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
Das, Subhajit; Rahman, Md Sadikur; Shaikh, Ali Akbar; Bhunia, Asoke Kumar; Konstantaras, Ioannis Interval Laplace transform and its application in production inventory. (English) Zbl 07781782 Math. Methods Appl. Sci. 46, No. 4, 3983-4002 (2023). MSC: 44A10 65G40 65R10 90B05 PDFBibTeX XMLCite \textit{S. Das} et al., Math. Methods Appl. Sci. 46, No. 4, 3983--4002 (2023; Zbl 07781782) Full Text: DOI
Ferrás, Luís L.; Morgado, M. Luísa; Rebelo, Magda A generalised distributed-order Maxwell model. (English) Zbl 07781130 Math. Methods Appl. Sci. 46, No. 1, 368-387 (2023). MSC: 76A10 44A10 PDFBibTeX XMLCite \textit{L. L. Ferrás} et al., Math. Methods Appl. Sci. 46, No. 1, 368--387 (2023; Zbl 07781130) Full Text: DOI arXiv
Yu, Qiang; Turner, Ian; Liu, Fawang; Moroney, Timothy A study of distributed-order time fractional diffusion models with continuous distribution weight functions. (English) Zbl 07779715 Numer. Methods Partial Differ. Equations 39, No. 1, 383-420 (2023). MSC: 65M06 65M12 65D32 44A10 35B40 PDFBibTeX XMLCite \textit{Q. Yu} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 383--420 (2023; Zbl 07779715) Full Text: DOI
Aguilar, Jean-Philippe; Kirkby, Justin Lars Closed-form option pricing for exponential Lévy models: a residue approach. (English) Zbl 1518.91270 Quant. Finance 23, No. 2, 251-278 (2023). MSC: 91G20 60G51 44A10 PDFBibTeX XMLCite \textit{J.-P. Aguilar} and \textit{J. L. Kirkby}, Quant. Finance 23, No. 2, 251--278 (2023; Zbl 1518.91270) Full Text: DOI
Pskhu, A. V. D’Alembert formula for diffusion-wave equation. (English) Zbl 07688847 Lobachevskii J. Math. 44, No. 2, 644-652 (2023). MSC: 26Axx 44Axx 35Rxx PDFBibTeX XMLCite \textit{A. V. Pskhu}, Lobachevskii J. Math. 44, No. 2, 644--652 (2023; Zbl 07688847) Full Text: DOI
Kumar, Anish; Das, Sourav Integral transforms and probability distributions for a certain class of fox-wright type functions and its applications. (English) Zbl 07594659 Math. Comput. Simul. 203, 803-825 (2023). MSC: 44-XX 65-XX PDFBibTeX XMLCite \textit{A. Kumar} and \textit{S. Das}, Math. Comput. Simul. 203, 803--825 (2023; Zbl 07594659) Full Text: DOI
Tomovski, Živorad; Metzler, Ralf; Gerhold, Stefan Fractional characteristic functions, and a fractional calculus approach for moments of random variables. (English) Zbl 1503.26013 Fract. Calc. Appl. Anal. 25, No. 4, 1307-1323 (2022). MSC: 26A33 60E10 33E12 44A10 44A20 PDFBibTeX XMLCite \textit{Ž. Tomovski} et al., Fract. Calc. Appl. Anal. 25, No. 4, 1307--1323 (2022; Zbl 1503.26013) Full Text: DOI
Aceto, Lidia; Durastante, Fabio Efficient computation of the Wright function and its applications to fractional diffusion-wave equations. (English) Zbl 1508.65014 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2181-2196 (2022). MSC: 65D20 65D30 44A10 26A33 33E12 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{F. Durastante}, ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2181--2196 (2022; Zbl 1508.65014) 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
