Bouzeffour, Fethi Fractional Bessel derivative within the Mellin transform framework. (English) Zbl 07803618 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 3, 15 p. (2024). MSC: 26A33 33C10 44A20 PDFBibTeX XMLCite \textit{F. Bouzeffour}, J. Nonlinear Math. Phys. 31, No. 1, Paper No. 3, 15 p. (2024; Zbl 07803618) Full Text: DOI OA License
Górska, Katarzyna; Horzela, Andrzej Subordination and memory dependent kinetics in diffusion and relaxation phenomena. (English) Zbl 1511.45008 Fract. Calc. Appl. Anal. 26, No. 2, 480-512 (2023). MSC: 45K05 45R05 26A33 35R11 60G20 PDFBibTeX XMLCite \textit{K. Górska} and \textit{A. Horzela}, Fract. Calc. Appl. Anal. 26, No. 2, 480--512 (2023; Zbl 1511.45008) Full Text: DOI
Paneva-Konovska, Jordanka Prabhakar function of Le Roy type: a set of results in the complex plane. (English) Zbl 1509.33024 Fract. Calc. Appl. Anal. 26, No. 1, 32-53 (2023). MSC: 33E20 26A33 30D20 41A58 33E12 PDFBibTeX XMLCite \textit{J. Paneva-Konovska}, Fract. Calc. Appl. Anal. 26, No. 1, 32--53 (2023; Zbl 1509.33024) Full Text: DOI
da Silva, José L.; Drumond, Custódia; Streit, Ludwig Form factors for stars generalized grey Brownian motion. (English) Zbl 07819625 Malyarenko, Anatoliy (ed.) et al., Stochastic processes, statistical methods, and engineering mathematics. SPAS 2019, Västerås, Sweden, September 30 – October 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 408, 431-445 (2022). MSC: 60G22 60G15 33E12 PDFBibTeX XMLCite \textit{J. L. da Silva} et al., Springer Proc. Math. Stat. 408, 431--445 (2022; Zbl 07819625) Full Text: DOI
Leonenko, Nikolai; Pirozzi, Enrica First passage times for some classes of fractional time-changed diffusions. (English) Zbl 1495.60075 Stochastic Anal. Appl. 40, No. 4, 735-763 (2022). MSC: 60J60 60G15 60G22 PDFBibTeX XMLCite \textit{N. Leonenko} and \textit{E. Pirozzi}, Stochastic Anal. Appl. 40, No. 4, 735--763 (2022; Zbl 1495.60075) 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
Bock, Wolfgang; Desmettre, Sascha; da Silva, José Luís Integral representation of generalized grey Brownian motion. (English) Zbl 1490.60086 Stochastics 92, No. 4, 552-565 (2020). MSC: 60G20 60G22 60H05 PDFBibTeX XMLCite \textit{W. Bock} et al., Stochastics 92, No. 4, 552--565 (2020; Zbl 1490.60086) Full Text: DOI arXiv
Tarasov, Vasily E.; Tarasova, Svetlana S. Fractional and integer derivatives with continuously distributed lag. (English) Zbl 1464.26008 Commun. Nonlinear Sci. Numer. Simul. 70, 125-169 (2019). MSC: 26A33 34K37 60E05 PDFBibTeX XMLCite \textit{V. E. Tarasov} and \textit{S. S. Tarasova}, Commun. Nonlinear Sci. Numer. Simul. 70, 125--169 (2019; Zbl 1464.26008) Full Text: DOI
da Silva, José L.; Streit, Ludwig Structure factors for generalized grey Browinian motion. (English) Zbl 1436.60040 Fract. Calc. Appl. Anal. 22, No. 2, 396-411 (2019). MSC: 60G22 33E12 65R10 PDFBibTeX XMLCite \textit{J. L. da Silva} and \textit{L. Streit}, Fract. Calc. Appl. Anal. 22, No. 2, 396--411 (2019; Zbl 1436.60040) Full Text: DOI arXiv
Bazhlekova, Emilia Subordination principle for space-time fractional evolution equations and some applications. (English) Zbl 1411.35269 Integral Transforms Spec. Funct. 30, No. 6, 431-452 (2019). MSC: 35R11 33E12 47D06 PDFBibTeX XMLCite \textit{E. Bazhlekova}, Integral Transforms Spec. Funct. 30, No. 6, 431--452 (2019; Zbl 1411.35269) Full Text: DOI arXiv
Bazhlekova, Emilia Subordination in a class of generalized time-fractional diffusion-wave equations. (English) Zbl 1418.35356 Fract. Calc. Appl. Anal. 21, No. 4, 869-900 (2018). MSC: 35R11 35E05 35L05 35Q74 74D05 PDFBibTeX XMLCite \textit{E. Bazhlekova}, Fract. Calc. Appl. Anal. 21, No. 4, 869--900 (2018; Zbl 1418.35356) Full Text: DOI
