Apelblat, Alexander; González-Santander, Juan Luis Differentiation of integral Mittag-Leffler and integral wright functions with respect to parameters. (English) Zbl 1511.33012 Fract. Calc. Appl. Anal. 26, No. 2, 567-598 (2023). MSC: 33E12 33B15 33C20 PDFBibTeX XMLCite \textit{A. Apelblat} and \textit{J. L. González-Santander}, Fract. Calc. Appl. Anal. 26, No. 2, 567--598 (2023; Zbl 1511.33012) Full Text: DOI
Li, Chenkuan On the generalized fractional Laplacian. (English) Zbl 1498.26012 Fract. Calc. Appl. Anal. 24, No. 6, 1797-1830 (2021). MSC: 26A33 47G30 46F10 33B15 PDFBibTeX XMLCite \textit{C. Li}, Fract. Calc. Appl. Anal. 24, No. 6, 1797--1830 (2021; Zbl 1498.26012) Full Text: DOI
Paris, Richard B.; Consiglio, Armando; Mainardi, Francesco On the asymptotics of Wright functions of the second kind. (English) Zbl 1474.30015 Fract. Calc. Appl. Anal. 24, No. 1, 54-72 (2021). MSC: 30B10 30E15 33C20 34E05 41A60 PDFBibTeX XMLCite \textit{R. B. Paris} et al., Fract. Calc. Appl. Anal. 24, No. 1, 54--72 (2021; Zbl 1474.30015) Full Text: DOI arXiv Link
Kolokoltsov, Vassili N. The probabilistic point of view on the generalized fractional partial differential equations. (English) Zbl 1483.35002 Fract. Calc. Appl. Anal. 22, No. 3, 543-600 (2019). MSC: 35-02 35R11 35S05 35S15 60J25 60J35 60J50 PDFBibTeX XMLCite \textit{V. N. Kolokoltsov}, Fract. Calc. Appl. Anal. 22, No. 3, 543--600 (2019; Zbl 1483.35002) Full Text: DOI
Dorjgotov, Khongorzul; Ochiai, Hiroyuki; Zunderiya, Uuganbayar On solutions of linear fractional differential equations and systems thereof. (English) Zbl 1426.34010 Fract. Calc. Appl. Anal. 22, No. 2, 479-494 (2019). MSC: 34A08 34A05 PDFBibTeX XMLCite \textit{K. Dorjgotov} et al., Fract. Calc. Appl. Anal. 22, No. 2, 479--494 (2019; Zbl 1426.34010) Full Text: DOI arXiv
Karp, Dmitrii B.; López, José L. An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions. (English) Zbl 1426.33018 Fract. Calc. Appl. Anal. 21, No. 5, 1360-1376 (2018). MSC: 33C20 26A33 33C60 PDFBibTeX XMLCite \textit{D. B. Karp} and \textit{J. L. López}, Fract. Calc. Appl. Anal. 21, No. 5, 1360--1376 (2018; Zbl 1426.33018) Full Text: DOI Link
Burtseva, Evgeniya; Samko, Natasha On weighted generalized fractional and Hardy-type operators acting between Morrey-type spaces. (English) Zbl 06889424 Fract. Calc. Appl. Anal. 20, No. 6, 1545-1566 (2017). MSC: 47B38 46E30 42B35 42B25 PDFBibTeX XMLCite \textit{E. Burtseva} and \textit{N. Samko}, Fract. Calc. Appl. Anal. 20, No. 6, 1545--1566 (2017; Zbl 06889424) Full Text: DOI
Luo, Min-Jie; Krishna Raina, Ravinder Fractional integral operators characterized by some new hypergeometric summation formulas. (English) Zbl 1364.26011 Fract. Calc. Appl. Anal. 20, No. 2, 422-446 (2017). MSC: 26A33 33C20 33C60 26D10 PDFBibTeX XMLCite \textit{M.-J. Luo} and \textit{R. Krishna Raina}, Fract. Calc. Appl. Anal. 20, No. 2, 422--446 (2017; Zbl 1364.26011) Full Text: DOI