Ansari, Alireza; Derakhshan, Mohammad Hossein; Askari, Hassan Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration. (English) Zbl 1500.35290 Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022). MSC: 35R11 26A33 35A08 35C15 44A10 44A20 PDFBibTeX XMLCite \textit{A. Ansari} et al., Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022; Zbl 1500.35290) Full Text: DOI
Au, Vo Van; Singh, Jagdev; Nguyen, Anh Tuan Well-posedness results and blow-up for a semi-linear time fractional diffusion equation with variable coefficients. (English) Zbl 1478.35218 Electron. Res. Arch. 29, No. 6, 3581-3607 (2021). MSC: 35R11 26A33 35K15 35B40 35B44 33E12 44A20 PDFBibTeX XMLCite \textit{V. Van Au} et al., Electron. Res. Arch. 29, No. 6, 3581--3607 (2021; Zbl 1478.35218) Full Text: DOI
Lin, Guoxing Describing NMR relaxation by effective phase diffusion equation. (English) Zbl 1469.78002 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105825, 15 p. (2021). MSC: 78A25 33E12 60G60 44A10 42A38 34A08 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105825, 15 p. (2021; Zbl 1469.78002) Full Text: DOI arXiv
Khan, Nabiullah; Usman, Talha; Aman, Mohd Generalized Wright function and its properties using extended beta function. (English) Zbl 1454.33004 Tamkang J. Math. 51, No. 4, 349-363 (2020). MSC: 33B15 33C10 33C15 33E12 33E50 44A15 PDFBibTeX XMLCite \textit{N. Khan} et al., Tamkang J. Math. 51, No. 4, 349--363 (2020; Zbl 1454.33004) Full Text: DOI
Rubin, Boris; Wang, Yingzhan Erdélyi-Kober fractional integrals and Radon transforms for mutually orthogonal affine planes. (English) Zbl 1462.44003 Fract. Calc. Appl. Anal. 23, No. 4, 967-979 (2020). MSC: 44A12 28A75 PDFBibTeX XMLCite \textit{B. Rubin} and \textit{Y. Wang}, Fract. Calc. Appl. Anal. 23, No. 4, 967--979 (2020; Zbl 1462.44003) Full Text: DOI
Al-Kandari, M.; Hanna, L. A-M.; Luchko, Yu. F. Transmutations of the composed Erdélyi-Kober fractional operators and their applications. (English) Zbl 1494.44004 Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 479-508 (2020). MSC: 44A15 44A35 47G20 26A33 44-02 PDFBibTeX XMLCite \textit{M. Al-Kandari} et al., in: Transmutation operators and applications. Cham: Birkhäuser. 479--508 (2020; Zbl 1494.44004) Full Text: DOI
Saifia, O.; Boucenna, D.; Chidouh, A. Study of Mainardi’s fractional heat problem. (English) Zbl 1442.35522 J. Comput. Appl. Math. 378, Article ID 112943, 8 p. (2020). MSC: 35R11 80A19 44A10 PDFBibTeX XMLCite \textit{O. Saifia} et al., J. Comput. Appl. Math. 378, Article ID 112943, 8 p. (2020; Zbl 1442.35522) Full Text: DOI
Hanna, Latif A-M.; Al-Kandari, Maryam; Luchko, Yuri Operational method for solving fractional differential equations with the left-and right-hand sided Erdélyi-Kober fractional derivatives. (English) Zbl 1441.34009 Fract. Calc. Appl. Anal. 23, No. 1, 103-125 (2020). MSC: 34A08 34A25 26A33 44A35 33E30 45J99 45D99 PDFBibTeX XMLCite \textit{L. A M. Hanna} et al., Fract. Calc. Appl. Anal. 23, No. 1, 103--125 (2020; Zbl 1441.34009) Full Text: DOI
Khan, N. U.; Usman, T.; Aman, M. Some properties concerning the analysis of generalized Wright function. (English) Zbl 1436.33002 J. Comput. Appl. Math. 376, Article ID 112840, 8 p. (2020). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 33B15 44A15 PDFBibTeX XMLCite \textit{N. U. Khan} et al., J. Comput. Appl. Math. 376, Article ID 112840, 8 p. (2020; Zbl 1436.33002) Full Text: DOI
