Prof. Dr. Juan J. Trujillo
0000-0001-8700-6410
Keywords: Fractional models and their applications, Fractional operators and their applications, Integral Transforms, Modeling the dynamics of processes though very anomalous media, Special functions
Websites:
Google Scholar Citations
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Scopus Author ID: 7103051194
Personal Information
Biography
Full Professor of Applied Mathematics at the
Universidad de La Laguna and member of the Department of Análisis Matemático (C/Astr. Fco. Sánchez s/n, 38271 La Laguna Tenerife. Spain)
Phone: +34-922318209
Fax.: +34-922318195
email: jtrujill@ullmat.es
Publications
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Controllability Results for Nonlinear Fractional-Order Dynamical Systems: Journal of Optimization Theory and Applications 2013
Balachandran, K. and Govindaraj, V. and Rodríguez-Germa, L. and Trujillo, J.J., (2013). "Controllability Results for Nonlinear Fractional-Order Dynamical Systems", Journal of Optimization Theory and Applications, vol. 156, no. 1, pp. 33-44 -
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On new existence results for fractional integro-differential equations with impulsive and integral conditions: Computers and Mathematics with Applications 2013
Anguraj, A. and Karthikeyan, P. and Rivero, M. and Trujillo, J.J., (2013). "On new existence results for fractional integro-differential equations with impulsive and integral conditions", Computers and Mathematics with Applications -
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A real regularised fractional derivative: Signal, Image and Video Processing 2012
Ortigueira, M.D. and Magin, R.L. and Trujillo, J.J. and Velasco, M.P., (2012). "A real regularised fractional derivative", Signal, Image and Video Processing, vol. 6, no. 3, pp. 351-358 -
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A unified approach to fractional derivatives: Communications in Nonlinear Science and Numerical Simulation 2012
Ortigueira, M.D. and Trujillo, J.J., (2012). "A unified approach to fractional derivatives", Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 12, pp. 5151-5157 -
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Controllability of nonlinear fractional dynamical systems: Nonlinear Analysis, Theory, Methods and Applications 2012
Balachandran, K. and Park, J.Y. and Trujillo, J.J., (2012). "Controllability of nonlinear fractional dynamical systems", Nonlinear Analysis, Theory, Methods and Applications, vol. 75, no. 4, pp. 1919-1926 -
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Controllability of nonlinear higher order fractional dynamical systems: Nonlinear Dynamics 2012
Balachandran, K. and Govindaraj, V. and Rodríguez-Germá, L. and Trujillo, J.J., (2012). "Controllability of nonlinear higher order fractional dynamical systems", Nonlinear Dynamics, pp. 1-8 -
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Existence and uniqueness results for fractional integrodifferential equations with boundary value conditions: Communications in Nonlinear Science and Numerical Simulation 2012
Karthikeyan, K. and Trujillo, J.J., (2012). "Existence and uniqueness results for fractional integrodifferential equations with boundary value conditions", Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 11, pp. 4037-4043 -
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Existence of mild solutions for fractional impulsive semilinear integro-differential equations in banach spaces: Communications on Applied Nonlinear Analysis 2012
Chalishajar, D.N. and Karthikeyan, K. and Trujillo, J.J., (2012). "Existence of mild solutions for fractional impulsive semilinear integro-differential equations in banach spaces", Communications on Applied Nonlinear Analysis, vol. 19, no. 4, pp. 45-56 -
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Fractional Calculus 2012
Baleanu, D, LUO, A, Diethelm, K, Scalas, E & Trujillo, J, 2012, , World Scientific Publishing Co. Pte. Ltd.. -
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On the existence of solutions of fractional integro-differential equations: Fractional Calculus and Applied Analysis 2012
Aghajani, A. and Jalilian, Y. and Trujillo, J.J., (2012). "On the existence of solutions of fractional integro-differential equations", Fractional Calculus and Applied Analysis, vol. 15, no. 1, pp. 44-69 -
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Relative controllability of fractional dynamical systems with multiple delays in control: Computers and Mathematics with Applications 2012
Balachandran, K. and Kokila, J. and Trujillo, J.J., (2012). "Relative controllability of fractional dynamical systems with multiple delays in control", Computers and Mathematics with Applications, vol. 64, no. 10, pp. 3037-3045 -
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Remark on the existence results for fractional impulsive integrodifferential equations in Banach spaces: Communications in Nonlinear Science and Numerical Simulation 2012
