TY - JOUR AU - Abdeljawad, T. PY - 2015 DA - 2015// TI - On conformable fractional calculus JO - J. Comput. Appl. Math. VL - 279 UR - https://doi.org/10.1016/j.cam.2014.10.016 DO - 10.1016/j.cam.2014.10.016 ID - Abdeljawad2015 ER - TY - JOUR AU - Bai, Z. B. 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 - Bai, Z. B. AU - Chen, Y. Q. AU - Li, H. R. AU - Sun, S. J. PY - 2014 DA - 2014// TI - On the existence of blow up solutions for a class of fractional differential equations JO - Fract. Calc. Appl. Anal. VL - 17 UR - https://doi.org/10.2478/s13540-014-0220-2 DO - 10.2478/s13540-014-0220-2 ID - Bai2014 ER - TY - JOUR AU - Bai, Z. B. AU - Dong, X. Y. AU - Yin, C. PY - 2016 DA - 2016// TI - Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions JO - Bound. Value Probl. VL - 2016 UR - https://doi.org/10.1186/s13661-016-0589-4 DO - 10.1186/s13661-016-0589-4 ID - Bai2016 ER - TY - JOUR AU - Bai, Z. B. AU - Lü, H. S. PY - 2005 DA - 2005// TI - Positive solutions of 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. B. AU - Zhang, S. AU - Sun, S. J. AU - Yin, C. PY - 2016 DA - 2016// TI - Monotone iterative method for fractional differential equations JO - Electron. J. Differ. Equ. VL - 2016 UR - https://doi.org/10.1186/s13662-015-0733-y DO - 10.1186/s13662-015-0733-y ID - Bai2016 ER - TY - JOUR AU - Bai, Z. B. AU - Zhang, Y. H. PY - 2010 DA - 2010// TI - The existence of solutions for a fractional multi-point boundary value problem JO - Comput. Math. Appl. VL - 60 UR - https://doi.org/10.1016/j.camwa.2010.08.030 DO - 10.1016/j.camwa.2010.08.030 ID - Bai2010 ER - TY - JOUR AU - Bai, Z. B. AU - Zhang, Y. H. PY - 2011 DA - 2011// TI - Solvability of fractional three-point boundary value problems with nonlinear growth JO - Appl. Math. Comput. VL - 218 ID - Bai2011 ER - TY - JOUR AU - Chung, W. S. PY - 2015 DA - 2015// TI - Fractional Newton mechanics with conformable fractional derivative JO - J. Comput. Appl. Math. VL - 290 UR - https://doi.org/10.1016/j.cam.2015.04.049 DO - 10.1016/j.cam.2015.04.049 ID - Chung2015 ER - TY - JOUR AU - Cui, Y. J. PY - 2016 DA - 2016// TI - Uniqueness of solution for boundary value problems for fractional differential equations JO - Appl. Math. Lett. VL - 51 UR - https://doi.org/10.1016/j.aml.2015.07.002 DO - 10.1016/j.aml.2015.07.002 ID - Cui2016 ER - TY - JOUR AU - Diethelm, K. AU - Ford, N. J. PY - 2002 DA - 2002// TI - Analysis of fractional differential equations JO - J. Math. Anal. Appl. VL - 265 UR - https://doi.org/10.1006/jmaa.2000.7194 DO - 10.1006/jmaa.2000.7194 ID - Diethelm2002 ER - TY - JOUR AU - Dong, H. H. AU - Guo, B. Y. AU - Yin, B. S. PY - 2016 DA - 2016// TI - Generalized fractional supertrace identity for Hamiltonian structure of NLS-MKdV hierarchy with self-consistent sources JO - Anal. Math. Phys. VL - 6 UR - https://doi.org/10.1007/s13324-015-0115-3 DO - 10.1007/s13324-015-0115-3 ID - Dong2016 ER - TY - JOUR AU - Dong, X. Y. AU - Bai, Z. B. AU - Zhang, S. Q. PY - 2017 DA - 2017// TI - Positive solutions to boundary value problems of p-Laplacian with fractional derivative JO - Bound. Value Probl. VL - 2017 UR - https://doi.org/10.1186/s13661-016-0735-z DO - 10.1186/s13661-016-0735-z ID - Dong2017 ER - TY - JOUR AU - Dong, X. Y. AU - Bai, Z. B. AU - Zhang, W. PY - 2016 DA - 2016// TI - Positive solutions for nonlinear eigenvalue problems conformable fractional differential derivatives JO - J. Shandong Univ. Sci. Technol. Nat. Sci. VL - 35 ID - Dong2016 ER - TY - JOUR AU - Fan, Y. J. AU - Huang, X. AU - Wang, Z. AU - Li, Y. X. PY - 2018 DA - 2018// TI - Global