Anh, Vo V.; Leonenko, Nikolai N.; Ruiz-Medina, María D. Fractional-in-time and multifractional-in-space stochastic partial differential equations. (English) Zbl 1355.60082 Fract. Calc. Appl. Anal. 19, No. 6, 1434-1459 (2016). MSC: 60H15 60G22 60G15 60G20 60G17 60G12 35R60 35S05 26A33 PDFBibTeX XMLCite \textit{V. V. Anh} et al., Fract. Calc. Appl. Anal. 19, No. 6, 1434--1459 (2016; Zbl 1355.60082) Full Text: DOI Link
Chen, Wen; Liang, Yingjie; Hei, Xindong Structural derivative based on inverse Mittag-Leffler function for modeling ultraslow diffusion. (English) Zbl 1499.35623 Fract. Calc. Appl. Anal. 19, No. 5, 1250-1261 (2016). MSC: 35R11 26A24 33E12 34A08 97K60 PDFBibTeX XMLCite \textit{W. Chen} et al., Fract. Calc. Appl. Anal. 19, No. 5, 1250--1261 (2016; Zbl 1499.35623) Full Text: DOI
Anh, Vo V.; Leonenko, Nikolai N.; Ruiz-Medina, María D. Space-time fractional stochastic equations on regular bounded open domains. (English) Zbl 1354.60065 Fract. Calc. Appl. Anal. 19, No. 5, 1161-1199 (2016). MSC: 60H15 60G22 60G60 60G15 60G20 60G17 60G12 26A33 PDFBibTeX XMLCite \textit{V. V. Anh} et al., Fract. Calc. Appl. Anal. 19, No. 5, 1161--1199 (2016; Zbl 1354.60065) Full Text: DOI arXiv Link
Burtseva, Evgeniya; Samko, Natasha Weighted Adams type theorem for the Riesz fractional integral in generalized Morrey space. (English) Zbl 1354.46030 Fract. Calc. Appl. Anal. 19, No. 4, 954-972 (2016). MSC: 46E30 42B35 42B25 47B38 PDFBibTeX XMLCite \textit{E. Burtseva} and \textit{N. Samko}, Fract. Calc. Appl. Anal. 19, No. 4, 954--972 (2016; Zbl 1354.46030) Full Text: DOI
Horrigue, Samah; Ouerdiane, Habib; Salhi, Imen Generalized fraction evolution equations with fractional Gross Laplacian. (English) Zbl 1351.60081 Fract. Calc. Appl. Anal. 19, No. 2, 394-407 (2016). MSC: 60H15 35R11 35R60 26A33 60H05 46F25 46G20 PDFBibTeX XMLCite \textit{S. Horrigue} et al., Fract. Calc. Appl. Anal. 19, No. 2, 394--407 (2016; Zbl 1351.60081) Full Text: DOI
Lukkassen, Dag; Persson, Lars-Erik; Samko, Natasha Hardy type operators in local vanishing Morrey spaces on fractal sets. (English) Zbl 1345.46023 Fract. Calc. Appl. Anal. 18, No. 5, 1252-1276 (2015). MSC: 46E30 42B35 42B25 47B38 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Fract. Calc. Appl. Anal. 18, No. 5, 1252--1276 (2015; Zbl 1345.46023) Full Text: DOI
Linchuk, Stepan S.; Linchuk, Yuriy S. A description of derivation operators with respect to convolution of generalized Gel’fond-Leont’ev integration. (English) Zbl 1323.47042 Fract. Calc. Appl. Anal. 18, No. 4, 972-981 (2015). MSC: 47B38 26A33 44A35 42A45 47B33 PDFBibTeX XMLCite \textit{S. S. Linchuk} and \textit{Y. S. Linchuk}, Fract. Calc. Appl. Anal. 18, No. 4, 972--981 (2015; Zbl 1323.47042) Full Text: DOI
Li, Chenkuan Several results of fractional derivatives in \(D'(\mathbb R_+)\). (Several results of fractional derivatives in \(D'(R_+)\).) (English) Zbl 1335.46033 Fract. Calc. Appl. Anal. 18, No. 1, 192-207 (2015). MSC: 46F10 26A33 PDFBibTeX XMLCite \textit{C. Li}, Fract. Calc. Appl. Anal. 18, No. 1, 192--207 (2015; Zbl 1335.46033) Full Text: DOI