Balachandran, K. and Kiruthika, S. and Trujillo, J.J., (2012). "Remark on the existence results for fractional impulsive integrodifferential equations in Banach spaces", Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 6, pp. 2244-2247 -
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The incremental ratio based causal fractional calculus: International Journal of Bifurcation and Chaos 2012
Ortigueira, M.D. and Rivero, M. and Trujillo, J.J., (2012). "The incremental ratio based causal fractional calculus", International Journal of Bifurcation and Chaos, vol. 22, no. 4, pp. 1-9 -
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Anomalous NMR relaxation in cartilage matrix components and native cartilage: Fractional-order models: Journal of Magnetic Resonance 2011
Magin, R.L. and Li, W. and Pilar Velasco, M. and Trujillo, J. and Reiter, D.A. and Morgenstern, A. and Spencer, R.G., (2011). "Anomalous NMR relaxation in cartilage matrix components and native cartilage: Fractional-order models", Journal of Magnetic Resonance, vol. 210, no. 2, pp. 184-191 -
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Complex Grünwald-Letnikov, Liouville, Riemann-Liouville, and Caputo derivatives for analytic functions: Communications in Nonlinear Science and Numerical Simulation 2011
Ortigueira, M.D. and Rodríguez-Germá, L. and Trujillo, J.J., (2011). "Complex Grünwald-Letnikov, Liouville, Riemann-Liouville, and Caputo derivatives for analytic functions", Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 11, pp. 4174-4182 -
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Existence of solutions to fractional mixed integrodifferential equations with nonlocal initial condition: Advances in Difference Equations 2011
Trujillo, J.J. and Anguraj, A. and Karthikeyan, P., (2011). "Existence of solutions to fractional mixed integrodifferential equations with nonlocal initial condition", Advances in Difference Equations, vol. 2011 -
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Existence results for fractional impulsive integrodifferential equations in Banach spaces: Communications in Nonlinear Science and Numerical Simulation 2011
Balachandran, K. and Kiruthika, S. and Trujillo, J.J., (2011). "Existence results for fractional impulsive integrodifferential equations in Banach spaces", Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 4, pp. 1970-1977 -
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Fractional dynamics of populations: Applied Mathematics and Computation 2011
Rivero, M. and Trujillo, J.J. and Vázquez, L. and Pilar Velasco, M., (2011). "Fractional dynamics of populations", Applied Mathematics and Computation, vol. 218, no. 3, pp. 1089-1095 -
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Fractional heat equation and the second law of thermodynamics: Fractional Calculus and Applied Analysis 2011
Vázquez, L. and Trujillo, J.J. and Pilar Velasco, M., (2011). "Fractional heat equation and the second law of thermodynamics", Fractional Calculus and Applied Analysis, vol. 14, no. 3, pp. 334-342 -
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Fractional signals and systems: Signal Processing 2011
Ortigueira, M.D. and MacHado, J.A.T. and Trujillo, J.J. and Vinagre, B.M., (2011). "Fractional signals and systems", Signal Processing, vol. 91, no. 3 -
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Generalized Grünwald-Letnikov fractional derivative and its laplace and fourier transforms: Journal of Computational and Nonlinear Dynamics 2011
Ortigueira, M.D. and Trujillo, J.J., (2011). "Generalized Grünwald-Letnikov fractional derivative and its laplace and fourier transforms", Journal of Computational and Nonlinear Dynamics, vol. 6, no. 3 -
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Improving the empirical mode decomposition method: Applicable Analysis 2011
Sanchez, J.L. and Trujillo, J.J., (2011). "Improving the empirical mode decomposition method", Applicable Analysis, vol. 90, no. 3-4, pp. 689-713 -
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On a unified fractional derivative: Proceedings of the ASME Design Engineering Technical Conference 2011
Ortigueira, M.D. and Trujillo, J.J., (2011). "On a unified fractional derivative", Proceedings of the ASME Design Engineering Technical Conference, vol. 3, no. PARTS A AND B, pp. 137-141 -
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On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces: Computers and Mathematics with Applications 2011
Balachandran, K. and Kiruthika, S. and Trujillo, J.J., (2011). "On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces", Computers and Mathematics with Applications, vol. 62, no. 3, pp. 1157-1165 -
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On the fractional signals and systems: Signal Processing 2011
Magin, R. and Ortigueira, M.D. and Podlubny, I. and Trujillo, J., (2011). "On the fractional signals and systems", Signal Processing, vol. 91, no. 3, pp. 350-371 -
