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
Faghih, Amin; Rebelo, Magda A spectral approach to non-linear weakly singular fractional integro-differential equations. (English) Zbl 1509.45002 Fract. Calc. Appl. Anal. 26, No. 1, 370-398 (2023). MSC: 45E10 45J05 34K37 33C45 26A33 PDFBibTeX XMLCite \textit{A. Faghih} and \textit{M. Rebelo}, Fract. Calc. Appl. Anal. 26, No. 1, 370--398 (2023; Zbl 1509.45002) Full Text: DOI arXiv
Mainardi, Francesco; Paris, Richard B.; Consiglio, Armando Wright functions of the second kind and Whittaker functions. (English) Zbl 1503.33006 Fract. Calc. Appl. Anal. 25, No. 3, 858-875 (2022). MSC: 33C15 33C20 26A33 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Fract. Calc. Appl. Anal. 25, No. 3, 858--875 (2022; Zbl 1503.33006) 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
Cao, Jian; Srivastava, H. M.; Liu, Zhi-Guo Some iterated fractional \(q\)-integrals and their applications. (English) Zbl 1403.05012 Fract. Calc. Appl. Anal. 21, No. 3, 672-695 (2018). MSC: 05A15 11B65 26A33 33D15 33D45 33D60 39A13 PDFBibTeX XMLCite \textit{J. Cao} et al., Fract. Calc. Appl. Anal. 21, No. 3, 672--695 (2018; Zbl 1403.05012) Full Text: DOI
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
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
Bouzeffour, Fethi Fractional integration operator on some radial rays and intertwining for the Dunkl operator. (English) Zbl 1342.33019 Fract. Calc. Appl. Anal. 19, No. 3, 725-740 (2016). MSC: 33C45 26A33 42A38 PDFBibTeX XMLCite \textit{F. Bouzeffour}, Fract. Calc. Appl. Anal. 19, No. 3, 725--740 (2016; Zbl 1342.33019) Full Text: DOI
Doungmo Goufo, Emile Franc A biomathematical view on the fractional dynamics of cellulose degradation. (English) Zbl 1316.26004 Fract. Calc. Appl. Anal. 18, No. 3, 554-564 (2015). MSC: 26A33 37N25 33E12 33C20 PDFBibTeX XMLCite \textit{E. F. Doungmo Goufo}, Fract. Calc. Appl. Anal. 18, No. 3, 554--564 (2015; Zbl 1316.26004) Full Text: DOI
Stern, Robin; Effenberger, Frederic; Fichtner, Horst; Schäfer, Tobias The space-fractional diffusion-advection equation: analytical solutions and critical assessment of numerical solutions. (English) Zbl 1312.35188 Fract. Calc. Appl. Anal. 17, No. 1, 171-190 (2014). MSC: 35R11 33C60 60J60 65C05 65M06 35R60 PDFBibTeX XMLCite \textit{R. Stern} et al., Fract. Calc. Appl. Anal. 17, No. 1, 171--190 (2014; Zbl 1312.35188) Full Text: DOI arXiv
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
Esmaeili, Shahrokh; Milovanović, Gradimir Nonstandard Gauss-Lobatto quadrature approximation to fractional derivatives. (English) Zbl 1314.65037 Fract. Calc. Appl. Anal. 17, No. 4, 1075-1099 (2014). MSC: 65D30 33C45 41A55 65D32 26A33 PDFBibTeX XMLCite \textit{S. Esmaeili} and \textit{G. Milovanović}, Fract. Calc. Appl. Anal. 17, No. 4, 1075--1099 (2014; Zbl 1314.65037) Full Text: DOI
Kiryakova, Virginia From the hyper-Bessel operators of Dimovski to the generalized fractional calculus. (English) Zbl 1314.44003 Fract. Calc. Appl. Anal. 17, No. 4, 977-1000 (2014). MSC: 44A40 26A33 33C10 44-03 01A60 33C60 PDFBibTeX XMLCite \textit{V. Kiryakova}, Fract. Calc. Appl. Anal. 17, No. 4, 977--1000 (2014; Zbl 1314.44003) Full Text: DOI
