TY - BOOK AU - Oldham, K. B. AU - Spanier, J. PY - 1974 DA - 1974// TI - The Fractional Calculus ID - Oldham1974 ER - TY - BOOK AU - Srivastava, H. M. AU - Owa, S. PY - 1989 DA - 1989// TI - Univalent Functions, Fractional Calculus, and Their Applications PB - Ellis Horwood CY - Chichester ID - Srivastava1989 ER - TY - BOOK AU - Oustaloup, A. PY - 1991 DA - 1991// TI - La commande CRONE: commande robuste d’ordre non entier PB - Hermes CY - Paris ID - Oustaloup1991 ER - TY - BOOK AU - Miller, K. S. AU - Ross, B. PY - 1993 DA - 1993// TI - An Introduction to the Fractional Calculus and Fractional Differential Equations ID - Miller1993 ER - TY - BOOK AU - Samko, S. G. AU - Kilbas, A. A. AU - Marichev, O. I. PY - 1993 DA - 1993// TI - Fractional Integrals and Derivatives: Theory and Applications PB - Breach CY - Yverdon ID - Samko1993 ER - TY - BOOK AU - Kiryakova, V. PY - 1994 DA - 1994// TI - Generalized Fractional Calculus and Applications PB - Longman CY - New York ID - Kiryakova1994 ER - TY - CHAP AU - Mainardi, F. ED - Carpinteri, A. ED - Mainardi, F. PY - 1997 DA - 1997// TI - Fractional calculus BT - Fractals and Fractional Calculus in Continuum Mechanics UR - https://doi.org/10.1007/978-3-7091-2664-6_7 DO - 10.1007/978-3-7091-2664-6_7 ID - Mainardi1997 ER - TY - BOOK AU - Podlubny, I. PY - 1999 DA - 1999// TI - Fractional Differential Equations PB - Academic Press CY - San Diego ID - Podlubny1999 ER - TY - BOOK PY - 2000 DA - 2000// TI - Applications of Fractional Calculus in Physics PB - World Scientific CY - Singapore ID - ref9 ER - TY - BOOK AU - Zaslavsky, G. M. PY - 2005 DA - 2005// TI - Hamiltonian Chaos and Fractional Dynamics PB - Oxford University Press CY - London ID - Zaslavsky2005 ER - TY - BOOK AU - Kilbas, A. A. AU - Srivastava, H. M. AU - Trujillo, J. J. PY - 2006 DA - 2006// TI - Theory and Applications of Fractional Differential Equations PB - Elsevier CY - Amsterdam UR - https://doi.org/10.1016/S0304-0208(06)80001-0 DO - 10.1016/S0304-0208(06)80001-0 ID - Kilbas2006 ER - TY - BOOK AU - Magin, R. L. PY - 2006 DA - 2006// TI - Fractional Calculus in Bioengineering PB - Begell House CY - Redding ID - Magin2006 ER - TY - BOOK AU - Sabatier, J. AU - Agrawal, O. P. AU - Machado, J. A. T. PY - 2007 DA - 2007// TI - Advances in Fractional Calculus PB - Springer CY - Dordrecht UR - https://doi.org/10.1007/978-1-4020-6042-7 DO - 10.1007/978-1-4020-6042-7 ID - Sabatier2007 ER - TY - CHAP AU - Hilfer, R. PY - 2008 DA - 2008// TI - Threefold introduction to fractional derivatives BT - Anomalous Transport: Foundations and Applications UR - https://doi.org/10.1002/9783527622979.ch2 DO - 10.1002/9783527622979.ch2 ID - Hilfer2008 ER - TY - BOOK AU - Mainardi, F. PY - 2010 DA - 2010// TI - Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models PB - World Scientific CY - Singapore UR - https://doi.org/10.1142/9781848163300 DO - 10.1142/9781848163300 ID - Mainardi2010 ER - TY - BOOK AU - Monje, C. A. AU - Chen, Y. AU - Vinagre, B. M. AU - Xue, D. AU - Feliu-Batlle, V. PY - 2010 DA - 2010// TI - Fractional-Order Systems and Controls: Fundamentals and Applications PB - Springer CY - London UR - https://doi.org/10.1007/978-1-84996-335-0 DO - 10.1007/978-1-84996-335-0 ID - Monje2010 ER - TY - BOOK AU - Klafter, J. AU - Lim, S. C. AU - Metzler, R. PY - 2011 DA - 2011// TI - Fractional Dynamics: Recent Advances PB - World Scientific CY - Singapore UR - https://doi.org/10.1142/9789814340595 DO - 10.1142/9789814340595 ID - Klafter2011 ER - TY - BOOK AU - Tarasov, V. E. PY - 2011 DA - 2011// TI - Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media PB - Springer CY - Berlin ID - Tarasov2011 ER - TY - BOOK AU - Baleanu, D. AU - Diethelm, K. AU - Scalas, E. AU - Trujillo, J. J. PY - 2012 DA - 2012// TI - Fractional