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A fite type result for sequential fractional differential equations: Dynamic Systems and Applications 2010
Abdeljawad, T. and Baleanu, D. and Jarad, F. and Mustafa, O.G. and Trujillo, J.J., (2010). "A fite type result for sequential fractional differential equations", Dynamic Systems and Applications, vol. 19, no. 2, pp. 383-394 -
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A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives: Communications in Nonlinear Science and Numerical Simulation 2010
Baleanu, D. and Trujillo, J.I., (2010). "A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives", Communications in Nonlinear Science and Numerical Simulation, vol. 15, no. 5, pp. 1111-1115 -
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Civil-Comp special issue: Advances in Engineering Software 2010
Topping, B.H.V. and Montero, G. and Montenegro, R. and Trujillo, J.J. and Bru, R. and Hernández Encinas, A. and Rodríguez Sánchez, G. and Lebon, F., (2010). "Civil-Comp special issue", Advances in Engineering Software, vol. 41, no. 1, pp. 1-3 -
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Fractional fourier transform in the framework of fractional calculus operators: Integral Transforms and Special Functions 2010
Kilbas, A.A. and Luchko, Y.F. and Martínez, H. and Trujillo, J.J., (2010). "Fractional fourier transform in the framework of fractional calculus operators", Integral Transforms and Special Functions, vol. 21, no. 10, pp. 779-795 -
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Fractional models, non-locality, and complex systems: Computers and Mathematics with Applications 2010
Luchko, Y.F. and Rivero, M. and Trujillo, J.J. and Velasco, M.P., (2010). "Fractional models, non-locality, and complex systems", Computers and Mathematics with Applications, vol. 59, no. 3, pp. 1048-1056 -
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Fractional operators and some special functions: Computers and Mathematics with Applications 2010
Rivero, M. and Rodríguez-Germá, L. and Trujillo, J.J. and Pilar Velasco, M., (2010). "Fractional operators and some special functions", Computers and Mathematics with Applications, vol. 59, no. 5, pp. 1822-1834 -
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The Krätzel function and evaluation of integrals: Computers and Mathematics with Applications 2010
Kilbas, A.A. and Rodríguez-Germá, L. and Saigo, M. and Saxena, R.K. and Trujillo, J.J., (2010). "The Krätzel function and evaluation of integrals", Computers and Mathematics with Applications, vol. 59, no. 5, pp. 1790-1800 -
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The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces: Nonlinear Analysis, Theory, Methods and Applications 2010
Balachandran, K. and Trujillo, J.J., (2010). "The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces", Nonlinear Analysis, Theory, Methods and Applications, vol. 72, no. 12, pp. 4587-4593 -
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The wright function and its numerical evaluation: International Journal of Pure and Applied Mathematics 2010
Luchko, Y.F. and Trujillo, J.J. and Velasco, M.P., (2010). "The wright function and its numerical evaluation", International Journal of Pure and Applied Mathematics, vol. 64, no. 4, pp. 567-575 -
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Exact solutions of a class of fractional Hamiltonian equations involving Caputo derivatives: Physica Scripta 2009
Baleanu, D. and Trujillo, J.J., (2009). "Exact solutions of a class of fractional Hamiltonian equations involving Caputo derivatives", Physica Scripta, vol. 80, no. 5 -
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Linear fractional differential equations with variable coefficients: Applied Mathematics Letters 2008
Rivero, M. and Rodríguez-Germá, L. and Trujillo, J.J., (2008). "Linear fractional differential equations with variable coefficients", Applied Mathematics Letters, vol. 21, no. 9, pp. 892-897 -
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On exact solutions of a class of fractional Euler-lagrange equations: Nonlinear Dynamics 2008
Baleanu, D. and Trujillo, J.J., (2008). "On exact solutions of a class of fractional Euler-lagrange equations", Nonlinear Dynamics, vol. 52, no. 4, pp. 331-335 -
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An application of Szegö quadratures to the computation of the Fourier transform: Applied Mathematics and Computation 2007
González-Vera, P. and Martínez, H. and Trujillo, J.J., (2007). "An application of Szegö quadratures to the computation of the Fourier transform", Applied Mathematics and Computation, vol. 187, no. 1 SPEC. ISS., pp. 183-194 -
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Fractional differential equations as alternative models to nonlinear differential equations: Applied Mathematics and Computation 2007