Mathai, A.; Haubold, Hans Fractional operators in the matrix variate case. (English) Zbl 1488.26020 Fract. Calc. Appl. Anal. 16, No. 2, 469-478 (2013). MSC: 26A33 33C60 33E12 33E20 PDFBibTeX XMLCite \textit{A. Mathai} and \textit{H. Haubold}, Fract. Calc. Appl. Anal. 16, No. 2, 469--478 (2013; Zbl 1488.26020) Full Text: DOI arXiv
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
Kilbas, Anatoly; Koroleva, Anna; Rogosin, Sergei Multi-parametric Mittag-Leffler functions and their extension. (English) Zbl 1312.33058 Fract. Calc. Appl. Anal. 16, No. 2, 378-404 (2013). MSC: 33E12 33C60 26A33 PDFBibTeX XMLCite \textit{A. Kilbas} et al., Fract. Calc. Appl. Anal. 16, No. 2, 378--404 (2013; Zbl 1312.33058) Full Text: DOI
Furati, Khaled Bounds on the solution of a Cauchy-type problem involving a weighted sequential fractional derivative. (English) Zbl 1312.34014 Fract. Calc. Appl. Anal. 16, No. 1, 171-188 (2013). MSC: 34A08 33C05 45J05 34A34 34A12 PDFBibTeX XMLCite \textit{K. Furati}, Fract. Calc. Appl. Anal. 16, No. 1, 171--188 (2013; Zbl 1312.34014) Full Text: DOI Link
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
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
Kumar, Dilip; Kilbas, Anatoly A. Fractional calculus of \({\mathcal P}\)-transforms. (English) Zbl 1228.44009 Fract. Calc. Appl. Anal. 13, No. 3, 309-328 (2010). Reviewer: Lothar Berg (Rostock) MSC: 44A20 33C60 44A10 26A33 33C20 85A99 PDFBibTeX XMLCite \textit{D. Kumar} and \textit{A. A. Kilbas}, Fract. Calc. Appl. Anal. 13, No. 3, 309--328 (2010; Zbl 1228.44009) Full Text: EuDML
Samuel, M. S; Thomas, Anitha On fractional Helmholtz equations. (English) Zbl 1223.26013 Fract. Calc. Appl. Anal. 13, No. 3, 295-308 (2010). MSC: 26A33 33E12 33C60 35R11 PDFBibTeX XMLCite \textit{M. S Samuel} and \textit{A. Thomas}, Fract. Calc. Appl. Anal. 13, No. 3, 295--308 (2010; Zbl 1223.26013) Full Text: EuDML
Saxena, R. K.; Saxena, Ravi; Kalla, S. L. Solution of space-time fractional Schrödinger equation occurring in quantum mechanics. (English) Zbl 1211.26010 Fract. Calc. Appl. Anal. 13, No. 2, 177-190 (2010). MSC: 26A33 44A10 33C60 35J10 PDFBibTeX XMLCite \textit{R. K. Saxena} et al., Fract. Calc. Appl. Anal. 13, No. 2, 177--190 (2010; Zbl 1211.26010) Full Text: EuDML
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
Haubold, Hans J.; Kumar, Dilip; Nair, Seema S.; Joseph, Dhannya P. Special functions and pathways for problems in astrophysics: an essay in honor of A. M. Mathai. (English) Zbl 1219.85001 Fract. Calc. Appl. Anal. 13, No. 2, 133-157 (2010). Reviewer: Paninjukunnath Achuthan (Madras) MSC: 85-03 33C05 01A60 01A70 83F05 83C55 85A15 94A17 83C75 76W05 PDFBibTeX XMLCite \textit{H. J. Haubold} et al., Fract. Calc. Appl. Anal. 13, No. 2, 133--157 (2010; Zbl 1219.85001) Full Text: EuDML
