Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J. Fractional Fourier transform in the framework of fractional calculus operators. (English) Zbl 1205.42010 Integral Transforms Spec. Funct. 21, No. 9-10, 779-795 (2010). Reviewer: Som Prakash Goyal (Jaipur) MSC: 42A38 26A33 35A22 35L15 44A10 33E12 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., Integral Transforms Spec. Funct. 21, No. 9--10, 779--795 (2010; Zbl 1205.42010) Full Text: DOI
Luchko, Yury; Trujillo, Juan J. Caputo-type modification of the Erdélyi-Kober fractional derivatives. (English) Zbl 1152.26304 Fract. Calc. Appl. Anal. 10, No. 3, 249-267 (2007). MSC: 26A33 33E12 33E30 44A15 45J05 PDFBibTeX XMLCite \textit{Y. Luchko} and \textit{J. J. Trujillo}, Fract. Calc. Appl. Anal. 10, No. 3, 249--267 (2007; Zbl 1152.26304) 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
Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J. Theory and applications of fractional differential equations. (English) Zbl 1092.45003 North-Holland Mathematics Studies 204. Amsterdam: Elsevier (ISBN 0-444-51832-0/hbk). xv, 523 p. (2006). Reviewer: Ram Kishore Saxena (Jodhpur) MSC: 34A08 26A33 34-02 35A22 34A25 45J05 65L05 65R20 45-02 65L10 45D05 45G10 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., Theory and applications of fractional differential equations. Amsterdam: Elsevier (2006; Zbl 1092.45003)
Kilbas, Anatoly A.; Trujillo, Juan J.; Voroshilov, Aleksandr A. Cauchy-type problem for diffusion-wave equation with the Riemann-Liouville partial derivative. (English) Zbl 1128.35007 Fract. Calc. Appl. Anal. 8, No. 4, 403-430 (2005). Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk) MSC: 35A15 44A15 26A33 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., Fract. Calc. Appl. Anal. 8, No. 4, 403--430 (2005; Zbl 1128.35007) Full Text: EuDML
Kilbas, Anatoly A.; Trujillo, Juan J. Hadamard-type integrals as \(G\)-transforms. (English) Zbl 1043.26004 Integral Transforms Spec. Funct. 14, No. 5, 413-427 (2003). MSC: 26A33 47B38 47G10 PDFBibTeX XMLCite \textit{A. A. Kilbas} and \textit{J. J. Trujillo}, Integral Transforms Spec. Funct. 14, No. 5, 413--427 (2003; Zbl 1043.26004) Full Text: DOI
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. Stirling functions of the second kind in the setting of difference and fractional calculus. (English) Zbl 1086.11014 Numer. Funct. Anal. Optimization 24, No. 7-8, 673-711 (2003). MSC: 11B73 05A10 26A33 44A15 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., Numer. Funct. Anal. Optim. 24, No. 7--8, 673--711 (2003; Zbl 1086.11014) Full Text: DOI
Kilbas, Anatoly A.; Trujillo, Juan J. Hankel-Schwartz and Hankel-Clifford transforms on \({\mathcal L}_{\nu,p}\)-spaces. (English) Zbl 1161.44302 Result. Math. 43, No. 3-4, 284-299 (2003). Reviewer: Isabel Marrero (La Laguna) (MR1989806) MSC: 44A15 47B38 47G10 PDFBibTeX XMLCite \textit{A. A. Kilbas} and \textit{J. J. Trujillo}, Result. Math. 43, No. 3--4, 284--299 (2003; Zbl 1161.44302) Full Text: DOI
Bonilla, B.; Rivero, Margarita; Rodriguez-Germá, Luis; Trujillo, Juan J.; Kilbas, Anatoly A.; Klimets, Natalia G. Mittag-Leffler integral transform on \({\mathcal L}_{\nu,r}\)-spaces. (English) Zbl 1046.44002 Rev. Acad. Canar. Cienc. 14, No. 1-2, 65-77 (2002). MSC: 44A15 46E30 33E12 PDFBibTeX XMLCite \textit{B. Bonilla} et al., Rev. Acad. Canar. Cienc. 14, No. 1--2, 65--77 (2002; Zbl 1046.44002)
Kilbas, A. A.; Trujillo, J. J. Differential equations of fractional order: Methods, results and problems. II. (English) Zbl 1033.34007 Appl. Anal. 81, No. 2, 435-493 (2002). MSC: 34A25 26A33 33E20 35A22 44A10 65L99 65M99 PDFBibTeX XMLCite \textit{A. A. Kilbas} and \textit{J. J. Trujillo}, Appl. Anal. 81, No. 2, 435--493 (2002; Zbl 1033.34007) Full Text: DOI