Bonilla, B. and Rivero, M. and Rodríguez-Germá, L. and Trujillo, J.J., (2007). "Fractional differential equations as alternative models to nonlinear differential equations", Applied Mathematics and Computation, vol. 187, no. 1 SPEC. ISS., pp. 79-88 -
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On systems of linear fractional differential equations with constant coefficients: Applied Mathematics and Computation 2007
Bonilla, B. and Rivero, M. and Trujillo, J.J., (2007). "On systems of linear fractional differential equations with constant coefficients", Applied Mathematics and Computation, vol. 187, no. 1 SPEC. ISS., pp. 68-78 -
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Stirling functions of first kind in the setting of fractional calculus and generalized differences: Journal of Difference Equations and Applications 2007
Butzer, P.L. and Kilbas, A.A. and Rodríguez-Germá, L. and Trujillo, J.J., (2007). "Stirling functions of first kind in the setting of fractional calculus and generalized differences", Journal of Difference Equations and Applications, vol. 13, no. 8-9, pp. 683-721 -
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α-Analytic solutions of some linear fractional differential equations with variable coefficients: Applied Mathematics and Computation 2007
Kilbas, A.A. and Rivero, M. and Rodríguez-Germá, L. and Trujillo, J.J., (2007). "α-Analytic solutions of some linear fractional differential equations with variable coefficients", Applied Mathematics and Computation, vol. 187, no. 1 SPEC. ISS., pp. 239-249 -
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Caputo linear fractional differential equations: IFAC Proceedings Volumes (IFAC-PapersOnline) 2006
Kilbas, A.A. and Rivero, M. and Rodríguez-Germá, L. and Trujillo, J.J., (2006). "Caputo linear fractional differential equations", IFAC Proceedings Volumes (IFAC-PapersOnline), vol. 2, no. PART 1, pp. 52-57 -
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Caputo sequential linear fractional differential equations: Proceedings of the 5th International Conference on Engineering Computational Technology 2006
Bonilla, B. and Rivero, M. and Rodríguez-Germá, L. and Trujillo, J.J., (2006). "Caputo sequential linear fractional differential equations", Proceedings of the 5th International Conference on Engineering Computational Technology -
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Preface: North-Holland Mathematics Studies 2006
Kilbas, A.A. and Srivastava, H.M. and Trujillo, J.J., (2006). "Preface", North-Holland Mathematics Studies, vol. 204, no. C -
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The Krätzel function as the H-function and the evaluation of integrals: Proceedings of the 5th International Conference on Engineering Computational Technology 2006
Kilbas, A.A. and Saigo, M. and Saxena, R.K. and Trujillo, J.J., (2006). "The Krätzel function as the H-function and the evaluation of integrals", Proceedings of the 5th International Conference on Engineering Computational Technology -
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On the solution of fractional evolution equations: Journal of Physics A: Mathematical and General 2004
Kilbas, A.A. and Pierantozzi, T. and Trujillo, J.J. and Vázquez, L., (2004). "On the solution of fractional evolution equations", Journal of Physics A: Mathematical and General, vol. 37, no. 9, pp. 3271-3283 -
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A New Approximate Formulation of the Koutecky Function Mar-2003
Ruiz Morales, J, Placeres, J, Barrera Niebla, M, Trujillo Jacinto del Castillo, J & Germá, L, 2003, 'A New Approximate Formulation of the Koutecky Function', Electroanalysis, vol. 15, no. 3, pp. 196-199. -
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Generalized stirling functions of second kind and representations of fractional order differences via derivatives: Journal of Difference Equations and Applications 2003
Butzer, P.L. and Kilbas, A.A. and Trujillo, J.J., (2003). "Generalized stirling functions of second kind and representations of fractional order differences via derivatives", Journal of Difference Equations and Applications, vol. 9, no. 5, pp. 503-533 -
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Hadamard-Type Integrals as G-transforms: Integral Transforms and Special Functions 2003
Kilbas, A.A. and Trujillo, J.J., (2003). "Hadamard-Type Integrals as G-transforms", Integral Transforms and Special Functions, vol. 14, no. 5, pp. 413-427 -
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Stirling functions of the second kind in the setting of difference and fractional calculus: Numerical Functional Analysis and Optimization 2003
Butzer, P.L. and Kilbas, A.A. and Trujillo, J.J., (2003). "Stirling functions of the second kind in the setting of difference and fractional calculus", Numerical Functional Analysis and Optimization, vol. 24, no. 7-8, pp. 673-711 -
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Asymptotic representations for hypergeometric-Bessel type function and fractional integrals: Journal of Computational and Applied Mathematics 2002