Rusev, Peter Hermite polynomials and the zero-distribution of Riemann’s \(\zeta\)-function. (English) Zbl 1219.11128 Fract. Calc. Appl. Anal. 13, No. 1, 85-95 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11M26 33C45 42A38 PDFBibTeX XMLCite \textit{P. Rusev}, Fract. Calc. Appl. Anal. 13, No. 1, 85--95 (2010; Zbl 1219.11128) 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)
Sharma, Manoj; Jain, Renu A note on a generalized \(M\)-series as a special function of fractional calculus. (English) Zbl 1196.26013 Fract. Calc. Appl. Anal. 12, No. 4, 449-452 (2009). MSC: 26A33 33C60 44A15 PDFBibTeX XMLCite \textit{M. Sharma} and \textit{R. Jain}, Fract. Calc. Appl. Anal. 12, No. 4, 449--452 (2009; Zbl 1196.26013)
Nouri, Ferjani; Bouaziz, Slim; Bettaibi, Néji On a Paley-Wiener theorem and a \(q\)-sampling formula for the \(q\)-Dunkl transform. (English) Zbl 1198.33010 Fract. Calc. Appl. Anal. 12, No. 4, 359-372 (2009). MSC: 33D15 33D60 42A38 39A10 44A12 44A20 PDFBibTeX XMLCite \textit{F. Nouri} et al., Fract. Calc. Appl. Anal. 12, No. 4, 359--372 (2009; Zbl 1198.33010)
Mejjaoli, Hatem; Sraieb, Nadia Gabor transform in quantum calculus and applications. (English) Zbl 1182.33026 Fract. Calc. Appl. Anal. 12, No. 3, 319-336 (2009). MSC: 33D15 42C15 44A15 33C20 PDFBibTeX XMLCite \textit{H. Mejjaoli} and \textit{N. Sraieb}, Fract. Calc. Appl. Anal. 12, No. 3, 319--336 (2009; Zbl 1182.33026)
Parasyuk, O.; Virchenko, N. Brief survey of the mathematical legacy of Academician M. Kravchuk. (English) Zbl 1176.01016 Fract. Calc. Appl. Anal. 12, No. 2, 115-134 (2009). Reviewer: Roman Duda (Wrocław) MSC: 01A70 11-03 15-03 30D30 33C45 34A30 60E05 PDFBibTeX XMLCite \textit{O. Parasyuk} and \textit{N. Virchenko}, Fract. Calc. Appl. Anal. 12, No. 2, 115--134 (2009; Zbl 1176.01016)
Saxena, R. K. A remark on a paper on \(M\)-series. (English) Zbl 1177.26013 Fract. Calc. Appl. Anal. 12, No. 1, 109-110 (2009). MSC: 26A33 33C60 44A15 PDFBibTeX XMLCite \textit{R. K. Saxena}, Fract. Calc. Appl. Anal. 12, No. 1, 109--110 (2009; Zbl 1177.26013)
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
Haouam, K.; Sfaxi, M. Nonexistence results of solutions of semilinear differential inequalities with temperal fractional derivative on the Heisenberg group. (English) Zbl 1179.26022 Fract. Calc. Appl. Anal. 12, No. 1, 1-14 (2009). MSC: 26A33 33C60 44A15 35K55 PDFBibTeX XMLCite \textit{K. Haouam} and \textit{M. Sfaxi}, Fract. Calc. Appl. Anal. 12, No. 1, 1--14 (2009; Zbl 1179.26022) Full Text: EuDML
Kilbas, Anatoly A.; Kattuveettil, Anitha Representations of Dirichlet averages of generalized Mittag-Leffler function via fractional integrals and special functions. (English) Zbl 1161.33304 Fract. Calc. Appl. Anal. 11, No. 4, 471-492 (2008). MSC: 33E12 26A33 33C70 33C20 33C65 PDFBibTeX XMLCite \textit{A. A. Kilbas} and \textit{A. Kattuveettil}, Fract. Calc. Appl. Anal. 11, No. 4, 471--492 (2008; Zbl 1161.33304)
Mainardi, Francesco; Pagnini, Gianni Mellin-Barnes integrals for stable distributions and their convolutions. (English) Zbl 1175.26017 Fract. Calc. Appl. Anal. 11, No. 4, 443-456 (2008). Reviewer: Stefan G. Samko (Faro) MSC: 26A33 33C60 42A38 44A35 60G18 60G52 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 11, No. 4, 443--456 (2008; Zbl 1175.26017)