Tomovski, Živorad; Garra, Roberto Analytic solutions of fractional integro-differential equations of Volterra type with variable coefficients. (English) Zbl 1314.45009 Fract. Calc. Appl. Anal. 17, No. 1, 38-60 (2014). MSC: 45J05 34A08 33C20 33E12 PDFBibTeX XMLCite \textit{Ž. Tomovski} and \textit{R. Garra}, Fract. Calc. Appl. Anal. 17, No. 1, 38--60 (2014; Zbl 1314.45009) Full Text: DOI
Rossikhin, Yury A.; Shitikova, Marina V. Centennial jubilee of Academician Rabotnov and contemporary handling of his fractional operator. (English) Zbl 1310.01022 Fract. Calc. Appl. Anal. 17, No. 3, 674-683 (2014). MSC: 01A70 01A60 26-03 74-03 26A33 33E12 34A08 74D05 74G50 PDFBibTeX XMLCite \textit{Y. A. Rossikhin} and \textit{M. V. Shitikova}, Fract. Calc. Appl. Anal. 17, No. 3, 674--683 (2014; Zbl 1310.01022) 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 Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation. (English) Zbl 1276.26018 Fract. Calc. Appl. Anal. 15, No. 1, 141-160 (2012). MSC: 26A33 35B45 35B50 45K05 35R11 PDFBibTeX XMLCite \textit{Y. Luchko}, Fract. Calc. Appl. Anal. 15, No. 1, 141--160 (2012; Zbl 1276.26018) Full Text: DOI arXiv
Tomovski, Živorad; Pogáni, Tibor K. Integral expressions for Mathieu-type power series and for the Butzer-Flocke-Hauss \(\Omega\)-function. (English) Zbl 1273.33016 Fract. Calc. Appl. Anal. 14, No. 4, 623-634 (2011). MSC: 33E20 40A10 26A33 33C20 44A20 PDFBibTeX XMLCite \textit{Ž. Tomovski} and \textit{T. K. Pogáni}, Fract. Calc. Appl. Anal. 14, No. 4, 623--634 (2011; Zbl 1273.33016) Full Text: DOI
Kilbas, Anatoly A.; Sebastian, Nicy Fractional integration of the product of Bessel functions of the first kind. (English) Zbl 1211.26005 Fract. Calc. Appl. Anal. 13, No. 2, 159-175 (2010). MSC: 26A33 33C10 33C20 33C50 33C60 26A09 PDFBibTeX XMLCite \textit{A. A. Kilbas} and \textit{N. Sebastian}, Fract. Calc. Appl. Anal. 13, No. 2, 159--175 (2010; Zbl 1211.26005) Full Text: EuDML
Kilbas, Anatoly A.; Repin, Oleg A. An analog of the Tricomi problem for a mixed type equation with a partial fractional derivative. (English) Zbl 1201.35148 Fract. Calc. Appl. Anal. 13, No. 1, 69-84 (2010). Reviewer: Elena Gavrilova (Sofia) MSC: 35M10 35R11 26A33 33C05 33E12 33C20 PDFBibTeX XMLCite \textit{A. A. Kilbas} and \textit{O. A. Repin}, Fract. Calc. Appl. Anal. 13, No. 1, 69--84 (2010; Zbl 1201.35148) Full Text: EuDML
Saha, U. K.; Arora, L. K.; Arora, A. K. On the relationships of the \(R\)-function of Lorenzo and Hartley with other special functions of fractional calculus. (English) Zbl 1198.33015 Fract. Calc. Appl. Anal. 12, No. 4, 453-458 (2009). MSC: 33E50 26A33 33E20 PDFBibTeX XMLCite \textit{U. K. Saha} et al., Fract. Calc. Appl. Anal. 12, No. 4, 453--458 (2009; Zbl 1198.33015)
Kilbas, Anatoly A.; Zhukovskaya, Natalia V. Euler-type non-homogeneous differential equations with three Liouville fractional derivatives. (English) Zbl 1204.34009 Fract. Calc. Appl. Anal. 12, No. 2, 205-234 (2009). Reviewer: Samir Bashir Hadid (Ajman) MSC: 34A08 34A05 44A99 33C20 34A30 34A25 PDFBibTeX XMLCite \textit{A. A. Kilbas} and \textit{N. V. Zhukovskaya}, Fract. Calc. Appl. Anal. 12, No. 2, 205--234 (2009; Zbl 1204.34009)