Kilbas, A.A. and Rodríguez, L. and Trujillo, J.J., (2002). "Asymptotic representations for hypergeometric-Bessel type function and fractional integrals", Journal of Computational and Applied Mathematics, vol. 149, no. 2, pp. 469-487 -
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Compositions of Hadamard-type fractional integration operators and the semigroup property: Journal of Mathematical Analysis and Applications 2002
Butzer, P.L. and Kilbas, A.A. and Trujillo, J.J., (2002). "Compositions of Hadamard-type fractional integration operators and the semigroup property", Journal of Mathematical Analysis and Applications, vol. 269, no. 2, pp. 387-400 -
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Fractional calculus in the Mellin setting and Hadamard-type fractional integrals: Journal of Mathematical Analysis and Applications 2002
Butzer, P.L. and Kilbas, A.A. and Trujillo, J.J., (2002). "Fractional calculus in the Mellin setting and Hadamard-type fractional integrals", Journal of Mathematical Analysis and Applications, vol. 269, no. 1, pp. 1-27 -
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Mellin transform analysis and integration by parts for Hadamard-type fractional integrals: Journal of Mathematical Analysis and Applications 2002
Butzer, P.L. and Kilbas, A.A. and Trujillo, J.J., (2002). "Mellin transform analysis and integration by parts for Hadamard-type fractional integrals", Journal of Mathematical Analysis and Applications, vol. 270, no. 1, pp. 1-15 -
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Computation of fractional integrals via functions of hypergeometric and Bessel type: Journal of Computational and Applied Mathematics 2000
Kilbas, A.A. and Trujillo, J.J., (2000). "Computation of fractional integrals via functions of hypergeometric and Bessel type", Journal of Computational and Applied Mathematics, vol. 118, no. 1-2, pp. 223-239 -
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Generalized Hankel transform on £ν,r-space: Integral Transforms and Special Functions 2000
Kilbas, A.A. and Trujillo, J.J., (2000). "Generalized Hankel transform on £ν,r-space", Integral Transforms and Special Functions, vol. 9, no. 4, pp. 271-286 -
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Modified Bessel-type function and solution of differential and integral equations: Indian Journal of Pure and Applied Mathematics 2000
Bonilla, B. and Kilbas, A.A. and Rivero, M. and Rodriguez, L. and Trujillo, J.J., (2000). "Modified Bessel-type function and solution of differential and integral equations", Indian Journal of Pure and Applied Mathematics, vol. 31, no. 1, pp. 93-109 -
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Nonlinear differential equations of fractional order in the space of integrable functions: Doklady Mathematics 2000
Kilbas, A.A. and Bonilla, B. and Trujillo, J., (2000). "Nonlinear differential equations of fractional order in the space of integrable functions", Doklady Mathematics, vol. 62, no. 2, pp. 222-226 -
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On the Meijer transform in ℒv,r-Space: Integral Transforms and Special Functions 2000
Kilbas, A.A. and Saigo, M. and Trujillo, J.J., (2000). "On the Meijer transform in ℒv,r-Space", Integral Transforms and Special Functions, vol. 10, no. 3-4, pp. 267-282 -
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Bessel-type functions and Bessel-type integral transformation on spaces ℱ p, μ and ℱ′ p, μ: Integral Transforms and Special Functions 1999
Bonilla, B. and Rivero, M. and Rodríguez, J. and Trujillo, J. and Kilbas, A.A., (1999). "Bessel-type functions and Bessel-type integral transformation on spaces ℱ p, μ and ℱ′ p, μ", Integral Transforms and Special Functions, vol. 8, no. 1-2, pp. 13-30 -
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Fractional Order Continuity and Some Properties about Integrability and Differentiability of Real Functions: Journal of Mathematical Analysis and Applications 1999
Bonilla, B. and Trujillo, J.J. and Rivero, M., (1999). "Fractional Order Continuity and Some Properties about Integrability and Differentiability of Real Functions", Journal of Mathematical Analysis and Applications, vol. 231, no. 1, pp. 205-212 -
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On a Riemann-Liouville Generalized Taylor's Formula: Journal of Mathematical Analysis and Applications 1999
Trujillo, J.J. and Rivero, M. and Bonilla, B., (1999). "On a Riemann-Liouville Generalized Taylor's Formula", Journal of Mathematical Analysis and Applications, vol. 231, no. 1, pp. 255-265 -
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Fractional operators and some special functions
Margarita Rivero, Luis Rodríguez-Germá, Juan J. Trujillo, M. Pilar Velasco, 2010, 'Fractional operators and some special functions', Computers & Mathematics with Applications, vol. 59, no. 5
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