Kiryakova, Virginia Transmutation method for solving hyper-Bessel differential equations based on the Poisson-Dimovski transformation. (English) Zbl 1175.26015 Fract. Calc. Appl. Anal. 11, No. 3, 299-316 (2008). Reviewer: Stefan G. Samko (Faro) MSC: 26A33 34A25 34L40 33C60 33C20 PDFBibTeX XMLCite \textit{V. Kiryakova}, Fract. Calc. Appl. Anal. 11, No. 3, 299--316 (2008; Zbl 1175.26015)
Kiryakova, Virginia A brief story about the operators of the generalized fractional calculus. (English) Zbl 1153.26003 Fract. Calc. Appl. Anal. 11, No. 2, 203-220 (2008). Reviewer: Nasser-eddine Tatar (Dhahran) MSC: 26A33 33C60 PDFBibTeX XMLCite \textit{V. Kiryakova}, Fract. Calc. Appl. Anal. 11, No. 2, 203--220 (2008; Zbl 1153.26003) Full Text: EuDML
Sharma, Manoj Fractional integration and fractional differentiation of the \(M\)-series. (English) Zbl 1153.26303 Fract. Calc. Appl. Anal. 11, No. 2, 187-191 (2008). Reviewer: P. K. Banerji (Jodhpur) MSC: 26A33 33C60 44A15 PDFBibTeX XMLCite \textit{M. Sharma}, Fract. Calc. Appl. Anal. 11, No. 2, 187--191 (2008; Zbl 1153.26303) 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
Yadav, R. K.; Purohit, S. D.; Kalla, S. L. On generalized Weyl fractional \(q\)-integral operator involving generalized basic hypergeometric functions. (English) Zbl 1154.33306 Fract. Calc. Appl. Anal. 11, No. 2, 129-142 (2008). Reviewer: K. C. Gupta (Jaipur) MSC: 33D60 33D90 26A33 33C60 PDFBibTeX XMLCite \textit{R. K. Yadav} et al., Fract. Calc. Appl. Anal. 11, No. 2, 129--142 (2008; Zbl 1154.33306) Full Text: EuDML
Mainardi, Francesco; Gorenflo, Rudolf Time-fractional derivatives in relaxation processes: a tutorial survey. (English) Zbl 1157.26304 Fract. Calc. Appl. Anal. 10, No. 3, 269-308 (2007). MSC: 26A33 33E12 33C60 44A10 45K05 74D05 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{R. Gorenflo}, Fract. Calc. Appl. Anal. 10, No. 3, 269--308 (2007; Zbl 1157.26304) Full Text: arXiv EuDML
Rajković, Predrag M.; Marinković, Sladjana D.; Stanković, Miomir S. On \(q\)-analogues of Caputo derivative and Mittag-Leffler function. (English) Zbl 1157.33325 Fract. Calc. Appl. Anal. 10, No. 4, 359-373 (2007). MSC: 33D60 33E12 26A33 PDFBibTeX XMLCite \textit{P. M. Rajković} et al., Fract. Calc. Appl. Anal. 10, No. 4, 359--373 (2007; Zbl 1157.33325) Full Text: EuDML
Fitouhi, Ahmed; Bettaibi, Néji; Binous, Wafa Inversion formulas for the \(q\)-Riemann-Liouville and \(q\)-Weyl transforms using wavelets. (English) Zbl 1268.42008 Fract. Calc. Appl. Anal. 10, No. 4, 327-342 (2007). MSC: 42A38 42C40 33D15 33D60 PDFBibTeX XMLCite \textit{A. Fitouhi} et al., Fract. Calc. Appl. Anal. 10, No. 4, 327--342 (2007; Zbl 1268.42008) Full Text: EuDML
Purohit, S. D.; Kalla, S. L. On \(q\)-Laplace transforms of the \(q\)-Bessel functions. (English) Zbl 1141.33004 Fract. Calc. Appl. Anal. 10, No. 2, 189-196 (2007). Reviewer: K. C. Gupta (Jaipur) MSC: 33D15 44A10 33D60 33D90 33C20 33C10 PDFBibTeX XMLCite \textit{S. D. Purohit} and \textit{S. L. Kalla}, Fract. Calc. Appl. Anal. 10, No. 2, 189--196 (2007; Zbl 1141.33004) Full Text: EuDML