Li, Zhiyuan; Fujishiro, Kenichi; Li, Gongsheng Uniqueness in the inversion of distributed orders in ultraslow diffusion equations. (English) Zbl 1430.35257 J. Comput. Appl. Math. 369, Article ID 112564, 13 p. (2020). MSC: 35R11 35R30 44A10 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Comput. Appl. Math. 369, Article ID 112564, 13 p. (2020; Zbl 1430.35257) Full Text: DOI arXiv
Li, Zhiyuan; Yamamoto, Masahiro Unique continuation principle for the one-dimensional time-fractional diffusion equation. (English) Zbl 1423.35404 Fract. Calc. Appl. Anal. 22, No. 3, 644-657 (2019). MSC: 35R11 35B53 44A10 PDFBibTeX XMLCite \textit{Z. Li} and \textit{M. Yamamoto}, Fract. Calc. Appl. Anal. 22, No. 3, 644--657 (2019; Zbl 1423.35404) Full Text: DOI arXiv
Al-Kandari, M.; Hanna, L. A.-M.; Luchko, Yu. F. A convolution family in the Dimovski sense for the composed Erdélyi-Kober fractional integrals. (English) Zbl 1408.26005 Integral Transforms Spec. Funct. 30, No. 5, 400-417 (2019). MSC: 26A33 33E30 44A35 PDFBibTeX XMLCite \textit{M. Al-Kandari} et al., Integral Transforms Spec. Funct. 30, No. 5, 400--417 (2019; Zbl 1408.26005) Full Text: DOI
Aguilar, Jean-Philippe; Coste, Cyril; Korbel, Jan Series representation of the pricing formula for the European option driven by space-time fractional diffusion. (English) Zbl 1422.91675 Fract. Calc. Appl. Anal. 21, No. 4, 981-1004 (2018). MSC: 91G20 26A33 60G22 44A10 PDFBibTeX XMLCite \textit{J.-P. Aguilar} et al., Fract. Calc. Appl. Anal. 21, No. 4, 981--1004 (2018; Zbl 1422.91675) Full Text: DOI arXiv
Mathai, A. M. Mellin convolutions, statistical distributions and fractional calculus. (English) Zbl 1414.44004 Fract. Calc. Appl. Anal. 21, No. 2, 376-398 (2018). Reviewer: Pushpa N. Rathie (Brasilia) MSC: 44A35 62E15 26B12 26A33 60E10 33C60 PDFBibTeX XMLCite \textit{A. M. Mathai}, Fract. Calc. Appl. Anal. 21, No. 2, 376--398 (2018; Zbl 1414.44004) Full Text: DOI
Baumann, Gerd; Stenger, Frank Fractional Fokker-Planck equation. (English) Zbl 1365.65028 Mathematics 5, No. 1, Paper No. 12, 19 p. (2017). MSC: 65D05 65D30 44A35 81-04 35Q84 35R11 PDFBibTeX XMLCite \textit{G. Baumann} and \textit{F. Stenger}, Mathematics 5, No. 1, Paper No. 12, 19 p. (2017; Zbl 1365.65028) Full Text: DOI
Cheng, Xing; Li, Zhiyuan; Yamamoto, Masahiro Asymptotic behavior of solutions to space-time fractional diffusion-reaction equations. (English) Zbl 1372.35333 Math. Methods Appl. Sci. 40, No. 4, 1019-1031 (2017). MSC: 35R11 35B40 44A10 42B10 PDFBibTeX XMLCite \textit{X. Cheng} et al., Math. Methods Appl. Sci. 40, No. 4, 1019--1031 (2017; Zbl 1372.35333) Full Text: DOI arXiv
Moslehi, Leila; Ansari, Alireza On \(M\)-Wright transforms and time-fractional diffusion equations. (English) Zbl 1365.35215 Integral Transforms Spec. Funct. 28, No. 2, 113-129 (2017). MSC: 35R11 26A33 35C15 44A10 PDFBibTeX XMLCite \textit{L. Moslehi} and \textit{A. Ansari}, Integral Transforms Spec. Funct. 28, No. 2, 113--129 (2017; Zbl 1365.35215) Full Text: DOI
Barnes, Benedict Polynomial integral transform for solving differential equations. (English) Zbl 1364.34006 Eur. J. Pure Appl. Math. 9, No. 2, 140-151 (2016). MSC: 34A05 34A30 44A99 PDFBibTeX XMLCite \textit{B. Barnes}, Eur. J. Pure Appl. Math. 9, No. 2, 140--151 (2016; Zbl 1364.34006) Full Text: Link