Tomovski, Živorad On Hankel transform of generalized Mathieu series. (English) Zbl 1179.33041 Fract. Calc. Appl. Anal. 12, No. 1, 97-107 (2009). MSC: 33E20 44A10 33C10 33C20 44A20 PDFBibTeX XMLCite \textit{Ž. Tomovski}, Fract. Calc. Appl. Anal. 12, No. 1, 97--107 (2009; Zbl 1179.33041) Full Text: EuDML
Guliyev, Emin V. On limiting case of the Stein-Weiss type inequality for the \(B\)-Riesz potentials. (English) Zbl 1173.42006 Fract. Calc. Appl. Anal. 12, No. 1, 39-46 (2009). MSC: 42B20 42B25 42B35 PDFBibTeX XMLCite \textit{E. V. Guliyev}, Fract. Calc. Appl. Anal. 12, No. 1, 39--46 (2009; Zbl 1173.42006) Full Text: EuDML
Virchenko, Nina A.; Rumiantseva, Olena V. On the generalized associated Legendre functions. (English) Zbl 1167.33303 Fract. Calc. Appl. Anal. 11, No. 2, 175-185 (2008). Reviewer: Jaebum Sohn (Urbana) MSC: 33C20 33C60 44A15 PDFBibTeX XMLCite \textit{N. A. Virchenko} and \textit{O. V. Rumiantseva}, Fract. Calc. Appl. Anal. 11, No. 2, 175--185 (2008; Zbl 1167.33303) Full Text: EuDML
Gadjiev, Akif D.; Guliyev, Vagif S. The Stein-Weiss type inequality for fractional integrals, associated with the Laplace-Bessel differential operator. (English) Zbl 1141.42008 Fract. Calc. Appl. Anal. 11, No. 1, 77-90 (2008). MSC: 42B20 42B25 42B35 PDFBibTeX XMLCite \textit{A. D. Gadjiev} and \textit{V. S. Guliyev}, Fract. Calc. Appl. Anal. 11, No. 1, 77--90 (2008; Zbl 1141.42008) Full Text: EuDML
Rafeiro, Humberto; Samko, Stefan On a class of fractional type integral equations in variable exponent spaces. (English) Zbl 1152.45003 Fract. Calc. Appl. Anal. 10, No. 4, 399-421 (2007). Reviewer: Changpin Li (Shanghai) MSC: 45E10 45P05 46E30 26A33 PDFBibTeX XMLCite \textit{H. Rafeiro} and \textit{S. Samko}, Fract. Calc. Appl. Anal. 10, No. 4, 399--421 (2007; Zbl 1152.45003) Full Text: EuDML
Kilbas, Anatoly A.; Saxena, R. K.; Trujillo, Juan J. Krätzel functions as a function of hypergeometric type. (English) Zbl 1128.33012 Fract. Calc. Appl. Anal. 9, No. 2, 109-131 (2006). MSC: 33C60 33C20 44A15 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., Fract. Calc. Appl. Anal. 9, No. 2, 109--131 (2006; Zbl 1128.33012) Full Text: EuDML
Virchenko, Nina On the generalized confluent hypergeometric function and its application. (English) Zbl 1128.33006 Fract. Calc. Appl. Anal. 9, No. 2, 101-108 (2006). MSC: 33C20 26A33 PDFBibTeX XMLCite \textit{N. Virchenko}, Fract. Calc. Appl. Anal. 9, No. 2, 101--108 (2006; Zbl 1128.33006) Full Text: EuDML
Saxena, R. K.; Saigo, Megumi Certain properties of fractional calculus operators associated with generalized Mittag-Leffler function. (English) Zbl 1144.26010 Fract. Calc. Appl. Anal. 8, No. 2, 141-154 (2005). Reviewer: Stefan G. Samko (Faro) MSC: 26A33 33C20 PDFBibTeX XMLCite \textit{R. K. Saxena} and \textit{M. Saigo}, Fract. Calc. Appl. Anal. 8, No. 2, 141--154 (2005; Zbl 1144.26010) Full Text: EuDML