Tomovski, Živorad Integral representations of generalized Mathieu series via Mittag-Leffler type functions. (English) Zbl 1141.33006 Fract. Calc. Appl. Anal. 10, No. 2, 127-138 (2007). Reviewer: Sergei V. Rogosin (Minsk) MSC: 33E10 33C60 33E12 PDFBibTeX XMLCite \textit{Ž. Tomovski}, Fract. Calc. Appl. Anal. 10, No. 2, 127--138 (2007; Zbl 1141.33006) Full Text: EuDML
Paneva-Konovska, Jordanka Theorems on the convergence of series in generalized Lommel-Wright functions. (English) Zbl 1137.30300 Fract. Calc. Appl. Anal. 10, No. 1, 59-74 (2007). MSC: 30B10 30B30 33C10 33C20 PDFBibTeX XMLCite \textit{J. Paneva-Konovska}, Fract. Calc. Appl. Anal. 10, No. 1, 59--74 (2007; Zbl 1137.30300) Full Text: EuDML
Ben Hammouda, M. S.; Nemri, Akram Polynomial expansions for solutions of higher-order Bessel heat equation in quantum calculus. (English) Zbl 1128.33004 Fract. Calc. Appl. Anal. 10, No. 1, 39-58 (2007). MSC: 33C10 33D60 26D15 33D05 33D15 33D90 PDFBibTeX XMLCite \textit{M. S. Ben Hammouda} and \textit{A. Nemri}, Fract. Calc. Appl. Anal. 10, No. 1, 39--58 (2007; Zbl 1128.33004) Full Text: EuDML
Mabrouk, Hanène \(q\)-heat operator and \(q\)-Poisson’s operator. (English) Zbl 1138.33009 Fract. Calc. Appl. Anal. 9, No. 3, 265-286 (2006). Reviewer: Roelof Koekoek (Delft) MSC: 33D15 33D90 39A13 PDFBibTeX XMLCite \textit{H. Mabrouk}, Fract. Calc. Appl. Anal. 9, No. 3, 265--286 (2006; Zbl 1138.33009) 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
Haddad, Meniar Hankel transform in quantum calculus and applications. (English) Zbl 1132.44003 Fract. Calc. Appl. Anal. 9, No. 4, 371-384 (2006). MSC: 44A15 33D15 PDFBibTeX XMLCite \textit{M. Haddad}, Fract. Calc. Appl. Anal. 9, No. 4, 371--384 (2006; Zbl 1132.44003) Full Text: EuDML
Mishra, A. K.; Gochhayat, P. Applications of the Owa-Srivastava operator to the class of \(k\)-uniformly convex functions. (English) Zbl 1132.30321 Fract. Calc. Appl. Anal. 9, No. 4, 323-331 (2006). MSC: 30C45 26A33 33C15 PDFBibTeX XMLCite \textit{A. K. Mishra} and \textit{P. Gochhayat}, Fract. Calc. Appl. Anal. 9, No. 4, 323--331 (2006; Zbl 1132.30321) Full Text: EuDML
Rusev, Peter A note on a classical generating function for the Jacobi polynomials. (English) Zbl 1118.33003 Fract. Calc. Appl. Anal. 8, No. 1, 63-66 (2005). MSC: 33C45 PDFBibTeX XMLCite \textit{P. Rusev}, Fract. Calc. Appl. Anal. 8, No. 1, 63--66 (2005; Zbl 1118.33003) Full Text: EuDML
Gogovcheva, Elena; Boyadjiev, Lyubomir Fractional extensions of Jacobi polynomials and Gauss hypergeometric function. (English) Zbl 1123.33007 Fract. Calc. Appl. Anal. 8, No. 4, 431-438 (2005). Reviewer: Pedro José Miana (Zaragoza) MSC: 33C45 26A33 PDFBibTeX XMLCite \textit{E. Gogovcheva} and \textit{L. Boyadjiev}, Fract. Calc. Appl. Anal. 8, No. 4, 431--438 (2005; Zbl 1123.33007) Full Text: EuDML