Garrappa, Roberto; Mainardi, Francesco; Guido, Maione Models of dielectric relaxation based on completely monotone functions. (English) Zbl 1499.78010 Fract. Calc. Appl. Anal. 19, No. 5, 1105-1160 (2016). MSC: 78A48 26A33 33E12 34A08 26A48 44A10 PDFBibTeX XMLCite \textit{R. Garrappa} et al., Fract. Calc. Appl. Anal. 19, No. 5, 1105--1160 (2016; Zbl 1499.78010) Full Text: DOI arXiv
Moslehi, Leila; Ansari, Alireza Integral representations of products of Airy functions related to fractional calculus. (English) Zbl 1412.44002 J. Class. Anal. 7, No. 2, 99-112 (2015). MSC: 44A10 26A33 33C10 PDFBibTeX XMLCite \textit{L. Moslehi} and \textit{A. Ansari}, J. Class. Anal. 7, No. 2, 99--112 (2015; Zbl 1412.44002) Full Text: DOI
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
Saxena, Ram K.; Chauhan, Jignesh P.; Jana, Ranjan K.; Shukla, Ajay K. Further results on the generalized Mittag-Leffler function operator. (English) Zbl 1311.33013 J. Inequal. Appl. 2015, Paper No. 75, 12 p. (2015). MSC: 33E12 44A10 26A33 PDFBibTeX XMLCite \textit{R. K. Saxena} et al., J. Inequal. Appl. 2015, Paper No. 75, 12 p. (2015; Zbl 1311.33013) Full Text: DOI
Aghili, A.; Masomi, M. R. Integral transform method for solving time fractional systems and fractional heat equation. (English) Zbl 1413.44001 Bol. Soc. Parana. Mat. (3) 32, No. 1, 307-324 (2014). MSC: 44A10 26A33 34A08 34K37 35R11 PDFBibTeX XMLCite \textit{A. Aghili} and \textit{M. R. Masomi}, Bol. Soc. Parana. Mat. (3) 32, No. 1, 307--324 (2014; Zbl 1413.44001) Full Text: Link
Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations. (English) Zbl 1312.35184 Fract. Calc. Appl. Anal. 17, No. 4, 1114-1136 (2014). MSC: 35R11 35B40 35S11 44A10 PDFBibTeX XMLCite \textit{Z. Li} et al., Fract. Calc. Appl. Anal. 17, No. 4, 1114--1136 (2014; Zbl 1312.35184) Full Text: DOI
Takači, Djurdjica; Takači, Arpad; Takači, Aleksandar On the operational solutions of fuzzy fractional differential equations. (English) Zbl 1312.34004 Fract. Calc. Appl. Anal. 17, No. 4, 1100-1113 (2014). MSC: 34A07 34A08 34A30 44A10 PDFBibTeX XMLCite \textit{D. Takači} et al., Fract. Calc. Appl. Anal. 17, No. 4, 1100--1113 (2014; Zbl 1312.34004) Full Text: DOI
Ansari, Alireza; Sheikhani, Amirhossein Refahi New identities for the Wright and the Mittag-Leffler functions using the Laplace transform. (English) Zbl 1302.33019 Asian-Eur. J. Math. 7, No. 3, Article ID 1450038, 8 p. (2014). MSC: 33E12 44A10 PDFBibTeX XMLCite \textit{A. Ansari} and \textit{A. R. Sheikhani}, Asian-Eur. J. Math. 7, No. 3, Article ID 1450038, 8 p. (2014; Zbl 1302.33019) Full Text: DOI
Hanna, L. A-M.; Luchko, Yu. F. Operational calculus for the Caputo-type fractional Erdélyi-Kober derivative and its applications. (English) Zbl 1288.26004 Integral Transforms Spec. Funct. 25, No. 5, 359-373 (2014). Reviewer: Deshna Loonker (Jodhpur) MSC: 26A33 44A40 44A35 33E30 45J05 PDFBibTeX XMLCite \textit{L. A M. Hanna} and \textit{Yu. F. Luchko}, Integral Transforms Spec. Funct. 25, No. 5, 359--373 (2014; Zbl 1288.26004) Full Text: DOI
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