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. (English) Zbl 1022.26011 J. Math. Anal. Appl. 270, No. 1, 1-15 (2002). Reviewer: Stefan G.Samko (Faro) MSC: 26A33 44A15 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., J. Math. Anal. Appl. 270, No. 1, 1--15 (2002; Zbl 1022.26011) Full Text: DOI
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. (English) Zbl 0995.26007 J. Math. Anal. Appl. 269, No. 1, 1-27 (2002). MSC: 26A33 44A15 44A35 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., J. Math. Anal. Appl. 269, No. 1, 1--27 (2002; Zbl 0995.26007) Full Text: DOI
Kilbas, A. A.; Trujillo, J. J. Differential equations of fractional order: Methods, results and problems. I. (English) Zbl 1031.34002 Appl. Anal. 78, No. 1-2, 153-192 (2001). MSC: 34A25 26A33 45D05 34A12 PDFBibTeX XMLCite \textit{A. A. Kilbas} and \textit{J. J. Trujillo}, Appl. Anal. 78, No. 1--2, 153--192 (2001; Zbl 1031.34002) Full Text: DOI
Kilbas, A. A.; Saigo, M.; Trujillo, J. J. On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. (English) Zbl 0974.44003 Integral Transforms Spec. Funct. 10, No. 3-4, 267-282 (2000). Reviewer: Som Prakash Goyal (Jaipur) MSC: 44A15 47B38 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., Integral Transforms Spec. Funct. 10, No. 3--4, 267--282 (2000; Zbl 0974.44003) Full Text: DOI
Kilbas, A. A.; Bonilla, B.; Trujillo, J. J. Existence and uniqueness theorems for nonlinear fractional differential equations. (English) Zbl 0964.34004 Demonstr. Math. 33, No. 3, 583-602 (2000). MSC: 34A25 26A33 34A12 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., Demonstr. Math. 33, No. 3, 583--602 (2000; Zbl 0964.34004)
Kilbas, Anatoly A.; Trujillo, Juan J. Generalized Hankel transform on \({\mathcal L}_{\nu,\tau}\)-space. (English) Zbl 0963.44005 Integral Transforms Spec. Funct. 9, No. 4, 271-286 (2000). Reviewer: Som Prakash Goyal (Jaipur) MSC: 44A15 PDFBibTeX XMLCite \textit{A. A. Kilbas} and \textit{J. J. Trujillo}, Integral Transforms Spec. Funct. 9, No. 4, 271--286 (2000; Zbl 0963.44005) Full Text: DOI
Kilbas, Anatoly A.; Trujillo, Juan J. On the Hankel-type integral transform in \({\mathcal L}_{\nu,r}\)-spaces. (English) Zbl 1032.44006 Fract. Calc. Appl. Anal. 2, No. 3, 343-353 (1999). MSC: 44A15 PDFBibTeX XMLCite \textit{A. A. Kilbas} and \textit{J. J. Trujillo}, Fract. Calc. Appl. Anal. 2, No. 3, 343--353 (1999; Zbl 1032.44006)
Bonilla, B.; Rivero, M.; Rodríguez, J.; Trujillo, J.; Kilbas, A. A. Bessel-type functions and Bessel-type integral transforms on spaces \({\mathcal F}_{p,\mu}\) and \({\mathcal F}_{p,\mu}'\). (English) Zbl 0937.33004 Integral Transforms Spec. Funct. 8, No. 1-2, 13-30 (1999). Reviewer: H.-J.Glaeske (Jena) MSC: 33C10 44A15 46F12 PDFBibTeX XMLCite \textit{B. Bonilla} et al., Integral Transforms Spec. Funct. 8, No. 1--2, 13--30 (1999; Zbl 0937.33004) Full Text: DOI
Bonilla, B.; Kilbas, A. A.; Rivero, M.; Rodríguez, L.; Trujillo, J. J. Modified Bessel-type integral transform in \({\mathcal L}_{\nu,r}\)-space. (English) Zbl 1058.44500 Rev. Acad. Canar. Cienc. 10, No. 1, 45-55 (1998). MSC: 44A15 33C60 47G10 PDFBibTeX XMLCite \textit{B. Bonilla} et al., Rev. Acad. Canar. Cienc. 10, No. 1, 45--55 (1998; Zbl 1058.44500)
Kilbas, A. A.; Bonilla, B.; Rodriguez, J.; Trujillo, J.; Rivero, M. Compositions of fractional integrals and derivatives with a Bessel-type function and the solution of differential and integral equations. (Russian. English summary) Zbl 1041.26500 Dokl. Nats. Akad. Nauk Belarusi 42, No. 2, 25-29 (1998). MSC: 26A33 34A25 45A05 34A30 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., Dokl. Nats. Akad. Nauk Belarusi 42, No. 2, 25--29 (1998; Zbl 1041.26500)
Trujillo, Juan J.; Del Castillo, J. On some properties of the operators of Erdelyi-Köber. (Spanish. English summary) Zbl 0614.46032 Differential equations and applications, Proc. 5th Congr., Tenerife/Spain 1982, 515-531 (1984). MSC: 46F05 47A60 46F12 47B38 44A15 PDFBibTeX XML