Calculus: Models and Numerical Methods PB - World Scientific CY - Singapore ID - Baleanu2012 ER - TY - BOOK AU - Yang, X. -. J. PY - 2012 DA - 2012// TI - Advanced Local Fractional Calculus and Its Applications PB - World Science CY - New York ID - Yang2012 ER - TY - BOOK AU - Jumarie, G. PY - 2013 DA - 2013// TI - Fractional Differential Calculus for Non-Differentiable Functions: Mechanics, Geometry, Stochastics, Information Theory PB - Lambert Academic Publishing CY - Saarbrucken ID - Jumarie2013 ER - TY - BOOK AU - Jumarie, G. PY - 2013 DA - 2013// TI - Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach PB - Springer CY - Dordrecht ID - Jumarie2013 ER - TY - BOOK AU - Tsallis, C. PY - 2009 DA - 2009// TI - Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World PB - Springer CY - New York ID - Tsallis2009 ER - TY - JOUR AU - Machado, J. A. T. PY - 2010 DA - 2010// TI - Entropy analysis of integer and fractional dynamical systems JO - J. Appl. Nonlinear Dyn. VL - 62 UR - https://doi.org/10.1007/s11071-010-9724-4 DO - 10.1007/s11071-010-9724-4 ID - Machado2010 ER - TY - JOUR AU - Machado, J. A. T. PY - 2012 DA - 2012// TI - Entropy analysis of fractional derivatives and their approximation JO - J. Appl. Nonlinear Dyn. VL - 1 UR - https://doi.org/10.5890/JAND.2012.03.001 DO - 10.5890/JAND.2012.03.001 ID - Machado2012 ER - TY - JOUR AU - Machado, J. A. T. PY - 2014 DA - 2014// TI - Fractional order generalized information JO - Entropy VL - 16 UR - https://doi.org/10.3390/e16042350 DO - 10.3390/e16042350 ID - Machado2014 ER - TY - JOUR AU - Machado, J. A. T. PY - 2016 DA - 2016// TI - Entropy analysis of systems exhibiting negative probabilities JO - Commun. Nonlinear Sci. Numer. Simul. VL - 36 UR - https://doi.org/10.1016/j.cnsns.2015.11.022 DO - 10.1016/j.cnsns.2015.11.022 ID - Machado2016 ER - TY - JOUR AU - Lopes, A. M. AU - Machado, J. A. T. PY - 2016 DA - 2016// TI - Entropy analysis of industrial accident data series JO - J. Comput. Nonlinear Dyn. VL - 11 UR - https://doi.org/10.1115/1.4031195 DO - 10.1115/1.4031195 ID - Lopes2016 ER - TY - JOUR AU - Ibrahim, R. W. AU - Jalab, H. A. PY - 2014 DA - 2014// TI - Existence of entropy solutions for nonsymmetric fractional systems JO - Entropy VL - 16 UR - https://doi.org/10.3390/e16094911 DO - 10.3390/e16094911 ID - Ibrahim2014 ER - TY - JOUR AU - Ibrahim, R. W. AU - Moghaddasi, Z. AU - Jalab, H. A. PY - 2015 DA - 2015// TI - Fractional differential texture descriptors based on the Machado entropy for image splicing detection JO - Entropy VL - 17 UR - https://doi.org/10.3390/e17074775 DO - 10.3390/e17074775 ID - Ibrahim2015 ER - TY - JOUR AU - Ibrahim, R. W. AU - Jalab, H. A. PY - 2015 DA - 2015// TI - Existence of Ulam stability for iterative fractional differential equations based on fractional entropy JO - Entropy VL - 17 UR - https://doi.org/10.3390/e17053172 DO - 10.3390/e17053172 ID - Ibrahim2015 ER - TY - JOUR AU - Ibrahim, R. W. AU - Jalab, H. A. AU - Gani, A. PY - 2016 DA - 2016// TI - Cloud entropy management system involving a fractional power JO - Entropy VL - 18 UR - https://doi.org/10.3390/e18010031 DO - 10.3390/e18010031 ID - Ibrahim2016 ER - TY - JOUR AU - Jiang, R. AU - Liao, H. AU - Yang, M. AU - Li, C. PY - 2015 DA - 2015// TI - A decision-making method for selecting cloud computing service based on information entropy JO - Int. J. Grid Distrib. Comput. VL - 8 UR - https://doi.org/10.14257/ijgdc.2015.8.4.21 DO - 10.14257/ijgdc.2015.8.4.21 ID - Jiang2015 ER - TY - CHAP AU - Paola, M. PY - 2013 DA - 2013// TI - Complex fractional moments and their use for the solution of the Fokker-Planck equation BT - Vienna Congress on Recent Advances in Earthquake Engineering and Structural Dynamics ID - Paola2013 ER - TY - JOUR AU - Ibrahim, R. W. PY - 