Dou, F. F.; Hon, Y. C. Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation. (English) Zbl 1352.65309 Eng. Anal. Bound. Elem. 36, No. 9, 1344-1352 (2012). MSC: 65M32 44A10 35R11 45K05 PDFBibTeX XMLCite \textit{F. F. Dou} and \textit{Y. C. Hon}, Eng. Anal. Bound. Elem. 36, No. 9, 1344--1352 (2012; Zbl 1352.65309) Full Text: DOI
Costa, F. S.; de Oliveira, E. Capelas Fractional wave-diffusion equation with periodic conditions. (English) Zbl 1278.35260 J. Math. Phys. 53, No. 12, 123520, 9 p. (2012). MSC: 35R11 44A10 42B05 PDFBibTeX XMLCite \textit{F. S. Costa} and \textit{E. C. de Oliveira}, J. Math. Phys. 53, No. 12, 123520, 9 p. (2012; Zbl 1278.35260) Full Text: DOI
Mathai, A. M.; Haubold, H. J. Matrix-variate statistical distributions and fractional calculus. (English) Zbl 1273.15041 Fract. Calc. Appl. Anal. 14, No. 1, 138-155 (2011). MSC: 15B52 62E15 15A15 26A33 33C60 33E12 44A20 PDFBibTeX XMLCite \textit{A. M. Mathai} and \textit{H. J. Haubold}, Fract. Calc. Appl. Anal. 14, No. 1, 138--155 (2011; Zbl 1273.15041) Full Text: DOI arXiv
Aghili, A.; Ansari, A. New method for solving system of P.F.D.E. and fractional evolution disturbance equation of distributed order. (English) Zbl 1225.44002 J. Interdiscip. Math. 13, No. 2, 167-183 (2010). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 44A15 45E10 45D05 35R11 35A22 PDFBibTeX XMLCite \textit{A. Aghili} and \textit{A. Ansari}, J. Interdiscip. Math. 13, No. 2, 167--183 (2010; Zbl 1225.44002) Full Text: DOI
Aghili, A.; Ansari, A. Solving partial fractional differential equations using the \(\mathcal L_A\)-transform. (English) Zbl 1195.26006 Asian-Eur. J. Math. 3, No. 2, 209-220 (2010). MSC: 26A33 44A10 44A15 44A35 PDFBibTeX XMLCite \textit{A. Aghili} and \textit{A. Ansari}, Asian-Eur. J. Math. 3, No. 2, 209--220 (2010; Zbl 1195.26006) Full Text: DOI
Kilbas, Anatoly A. Partial fractional differential equations and some of their applications. (English) Zbl 1210.35276 Analysis, München 30, No. 1, 35-66 (2010). Reviewer: Rudolf Gorenflo (Berlin) MSC: 35R11 26A33 45K05 35A22 44A10 42A38 60G22 33E12 PDFBibTeX XMLCite \textit{A. A. Kilbas}, Analysis, München 30, No. 1, 35--66 (2010; Zbl 1210.35276) Full Text: DOI
Takači, Djurdjica; Takači, Arpad; Štrboja, Mirjana On the character of operational solutions of the time-fractional diffusion equation. (English) Zbl 1196.26014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2367-2374 (2010). Reviewer: Tej Singh Nahar (Bhilwara) MSC: 26A33 44A45 44A40 65J10 PDFBibTeX XMLCite \textit{D. Takači} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2367--2374 (2010; Zbl 1196.26014) Full Text: DOI
Camargo, R. Figueiredo; Charnet, R.; de Oliveira, E. Capelas On some fractional Green’s functions. (English) Zbl 1215.35015 J. Math. Phys. 50, No. 4, 043514, 12 p. (2009). MSC: 35A08 35J08 44A15 PDFBibTeX XMLCite \textit{R. F. Camargo} et al., J. Math. Phys. 50, No. 4, 043514, 12 p. (2009; Zbl 1215.35015) Full Text: DOI
Mura, Antonio; Mainardi, Francesco A class of self-similar stochastic processes with stationary increments to model anomalous diffusion in physics. (English) Zbl 1173.26005 Integral Transforms Spec. Funct. 20, No. 3-4, 185-198 (2009). Reviewer: P. K. Banerji (Jodhpur) MSC: 26A33 33E12 33C60 44A10 60G18 PDFBibTeX XMLCite \textit{A. Mura} and \textit{F. Mainardi}, Integral Transforms Spec. Funct. 20, No. 3--4, 185--198 (2009; Zbl 1173.26005) Full Text: DOI arXiv
