 46F25 46F12 33E12 60H10 PDFBibTeX XMLCite \textit{W. Bock} et al., Theory Probab. Math. Stat. 108, 1--27 (2023; Zbl 1511.60064) Full Text: DOI arXiv
Ho, Kwok-Pun Integral operators on Cesàro function spaces. (English) Zbl 07584452 Bull. Korean Math. Soc. 59, No. 4, 905-915 (2022). MSC: 47G10 44A15 46E30 PDFBibTeX XMLCite \textit{K.-P. Ho}, Bull. Korean Math. Soc. 59, No. 4, 905--915 (2022; Zbl 07584452) Full Text: DOI
Li, Nan-Ding; Liu, Ru; Li, Miao Resolvent positive operators and positive fractional resolvent families. (English) Zbl 1492.47041 J. Funct. Spaces 2021, Article ID 6418846, 13 p. (2021). Reviewer: Marko Kostić (Novi Sad) MSC: 47B65 46B40 PDFBibTeX XMLCite \textit{N.-D. Li} et al., J. Funct. Spaces 2021, Article ID 6418846, 13 p. (2021; Zbl 1492.47041) Full Text: DOI
Dong, Jianping; Lu, Ying Infinite wall in the fractional quantum mechanics. (English) Zbl 1461.81030 J. Math. Phys. 62, No. 3, Article ID 032104, 13 p. (2021). MSC: 81Q05 35R11 47B06 81S40 46F10 12F20 35P05 PDFBibTeX XMLCite \textit{J. Dong} and \textit{Y. Lu}, J. Math. Phys. 62, No. 3, Article ID 032104, 13 p. (2021; Zbl 1461.81030) Full Text: DOI
Ashyralyev, Allaberen; Hamad, Ayman A note on fractional powers of strongly positive operators and their applications. (English) Zbl 07115434 Fract. Calc. Appl. Anal. 22, No. 2, 302-325 (2019). MSC: 47H07 47F05 46B70 26A33 PDFBibTeX XMLCite \textit{A. Ashyralyev} and \textit{A. Hamad}, Fract. Calc. Appl. Anal. 22, No. 2, 302--325 (2019; Zbl 07115434) Full Text: DOI
Ghanmi, Abdeljabbar; Horrigue, Samah Evolution equations with fractional Gross Laplacian and Caputo time fractional derivative. (English) Zbl 1447.60101 Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 80, 13 p. (2019). MSC: 60H15 46F25 60H05 46G20 PDFBibTeX XMLCite \textit{A. Ghanmi} and \textit{S. Horrigue}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 80, 13 p. (2019; Zbl 1447.60101) Full Text: DOI
Al-Omari, Shrideh Khalaf Qasem On a class of generalized Meijer-Laplace transforms of Fox function type kernels and their extension to a class of Boehmians. (English) Zbl 1398.46033 Georgian Math. J. 25, No. 1, 1-8 (2018). MSC: 46F12 PDFBibTeX XMLCite \textit{S. K. Q. Al-Omari}, Georgian Math. J. 25, No. 1, 1--8 (2018; Zbl 1398.46033) Full Text: DOI
Grothaus, M.; Jahnert, F. Mittag-Leffler analysis. II: Application to the fractional heat equation. (English) Zbl 1360.46034 J. Funct. Anal. 270, No. 7, 2732-2768 (2016). MSC: 46F25 60G22 26A33 33E12 PDFBibTeX XMLCite \textit{M. Grothaus} and \textit{F. Jahnert}, J. Funct. Anal. 270, No. 7, 2732--2768 (2016; Zbl 1360.46034) Full Text: DOI arXiv
Grothaus, M.; Jahnert, F.; Riemann, F.; da Silva, J. L. Mittag-Leffler analysis. I: Construction and characterization. (English) Zbl 1322.46026 J. Funct. Anal. 268, No. 7, 1876-1903 (2015). Reviewer: Hossam A. Ghany (Taif) MSC: 46F25 46G12 60G22 33E12 46F30 PDFBibTeX XMLCite \textit{M. Grothaus} et al., J. Funct. Anal. 268, No. 7, 1876--1903 (2015; Zbl 1322.46026) Full Text: DOI arXiv
Lopushansky, A. O. The Cauchy problem for an equation with fractional derivatives in Bessel potential spaces. (English. Russian original) Zbl 1323.35199 Sib. Math. J. 55, No. 6, 1089-1097 (2014); translation from Sib. Mat. Zh. 55, No. 6, 1334-1344 (2014). MSC: 35R11 46E35 PDFBibTeX XMLCite \textit{A. O. Lopushansky}, Sib. Math. J. 55, No. 6, 1089--1097 (2014; Zbl 1323.35199); translation from Sib. Mat. Zh. 55, No. 6, 1334--1344 (2014) Full Text: DOI
Atanackovic, Teodor M.; Oparnica, Ljubica; Pilipović, Stevan Distributional framework for solving fractional differential equations. (English) Zbl 1170.26003 Integral Transforms Spec. Funct. 20, No. 3-4, 215-222 (2009). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 46F12 PDFBibTeX XMLCite \textit{T. M. Atanackovic} et al., Integral Transforms Spec. Funct. 20, No. 3--4, 215--222 (2009; Zbl 1170.26003) Full Text: DOI arXiv
Shen, S.; Liu, Fawang; Anh, V. Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order. (English) Zbl 1157.65520 J. Appl. Math. Comput. 28, No. 1-2, 147-164 (2008). MSC: 65R20 45K05 26A33 65M06 65G50 46F10 60H25 PDFBibTeX XMLCite \textit{S. Shen} et al., J. Appl. Math. Comput. 28, No. 1--2, 147--164 (2008; Zbl 1157.65520) Full Text: DOI Link