TY - CHAP AU - Diethelm, K. AU - Freed, A. D. ED - Keil, F. ED - Mackens, W. ED - Voss, H. ED - Werthers, J. PY - 1999 DA - 1999// TI - On the solutions of nonlinear fractional order differential equations used in the modelling of viscoplasticity BT - Scientific Computing in Chemical Engineering II--Computational Fluid Dynamics, Reaction Engineering and Molecular Properties PB - Springer CY - Heidelberg ID - Diethelm1999 ER - TY - JOUR AU - Gaul, L. AU - Klein, P. AU - Kempffe, S. PY - 1991 DA - 1991// TI - Damping description involving fractional operators JO - Mech Syst Signal Process VL - 5 UR - https://doi.org/10.1016/0888-3270(91)90016-X DO - 10.1016/0888-3270(91)90016-X ID - Gaul1991 ER - TY - JOUR AU - Glockle, W. G. AU - Nonnenmacher, T. F. PY - 1995 DA - 1995// TI - A fractional calculus approach of self-similar protein dynamics JO - Biophys J VL - 68 UR - https://doi.org/10.1016/S0006-3495(95)80157-8 DO - 10.1016/S0006-3495(95)80157-8 ID - Glockle1995 ER - TY - CHAP AU - Mainardi, F. ED - Carpinteri, C. A. ED - Mainardi, F. PY - 1997 DA - 1997// TI - Fractional calculus: Some basic problems in continuum and statistical mechanics BT - Fractal and Fractional Calculus in Continuum Mechanics PB - Springer CY - Wien 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 - JOUR AU - Metzler, F. AU - Schick, W. AU - Kilian, H. G. AU - Nonnenmache, T. F. PY - 1995 DA - 1995// TI - Relaxation in filled polymers: A fractional calculus approach JO - J Chem Phys VL - 103 UR - https://doi.org/10.1063/1.470346 DO - 10.1063/1.470346 ID - Metzler1995 ER - TY - CHAP AU - Oldham, K. B. AU - Spanier, J. PY - 1974 DA - 1974// BT - The Fractional Calculus PB - Academic Press CY - New York ID - Oldham1974 ER - TY - JOUR AU - Kilbas, A. A. AU - Trujillo, J. J. PY - 2001 DA - 2001// TI - Differential equations of fractional order: Methods, results and problems-I JO - Appl Anal VL - 78 UR - https://doi.org/10.1080/00036810108840931 DO - 10.1080/00036810108840931 ID - Kilbas2001 ER - TY - CHAP AU - Samko, S. G. AU - Marichev, O. I. AU - Kilbas, A. A. PY - 1993 DA - 1993// BT - Fractional Integral and Derivative, Theory and Applications PB - Gordon and Breach, Yverdon CY - Switzerland ID - Samko1993 ER - TY - CHAP AU - Miller, K. S. AU - Ross, B. PY - 1993 DA - 1993// BT - An Introduction to the Fractional Calculus and Fractional Differential Equations PB - Wiley CY - New York ID - Miller1993 ER - TY - CHAP AU - Podlubny, I. PY - 1999 DA - 1999// BT - Fractional Differential Equations PB - Academic Press CY - San Diego ID - Podlubny1999 ER - TY - JOUR AU - Lakshmikantham, V. AU - Vatsala, A. S. PY - 2008 DA - 2008// TI - Basic theory of fractional differential equations JO - Nonlinear Anal VL - 69 UR - https://doi.org/10.1016/j.na.2007.08.042 DO - 10.1016/j.na.2007.08.042 ID - Lakshmikantham2008 ER - TY - JOUR AU - Lakshmikantham, V. PY - 2008 DA - 2008// TI - Theory of fractional functional differential equations JO - Nonlinear Anal VL - 69 UR - https://doi.org/10.1016/j.na.2007.09.025 DO - 10.1016/j.na.2007.09.025 ID - Lakshmikantham2008 ER - TY - JOUR AU - Bai, C. PY - 2006 DA - 2006// TI - Positive solutions for nonlinear fractional differential equations with coefficient that changes sign JO - Nonlinear Anal VL - 64 UR - https://doi.org/10.1016/j.na.2005.04.047 DO - 10.1016/j.na.2005.04.047 ID - Bai2006 ER - TY - JOUR AU - Bai, Z. AU - Ge, W. PY - 2004 DA - 2004// TI - Existence of three positive solutions for some second-order boundary value problems JO - Comput Math Appl VL - 48 UR - https://doi.org/10.1016/j.camwa.2004.03.002 DO - 10.1016/j.camwa.2004.03.002 ID - Bai2004 ER - TY - JOUR AU - Bai, Z. AU - Lü, H. PY - 2005 DA - 2005// TI - Positive solutions for boundary value problem of nonlinear fractional differential equation JO - J Math Anal Appl VL - 311 UR - https://doi.org/10.1016/j.jmaa.2005.02.052 DO - 10.1016/j.jmaa.2005.02.052 ID - Bai2005 ER - TY - JOUR AU - Bai, Z. PY - 2010 DA - 2010// TI - On positive solutions of a nonlocal fractional boundary value problem JO - Nonlinear Anal VL - 72 UR - https://doi.org/10.1016/j.na.2009.07.033 DO - 10.1016/j.na.2009.07.033 ID - Bai2010 ER - TY - JOUR AU - Zhang, S. PY - 2006 DA - 2006// TI - Existence of solution for a boundary value problem of fractional order JO - Acta Math Sci VL - 26 UR - https://doi.org/10.1016/S0252-9602(06)60044-1 DO - 10.1016/S0252-9602(06)60044-1 ID - Zhang2006 ER - TY - JOUR AU - Zhao, Y. AU - Sun, S. AU - Han, Z. AU - Li, Q. PY - 2011 DA - 2011// TI - Positive solutions to boundary value problems of nonlinear fractional differential equations JO - Abs Appl Anal VL - 2011 ID - Zhao2011 ER - TY - JOUR AU - Harjani, J. AU - Sadarangani, K. PY - 2009 DA - 2009// TI - Fixed point theorems for weakly contractive mappings in partially ordered sets JO - Nonlinear Anal VL - 71 UR - https://doi.org/10.1016/j.na.2009.01.240 DO - 10.1016/j.na.2009.01.240 ID - Harjani2009 ER - TY - CHAP AU - Kilbas, A. A. AU - Srivastava, H. M. AU - Trujillo, J. J. PY - 2006 DA - 2006// TI - Theory and Applications of Fractional Differential Equations BT - North-Holland Mathematics Studies PB - Elsevier CY - Amsterdam ID - Kilbas2006 ER - TY - CHAP AU - Yu, Y. AU - Jiang, D. PY - 2009 DA - 2009// BT - Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation PB - Northeast Normal University CY - Changchun, Jilin Province, Republic of China PRC ID - Yu2009 ER - TY - JOUR AU - Nieto, J. J. AU - Rodríguez-López, R. PY - 2005 DA - 2005// TI - Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations JO - Order VL - 22 UR - https://doi.org/10.1007/s11083-005-9018-5 DO - 10.1007/s11083-005-9018-5 ID - Nieto2005 ER - TY - JOUR AU - Harjani, J. AU - López, B. AU - Sadarangani, K. PY - 2010 DA - 2010// TI - On positive solutions of a nonlinear fourth order boundary value problem via a fixed point theorem in ordered sets JO - Dyn Syst Appl VL - 19 ID - Harjani2010 ER -