Almeida, Alexandre Inversion of the Riesz potential operator on Lebesgue spaces with variable exponent. (English) Zbl 1094.42009 Fract. Calc. Appl. Anal. 6, No. 3, 311-327 (2003). MSC: 42B20 42B25 46E30 47B38 PDFBibTeX XMLCite \textit{A. Almeida}, Fract. Calc. Appl. Anal. 6, No. 3, 311--327 (2003; Zbl 1094.42009)
Aslam Chaudhry, M.; Zubair, S. M. Extended gamma and digamma functions. (English) Zbl 1028.33003 Fract. Calc. Appl. Anal. 4, No. 3, 303-324 (2001). MSC: 33B15 33B20 PDFBibTeX XMLCite \textit{M. Aslam Chaudhry} and \textit{S. M. Zubair}, Fract. Calc. Appl. Anal. 4, No. 3, 303--324 (2001; Zbl 1028.33003)
Kalla, Shyam L.; Al-Saqabi, Bader N. Further results on a unified form of gamma-type distributions. (English) Zbl 1027.62008 Fract. Calc. Appl. Anal. 4, No. 1, 91-100 (2001). MSC: 62E10 33C20 PDFBibTeX XMLCite \textit{S. L. Kalla} and \textit{B. N. Al-Saqabi}, Fract. Calc. Appl. Anal. 4, No. 1, 91--100 (2001; Zbl 1027.62008)
Gorenflo, Rudolf; Iskenderov, Asaf; Luchko, Yuri Mapping between solutions of fractional diffusion-wave equations. (English) Zbl 1033.35161 Fract. Calc. Appl. Anal. 3, No. 1, 75-86 (2000). MSC: 35S15 26A33 33C45 44A10 45K05 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Fract. Calc. Appl. Anal. 3, No. 1, 75--86 (2000; Zbl 1033.35161)
Al-Sirehy, Fatma; Fisher, Brian The composition of the functions \(|x|^{-\lambda}\) and \(|x|^{2r/\lambda}\). (English) Zbl 1032.46512 Fract. Calc. Appl. Anal. 2, No. 5, 575-582 (1999). MSC: 46F10 PDFBibTeX XMLCite \textit{F. Al-Sirehy} and \textit{B. Fisher}, Fract. Calc. Appl. Anal. 2, No. 5, 575--582 (1999; Zbl 1032.46512)
Mincheva, Svetlana T. On the automorphisms of \(L^ 1\) commuting with a generalized integration operator. (English) Zbl 1043.47505 Fract. Calc. Appl. Anal. 2, No. 4, 489-500 (1999). MSC: 47B38 46E30 45P05 47A16 PDFBibTeX XMLCite \textit{S. T. Mincheva}, Fract. Calc. Appl. Anal. 2, No. 4, 489--500 (1999; Zbl 1043.47505)
Aliev, Ilham A.; Bayrakci, Simten On inversion of \(B\)-elliptic potentials by the method of Balakrishnan-Rubin. (English) Zbl 1044.35025 Fract. Calc. Appl. Anal. 1, No. 4, 365-384 (1998). MSC: 35J99 31B20 42B20 47B38 26A33 44A35 31B35 PDFBibTeX XMLCite \textit{I. A. Aliev} and \textit{S. Bayrakci}, Fract. Calc. Appl. Anal. 1, No. 4, 365--384 (1998; Zbl 1044.35025)
Kilbas, A. A.; Bonilla, B.; Rivero, M.; Rodriguez, J. Compositions of Bessel type integral transform with fractional operators on spaces \(\mathcal F_{p,\mu}\) and \(\mathcal F^\prime_{p,\mu}\). (English) Zbl 0940.44003 Fract. Calc. Appl. Anal. 1, No. 2, 135-150 (1998). Reviewer: Virginia S.Kiryakova (Sofia) MSC: 44A15 33C10 26A33 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., Fract. Calc. Appl. Anal. 1, No. 2, 135--150 (1998; Zbl 0940.44003)
Galué, L.; Kalla, S. Some recurrence relations for the generalized hypergeometric functions of the Gauss type. (English) Zbl 0938.33003 Fract. Calc. Appl. Anal. 1, No. 1, 49-62 (1998). Reviewer: Virginia S.Kiryakova (Sofia) MSC: 33C20 33C05 PDFBibTeX XMLCite \textit{L. Galué} and \textit{S. Kalla}, Fract. Calc. Appl. Anal. 1, No. 1, 49--62 (1998; Zbl 0938.33003)