Abadias, Luciano; Álvarez, Edgardo Uniform stability for fractional Cauchy problems and applications. (English) Zbl 1414.34003 Topol. Methods Nonlinear Anal. 52, No. 2, 707-728 (2018). MSC: 34A08 43A60 47D06 34G20 PDFBibTeX XMLCite \textit{L. Abadias} and \textit{E. Álvarez}, Topol. Methods Nonlinear Anal. 52, No. 2, 707--728 (2018; Zbl 1414.34003) Full Text: DOI Euclid
Górska, Katarzyna; Horzela, Andrzej; Penson, Karol A.; Dattoli, Giuseppe; Duchamp, Gerard H. E. The stretched exponential behavior and its underlying dynamics. The phenomenological approach. (English) Zbl 1360.35311 Fract. Calc. Appl. Anal. 20, No. 1, 260-283 (2017). MSC: 35R11 60G18 60G52 49M20 PDFBibTeX XMLCite \textit{K. Górska} et al., Fract. Calc. Appl. Anal. 20, No. 1, 260--283 (2017; Zbl 1360.35311) Full Text: DOI arXiv
Ansari, Alireza On the Volterra \(\mu\)-functions and the M-Wright functions as kernels and eigenfunctions of Volterra type integral operators. (English) Zbl 1381.45036 Fract. Calc. Appl. Anal. 19, No. 2, 567-572 (2016). MSC: 45P05 34A08 26A33 33E20 45D05 PDFBibTeX XMLCite \textit{A. Ansari}, Fract. Calc. Appl. Anal. 19, No. 2, 567--572 (2016; Zbl 1381.45036) Full Text: DOI
Pagnini, Gianni; Paradisi, Paolo A stochastic solution with Gaussian stationary increments of the symmetric space-time fractional diffusion equation. (English) Zbl 1341.60073 Fract. Calc. Appl. Anal. 19, No. 2, 408-440 (2016). MSC: 60H30 35R11 60G15 60G22 60J60 60G10 60G18 60G20 26A33 82C31 PDFBibTeX XMLCite \textit{G. Pagnini} and \textit{P. Paradisi}, Fract. Calc. Appl. Anal. 19, No. 2, 408--440 (2016; Zbl 1341.60073) Full Text: DOI arXiv
Mentrelli, Andrea; Pagnini, Gianni Front propagation in anomalous diffusive media governed by time-fractional diffusion. (English) Zbl 1349.35404 J. Comput. Phys. 293, 427-441 (2015). MSC: 35R11 35K57 60G22 60J60 PDFBibTeX XMLCite \textit{A. Mentrelli} and \textit{G. Pagnini}, J. Comput. Phys. 293, 427--441 (2015; Zbl 1349.35404) Full Text: DOI Link
Abadias, Luciano; Miana, Pedro J. A subordination principle on Wright functions and regularized resolvent families. (English) Zbl 1354.47028 J. Funct. Spaces 2015, Article ID 158145, 9 p. (2015). Reviewer: René L. Schilling (Dresden) MSC: 47D06 34A08 33E99 44A35 PDFBibTeX XMLCite \textit{L. Abadias} and \textit{P. J. Miana}, J. Funct. Spaces 2015, Article ID 158145, 9 p. (2015; Zbl 1354.47028) Full Text: DOI arXiv
Pagnini, Gianni The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes. (English) Zbl 1312.33061 Fract. Calc. Appl. Anal. 16, No. 2, 436-453 (2013). MSC: 33E20 26A33 44A35 60G18 60G22 33E30 PDFBibTeX XMLCite \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 16, No. 2, 436--453 (2013; Zbl 1312.33061) Full Text: DOI
Luchko, Yuri; Kiryakova, Virginia The Mellin integral transform in fractional calculus. (English) Zbl 1312.26016 Fract. Calc. Appl. Anal. 16, No. 2, 405-430 (2013). MSC: 26A33 44A20 33C60 33E30 44A10 PDFBibTeX XMLCite \textit{Y. Luchko} and \textit{V. Kiryakova}, Fract. Calc. Appl. Anal. 16, No. 2, 405--430 (2013; Zbl 1312.26016) Full Text: DOI
Fulger, Daniel; Scalas, Enrico; Germano, Guido Random numbers from the tails of probability distributions using the transformation method. (English) Zbl 1312.65004 Fract. Calc. Appl. Anal. 16, No. 2, 332-353 (2013). MSC: 65C10 35R11 60G22 33E12 PDFBibTeX XMLCite \textit{D. Fulger} et al., Fract. Calc. Appl. Anal. 16, No. 2, 332--353 (2013; Zbl 1312.65004) Full Text: DOI Link