Kalla, S. L.; Yadav, R. K.; Purohit, S. D. On the Riemann-Liouville fractional \(q\)-integral operator involving a basic analogue of Fox \(H\)-function. (English) Zbl 1123.33016 Fract. Calc. Appl. Anal. 8, No. 3, 313-322 (2005). Reviewer: Pedro José Miana (Zaragoza) MSC: 33D60 26A33 33C60 PDFBibTeX XMLCite \textit{S. L. Kalla} et al., Fract. Calc. Appl. Anal. 8, No. 3, 313--322 (2005; Zbl 1123.33016) Full Text: EuDML
Ben Nakhi, Y.; Kalla, S. L. On some mixture distributions. (English) Zbl 1104.62009 Fract. Calc. Appl. Anal. 7, No. 3, 261-282 (2004). MSC: 62E10 62M99 33C90 33C15 62E15 PDFBibTeX XMLCite \textit{Y. Ben Nakhi} and \textit{S. L. Kalla}, Fract. Calc. Appl. Anal. 7, No. 3, 261--282 (2004; Zbl 1104.62009) Full Text: EuDML
Dattoli, G.; Migliorati, M.; Srivastava, H. M. A class of Bessel summation formulas and associated operational methods. (English) Zbl 1084.33002 Fract. Calc. Appl. Anal. 7, No. 2, 169-176 (2004). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C10 33C45 46B15 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Fract. Calc. Appl. Anal. 7, No. 2, 169--176 (2004; Zbl 1084.33002)
Srivastava, H. M.; Mishra, A. K.; Das, M. K. A class of parabolic starlike functions defined by means of a certain fractional derivative operator. (English) Zbl 1084.30016 Fract. Calc. Appl. Anal. 6, No. 3, 281-298 (2003). MSC: 30C45 26A33 33C15 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Fract. Calc. Appl. Anal. 6, No. 3, 281--298 (2003; Zbl 1084.30016)
Srivastava, Hari M. Some families of multivariable biorthogonal polynomials and associated generating functions. (English) Zbl 1027.33011 Fract. Calc. Appl. Anal. 5, No. 4, 479-490 (2002). MSC: 33C65 PDFBibTeX XMLCite \textit{H. M. Srivastava}, Fract. Calc. Appl. Anal. 5, No. 4, 479--490 (2002; Zbl 1027.33011)
Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J. On the generalized Wright function. (English) Zbl 1027.33015 Fract. Calc. Appl. Anal. 5, No. 4, 437-460 (2002). MSC: 33E12 33C60 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., Fract. Calc. Appl. Anal. 5, No. 4, 437--460 (2002; Zbl 1027.33015)
Cho, Nak Eun; Woo, Soon Young; Owa, Shigeyoshi Uniform convexity properties for hypergeometric functions. (English) Zbl 1028.30013 Fract. Calc. Appl. Anal. 5, No. 3, 303-313 (2002). MSC: 30C45 33C05 PDFBibTeX XMLCite \textit{N. E. Cho} et al., Fract. Calc. Appl. Anal. 5, No. 3, 303--313 (2002; Zbl 1028.30013)
Dattoli, G.; Ricci, P. E.; Cesarano, C. Differential equations for Appell type polynomials. (English) Zbl 1040.33007 Fract. Calc. Appl. Anal. 5, No. 1, 69-75 (2002). Reviewer: Robert G. Buschman (Langlois) MSC: 33C65 33C45 34A05 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Fract. Calc. Appl. Anal. 5, No. 1, 69--75 (2002; Zbl 1040.33007)
Boyadjiev, Lyubomir; Kalla, S. L. Series representations of analytic functions and applications. (English) Zbl 1033.30002 Fract. Calc. Appl. Anal. 4, No. 3, 379-408 (2001). MSC: 30B50 33C45 26A33 PDFBibTeX XMLCite \textit{L. Boyadjiev} and \textit{S. L. Kalla}, Fract. Calc. Appl. Anal. 4, No. 3, 379--408 (2001; Zbl 1033.30002)