2012 DA - 2012// TI - Fractional complex transforms for fractional differential equations JO - Adv. Differ. Equ. VL - 2012 UR - https://doi.org/10.1186/1687-1847-2012-192 DO - 10.1186/1687-1847-2012-192 ID - Ibrahim2012 ER - TY - JOUR AU - Ibrahim, R. W. PY - 2012 DA - 2012// TI - Complex transforms for systems of fractional differential equations JO - Abstr. Appl. Anal. VL - 2012 ID - Ibrahim2012 ER - TY - JOUR AU - Gerhold, S. PY - 2012 DA - 2012// TI - Asymptotics for a variant of the Mittag-Leffler function JO - Integral Transforms Spec. Funct. VL - 23 UR - https://doi.org/10.1080/10652469.2011.596151 DO - 10.1080/10652469.2011.596151 ID - Gerhold2012 ER - TY - JOUR AU - Yang, X. J. AU - Baleanu, D. AU - Lazarević, M. P. AU - Cajić, M. S. PY - 2015 DA - 2015// TI - Fractal boundary value problems for integral and differential equations with local fractional operators JO - Therm. Sci. ID - Yang2015 ER - TY - JOUR AU - Ibrahim, R. W. AU - Jalab, H. A. PY - 2015 DA - 2015// TI - Discrete boundary value problem based on the fractional Gâteaux derivative JO - Bound. Value Probl. VL - 2015 UR - https://doi.org/10.1186/s13661-015-0287-7 DO - 10.1186/s13661-015-0287-7 ID - Ibrahim2015 ER - TY - JOUR AU - Ahmad, B. AU - Agarwal, R. P. AU - Alsaedi, A. PY - 2016 DA - 2016// TI - Fractional differential equations and inclusions with semiperiodic and three-point boundary conditions JO - Bound. Value Probl. VL - 2016 UR - https://doi.org/10.1186/s13661-016-0533-7 DO - 10.1186/s13661-016-0533-7 ID - Ahmad2016 ER - TY - JOUR AU - Srivastava, H. M. AU - Singh Chandel, R. C. AU - Vishwakarma, P. K. PY - 1994 DA - 1994// TI - Fractional derivatives of certain generalized hypergeometric functions of several variables JO - J. Math. Anal. Appl. VL - 184 UR - https://doi.org/10.1006/jmaa.1994.1221 DO - 10.1006/jmaa.1994.1221 ID - Srivastava1994 ER - TY - JOUR AU - Bas, E. AU - Metin, F. PY - 2013 DA - 2013// TI - Fractional singular Sturm-Liouville operator for Coulomb potential JO - Adv. Differ. Equ. VL - 2013 UR - https://doi.org/10.1186/1687-1847-2013-300 DO - 10.1186/1687-1847-2013-300 ID - Bas2013 ER - TY - JOUR AU - Ansari, A. PY - 2015 DA - 2015// TI - Some inverse fractional Legendre transforms of gamma function form JO - Kodai Math. J. VL - 38 UR - https://doi.org/10.2996/kmj/1446210600 DO - 10.2996/kmj/1446210600 ID - Ansari2015 ER - TY - JOUR AU - Khosravian-Arab, H. AU - Dehghan, M. AU - Eslahchi, M. R. PY - 2015 DA - 2015// TI - Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications JO - J. Comput. Phys. VL - 299 UR - https://doi.org/10.1016/j.jcp.2015.06.030 DO - 10.1016/j.jcp.2015.06.030 ID - Khosravian-Arab2015 ER - TY - JOUR AU - Sat, M. AU - Panakhov, E. S. PY - 2014 DA - 2014// TI - Spectral problem for diffusion operator JO - Appl. Anal. VL - 93 UR - https://doi.org/10.1080/00036811.2013.821113 DO - 10.1080/00036811.2013.821113 ID - Sat2014 ER - TY - JOUR AU - Sat, M. AU - Panakhov, E. S. PY - 2013 DA - 2013// TI - A uniqueness theorem for Bessel operator from interior spectral data JO - Abstr. Appl. Anal. VL - 2013 UR - https://doi.org/10.1155/2013/713654 DO - 10.1155/2013/713654 ID - Sat2013 ER - TY - JOUR AU - Micula, S. PY - 2015 DA - 2015// TI - On spline collocation and the Hilbert transform JO - Carpath. J. Math. VL - 31 ID - Micula2015 ER - TY - JOUR AU - Marin, M. PY - 1999 DA - 1999// TI - An evolutionary equation in thermoelasticity of dipolar bodies JO - J. Math. Phys. VL - 40 UR - https://doi.org/10.1063/1.532809 DO - 10.1063/1.532809 ID - Marin1999 ER - TY - JOUR AU - Marsavina, L. AU - Craciun, M. PY - 2009 DA - 2009// TI - The asymptotic stress field for free edge joints under small-scale yielding conditions JO - An. Ştiinţ. Univ. ‘Ovidius’ Constanţa, Ser. Mat. VL - 17 ID - Marsavina2009 ER -