Cahoy, Dexter O. Moment estimators for the two-parameter \(M\)-Wright distribution. (English) Zbl 1304.65019 Comput. Stat. 27, No. 3, 487-497 (2012). MSC: 62-08 PDFBibTeX XMLCite \textit{D. O. Cahoy}, Comput. Stat. 27, No. 3, 487--497 (2012; Zbl 1304.65019) Full Text: DOI
Pagnini, Gianni Erdélyi-Kober fractional diffusion. (English) Zbl 1276.26021 Fract. Calc. Appl. Anal. 15, No. 1, 117-127 (2012). MSC: 26A33 45D05 60G22 33E30 PDFBibTeX XMLCite \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 15, No. 1, 117--127 (2012; Zbl 1276.26021) Full Text: DOI arXiv
Babakhani, Azizollah; Baleanu, Dumitru; Khanbabaie, Reza Hopf bifurcation for a class of fractional differential equations with delay. (English) Zbl 1258.34155 Nonlinear Dyn. 69, No. 3, 721-729 (2012). MSC: 34K37 34K18 34K13 34K20 PDFBibTeX XMLCite \textit{A. Babakhani} et al., Nonlinear Dyn. 69, No. 3, 721--729 (2012; Zbl 1258.34155) Full Text: DOI
Cahoy, Dexter O. Estimation and simulation for the \(M\)-Wright function. (English) Zbl 1319.62073 Commun. Stat., Theory Methods 41, No. 7-9, 1466-1477 (2012). MSC: 62G05 65C10 62G20 PDFBibTeX XMLCite \textit{D. O. Cahoy}, Commun. Stat., Theory Methods 41, No. 7--9, 1466--1477 (2012; Zbl 1319.62073) Full Text: DOI
D’Ovidio, Mirko From Sturm-Liouville problems to fractional and anomalous diffusions. (English) Zbl 1260.60159 Stochastic Processes Appl. 122, No. 10, 3513-3544 (2012). Reviewer: Enzo Orsingher (Roma) MSC: 60J60 60G22 60H10 26A33 PDFBibTeX XMLCite \textit{M. D'Ovidio}, Stochastic Processes Appl. 122, No. 10, 3513--3544 (2012; Zbl 1260.60159) Full Text: DOI arXiv
Luchko, Yury; Mainardi, Francesco; Rogosin, Sergei Professor Rudolf Gorenflo and his contribution to fractional calculus. (English) Zbl 1273.01048 Fract. Calc. Appl. Anal. 14, No. 1, 3-18 (2011). MSC: 01A70 01A60 26-03 26A33 PDFBibTeX XMLCite \textit{Y. Luchko} et al., Fract. Calc. Appl. Anal. 14, No. 1, 3--18 (2011; Zbl 1273.01048) Full Text: DOI Link
Baleanu, Dumitru; Trujillo, Juan I. A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. (English) Zbl 1221.34008 Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1111-1115 (2010). MSC: 34A08 26A33 45J05 70H03 PDFBibTeX XMLCite \textit{D. Baleanu} and \textit{J. I. Trujillo}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1111--1115 (2010; Zbl 1221.34008) Full Text: DOI
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey. (English) Zbl 1222.60060 Int. J. Differ. Equ. 2010, Article ID 104505, 29 p. (2010). MSC: 60J60 26A33 60G17 35R11 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Int. J. Differ. Equ. 2010, Article ID 104505, 29 p. (2010; Zbl 1222.60060) Full Text: DOI arXiv EuDML
Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M. On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative. (English) Zbl 1170.70324 Nonlinear Dyn. 53, No. 1-2, 67-74 (2008). MSC: 70H03 70H05 26A33 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Nonlinear Dyn. 53, No. 1--2, 67--74 (2008; Zbl 1170.70324) Full Text: DOI arXiv
Gorenflo, Rudolf; Mainardi, Francesco; Vivoli, Alessandro Continuous-time random walk and parametric subordination in fractional diffusion. (English) Zbl 1142.82363 Chaos Solitons Fractals 34, No. 1, 87-103 (2007). MSC: 82C41 82C70 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Chaos Solitons Fractals 34, No. 1, 87--103 (2007; Zbl 1142.82363) Full Text: DOI arXiv
Mainardi, Francesco; Pagnini, Gianni; Saxena, R. K. Fox \(H\) functions in fractional diffusion. (English) Zbl 1061.33012 J. Comput. Appl. Math. 178, No. 1-2, 321-331 (2005). MSC: 33C60 33C20 33E12 33E20 33E30 26A33 44A15 60G18 60J60 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Comput. Appl. Math. 178, No. 1--2, 321--331 (2005; Zbl 1061.33012) Full Text: DOI