Wyss, Michelle M.; Wyss, Walter Evolution, its fractional extension and generalization. (English) Zbl 1042.45005 Fract. Calc. Appl. Anal. 4, No. 3, 273-284 (2001). Reviewer: Rudolf Gorenflo (Berlin) MSC: 45K05 26A33 33E12 33C60 PDFBibTeX XMLCite \textit{M. M. Wyss} and \textit{W. Wyss}, Fract. Calc. Appl. Anal. 4, No. 3, 273--284 (2001; Zbl 1042.45005) Full Text: arXiv
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)
Rubin, Boris Arithmetical properties of Gegenbauer polynomials and small denominators on the sphere (open problem). (English) Zbl 1037.33009 Fract. Calc. Appl. Anal. 3, No. 3, 315-316 (2000). MSC: 33C90 PDFBibTeX XMLCite \textit{B. Rubin}, Fract. Calc. Appl. Anal. 3, No. 3, 315--316 (2000; Zbl 1037.33009)
Atakishiyev, Natig M.; Atakishiyeva, Mesuma K. On a simple integral representation of the continuous \(q\)-Hermite polynomials. (English) Zbl 1027.33014 Fract. Calc. Appl. Anal. 3, No. 3, 297-302 (2000). MSC: 33D15 26C05 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{M. K. Atakishiyeva}, Fract. Calc. Appl. Anal. 3, No. 3, 297--302 (2000; Zbl 1027.33014)
Przeworska-Rolewicz, Danuta Special functions as antilogarithms of second order. (English) Zbl 1111.33301 Fract. Calc. Appl. Anal. 3, No. 3, 277-296 (2000). MSC: 33C99 34B30 47A75 47E05 PDFBibTeX XMLCite \textit{D. Przeworska-Rolewicz}, Fract. Calc. Appl. Anal. 3, No. 3, 277--296 (2000; Zbl 1111.33301)
Galué, Leda; Ali, Ismail; Kalla, Shyam L. An extension of the Laguerre polynomials and associated orthonormal functions. (English) Zbl 1030.33004 Fract. Calc. Appl. Anal. 3, No. 2, 161-171 (2000). MSC: 33C45 33C50 33C65 33C70 PDFBibTeX XMLCite \textit{L. Galué} et al., Fract. Calc. Appl. Anal. 3, No. 2, 161--171 (2000; Zbl 1030.33004)
Niukkanen, A. W.; Perevozchikov, V. I.; Lurie, V. A. A generalization of a classical relation between \(J_{\nu+n}(z),J_{\nu}(z)\) and \(J_{\nu-1}(z)\) with comments on the modern state and trends in special functions. (English) Zbl 1028.33004 Fract. Calc. Appl. Anal. 3, No. 2, 119-132 (2000). MSC: 33C10 33C20 33C70 PDFBibTeX XMLCite \textit{A. W. Niukkanen} et al., Fract. Calc. Appl. Anal. 3, No. 2, 119--132 (2000; Zbl 1028.33004)
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)
Wyss, Walter The fractional Black-Scholes equation. (English) Zbl 1058.91045 Fract. Calc. Appl. Anal. 3, No. 1, 51-61 (2000). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 91B28 26A33 62P05 33C60 PDFBibTeX XMLCite \textit{W. Wyss}, Fract. Calc. Appl. Anal. 3, No. 1, 51--61 (2000; Zbl 1058.91045)
Agrawal, Om P. A general solution for the fourth-order fractional diffusion-wave equation. (English) Zbl 1111.45300 Fract. Calc. Appl. Anal. 3, No. 1, 1-12 (2000). Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk) MSC: 45K05 26A33 33C60 35A22 PDFBibTeX XMLCite \textit{O. P. Agrawal}, Fract. Calc. Appl. Anal. 3, No. 1, 1--12 (2000; Zbl 1111.45300)
Rusev, Peter Perron’s type asymptotic formulas for the Laguerre polynomials. (English) Zbl 1027.33010 Fract. Calc. Appl. Anal. 2, No. 5, 689-698 (1999). MSC: 33C45 30E15 41A60 PDFBibTeX XMLCite \textit{P. Rusev}, Fract. Calc. Appl. Anal. 2, No. 5, 689--698 (1999; Zbl 1027.33010)