Marseguerra, M.; Zoia, A. Monte Carlo evaluation of FADE approach to anomalous kinetics. (English) Zbl 1138.65003 Math. Comput. Simul. 77, No. 4, 345-357 (2008). MSC: 65C05 65C35 44A10 45K05 PDFBibTeX XMLCite \textit{M. Marseguerra} and \textit{A. Zoia}, Math. Comput. Simul. 77, No. 4, 345--357 (2008; Zbl 1138.65003) Full Text: DOI arXiv
Zhang, Shuqin Solution of semi-boundless mixed problem for time-fractional telegraph equation. (English) Zbl 1149.45008 Acta Math. Appl. Sin., Engl. Ser. 23, No. 4, 611-618 (2007). Reviewer: V. Lakshmikantham (Melbourne/Florida) MSC: 45K05 26A33 35A22 35L15 44A10 42A38 PDFBibTeX XMLCite \textit{S. Zhang}, Acta Math. Appl. Sin., Engl. Ser. 23, No. 4, 611--618 (2007; Zbl 1149.45008) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni The role of the Fox-Wright functions in fractional sub-diffusion of distributed order. (English) Zbl 1120.35002 J. Comput. Appl. Math. 207, No. 2, 245-257 (2007). MSC: 35A08 35A22 26A33 33E12 33C45 33C60 44A10 45K05 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{G. Pagnini}, J. Comput. Appl. Math. 207, No. 2, 245--257 (2007; Zbl 1120.35002) Full Text: DOI arXiv
Weideman, J. A. C.; Trefethen, L. N. Parabolic and hyperbolic contours for computing the Bromwich integral. (English) Zbl 1113.65119 Math. Comput. 76, No. 259, 1341-1356 (2007). MSC: 65R10 44A10 45K05 35K05 26A33 35A22 PDFBibTeX XMLCite \textit{J. A. C. Weideman} and \textit{L. N. Trefethen}, Math. Comput. 76, No. 259, 1341--1356 (2007; Zbl 1113.65119) Full Text: DOI
Huang, F.; Liu, Fawang The space-time fractional diffusion equation with Caputo derivatives. (English) Zbl 1085.35003 J. Appl. Math. Comput. 19, No. 1-2, 179-190 (2005). MSC: 35A08 26A33 49K20 44A10 35S10 PDFBibTeX XMLCite \textit{F. Huang} and \textit{F. Liu}, J. Appl. Math. Comput. 19, No. 1--2, 179--190 (2005; Zbl 1085.35003) Full Text: DOI
Huang, F.; Liu, Fawang The fundamental solution of the space-time fractional advection-dispersion equation. (English) Zbl 1086.35003 J. Appl. Math. Comput. 18, No. 1-2, 339-350 (2005). MSC: 35A08 35K57 26A33 49K20 44A10 PDFBibTeX XMLCite \textit{F. Huang} and \textit{F. Liu}, J. Appl. Math. Comput. 18, No. 1--2, 339--350 (2005; Zbl 1086.35003) Full Text: DOI
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
Mainardi, Francesco Applications of integral transforms in fractional diffusion processes. (English) Zbl 1093.45003 Integral Transforms Spec. Funct. 15, No. 6, 477-484 (2004). Reviewer: Neville Ford (Chester) MSC: 45K05 44A10 26A33 33E12 42A38 35A22 60J60 35K05 PDFBibTeX XMLCite \textit{F. Mainardi}, Integral Transforms Spec. Funct. 15, No. 6, 477--484 (2004; Zbl 1093.45003) Full Text: DOI arXiv
Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P. Time fractional advection-dispersion equation. (English) Zbl 1068.26006 J. Appl. Math. Comput. 13, No. 1-2, 233-245 (2003). Reviewer: Rudolf Gorenflo (Berlin) MSC: 26A33 33D15 44A10 44A15 45K05 35K57 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Appl. Math. Comput. 13, No. 1--2, 233--245 (2003; Zbl 1068.26006) Full Text: DOI