Virchenko, Nina A. On a generalized Laguerre’s function and its applications. (English) Zbl 1027.33007 Fract. Calc. Appl. Anal. 2, No. 4, 529-536 (1999). MSC: 33C15 PDFBibTeX XMLCite \textit{N. A. Virchenko}, Fract. Calc. Appl. Anal. 2, No. 4, 529--536 (1999; Zbl 1027.33007)
Al-Shammery, A. H.; Kalla, S. L.; Khajah, H. G. A fractional generalization of the free electron laser equation. (English) Zbl 1033.65118 Fract. Calc. Appl. Anal. 2, No. 4, 501-508 (1999). MSC: 65R20 33C90 45J05 26A33 33C15 PDFBibTeX XMLCite \textit{A. H. Al-Shammery} et al., Fract. Calc. Appl. Anal. 2, No. 4, 501--508 (1999; Zbl 1033.65118)
Kiryakova, Virginia Multiindex Mittag-Leffler functions, related Gelfond-Leontiev operators and Laplace type integral transforms. (English) Zbl 1111.33300 Fract. Calc. Appl. Anal. 2, No. 4, 445-462 (1999). Reviewer: Om Prakash Singh (Aligarh) MSC: 33C60 26A33 44A15 PDFBibTeX XMLCite \textit{V. Kiryakova}, Fract. Calc. Appl. Anal. 2, No. 4, 445--462 (1999; Zbl 1111.33300)
Gorenflo, Rudolf; Luchko, Yuri; Mainardi, Francesco Analytical properties and applications of the Wright function. (English) Zbl 1027.33006 Fract. Calc. Appl. Anal. 2, No. 4, 383-414 (1999). Reviewer: Matti Vuorinen (Helsinki) MSC: 33C15 26A33 33E20 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Fract. Calc. Appl. Anal. 2, No. 4, 383--414 (1999; Zbl 1027.33006) Full Text: arXiv
Virchenko, Nina A. On some generalizations of the functions of hypergeometric type. (English) Zbl 1027.33008 Fract. Calc. Appl. Anal. 2, No. 3, 233-244 (1999). MSC: 33C20 33C45 PDFBibTeX XMLCite \textit{N. A. Virchenko}, Fract. Calc. Appl. Anal. 2, No. 3, 233--244 (1999; Zbl 1027.33008)
Miller, Gary R. Shift operators and fractional calculus. (English) Zbl 1030.26005 Fract. Calc. Appl. Anal. 1, No. 3, 279-296 (1998). MSC: 26A33 33C45 47B38 47G20 PDFBibTeX XMLCite \textit{G. R. Miller}, Fract. Calc. Appl. Anal. 1, No. 3, 279--296 (1998; Zbl 1030.26005)
Glasser, M. Lawrence; Al-Jarrah, Ali A. Some Sonine-Gegenbauer integrals. (English) Zbl 1027.33009 Fract. Calc. Appl. Anal. 1, No. 3, 271-278 (1998). MSC: 33C20 33C10 PDFBibTeX XMLCite \textit{M. L. Glasser} and \textit{A. A. Al-Jarrah}, Fract. Calc. Appl. Anal. 1, No. 3, 271--278 (1998; Zbl 1027.33009)
Rusev, P. On the asymptotics of the Weber-Hermite function in the complex plane. (English) Zbl 0936.33002 Fract. Calc. Appl. Anal. 1, No. 2, 151-166 (1998). Reviewer: Virginia S.Kiryakova (Sofia) MSC: 33C15 33C45 34E05 PDFBibTeX XMLCite \textit{P. Rusev}, Fract. Calc. Appl. Anal. 1, No. 2, 151--166 (1998; Zbl 0936.33002)
Kiryakova, V.; Saigo, M.; Srivastava, H. M. Some criteria for univalence of analytic functions involving generalized fractional calculus operators. (English) Zbl 0951.30012 Fract. Calc. Appl. Anal. 1, No. 1, 79-104 (1998). MSC: 30C45 26A33 PDFBibTeX XMLCite \textit{V. Kiryakova} et al., Fract. Calc. Appl. Anal. 1, No. 1, 79--104 (1998; Zbl 0951.30012)
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)