dissipativity and quasi-synchronization of asynchronous updating fractional-order memristor-based neural networks via interval matrix method JO - J. Franklin Inst. VL - 355 UR - https://doi.org/10.1016/j.jfranklin.2018.05.058 DO - 10.1016/j.jfranklin.2018.05.058 ID - Fan2018 ER - TY - JOUR AU - Fan, Y. J. AU - Huang, X. AU - Wang, Z. AU - Li, Y. X. PY - 2018 DA - 2018// TI - Nonlinear dynamics and chaos in a simplified memristor-based fractional-order neural network with discontinuous memductance function JO - Nonlinear Dyn. VL - 93 UR - https://doi.org/10.1007/s11071-018-4213-2 DO - 10.1007/s11071-018-4213-2 ID - Fan2018 ER - TY - JOUR AU - Fečkan, M. AU - Marynets, K. AU - Wang, J. PY - 2019 DA - 2019// TI - Periodic boundary value problems for higher-order fractional differential systems JO - Math. Methods Appl. Sci. VL - 42 UR - https://doi.org/10.1002/mma.5601 DO - 10.1002/mma.5601 ID - Fečkan2019 ER - TY - JOUR AU - Fu, C. AU - Lu, C. N. AU - Yang, H. W. PY - 2018 DA - 2018// TI - Time–space fractional (2+1)$(2 + 1)$ dimensional nonlinear Schrodinger equation for envelope gravity waves in baroclinic atmosphere and conservation laws as well as exact solutions JO - Adv. Differ. Equ. VL - 2018 UR - https://doi.org/10.1186/s13662-018-1512-3 DO - 10.1186/s13662-018-1512-3 ID - Fu2018 ER - TY - JOUR AU - Fu, L. AU - Chen, Y. D. AU - Yang, H. W. PY - 2019 DA - 2019// TI - Time–space fractional coupled generalized Zakharov–Kuznetsov equations set for Rossby solitary waves in two-layer fluids JO - Mathematics VL - 7 UR - https://doi.org/10.3390/math7010041 DO - 10.3390/math7010041 ID - Fu2019 ER - TY - JOUR AU - Gao, C. H. PY - 2007 DA - 2007// TI - Existence of solutions to p-Laplacian difference equations under barrier strips conditions JO - Electron. J. Differ. Equ. VL - 2007 ID - Gao2007 ER - TY - JOUR AU - Garg, V. AU - Singh, K. PY - 2012 DA - 2012// TI - An improved Grünwald–Letnikov fractional differential mask for image texture enhancement JO - Int. J. Adv. Comput. Sci. Appl. VL - 3 ID - Garg2012 ER - TY - JOUR AU - Granas, A. AU - Guenther, R. AU - Lee, J. PY - 1980 DA - 1980// TI - Applications of topological transversality to differential equations. I. Some nonlinear diffusion problems JO - Pac. J. Math. VL - 89 UR - https://doi.org/10.2140/pjm.1980.89.53 DO - 10.2140/pjm.1980.89.53 ID - Granas1980 ER - TY - JOUR AU - He, L. M. AU - Dong, X. Y. AU - Bai, Z. B. AU - Chen, B. PY - 2017 DA - 2017// TI - Solvability of some two-point fractional boundary value problems under barrier strip conditions JO - J. Funct. Spaces VL - 2017 ID - He2017 ER - TY - JOUR AU - He, N. AU - Wang, J. B. AU - Zhang, L. L. AU - Lu, K. PY - 2015 DA - 2015// TI - An improved fractional-order differentiation model for image denoising JO - Signal Process. VL - 112 UR - https://doi.org/10.1016/j.sigpro.2014.08.025 DO - 10.1016/j.sigpro.2014.08.025 ID - He2015 ER - TY - JOUR AU - Javidi, M. AU - Nyamoradi, N. PY - 2013 DA - 2013// TI - Dynamic analysis of a fractional order prey–predator interaction with harvesting JO - Appl. Math. Model. VL - 37 UR - https://doi.org/10.1016/j.apm.2013.04.024 DO - 10.1016/j.apm.2013.04.024 ID - Javidi2013 ER - TY - JOUR AU - Katugampola, U. N. PY - 2014 DA - 2014// TI - A new fractional derivative with classical properties JO - J. Am. Math. Soc. VL - 6 ID - Katugampola2014 ER - TY - JOUR AU - Kelevedjiev, P. PY - 1994 DA - 1994// TI - Existence of solutions for two-point boundary value problems JO - Nonlinear Anal. VL - 22 UR - https://doi.org/10.1016/0362-546X(94)90035-3 DO - 10.1016/0362-546X(94)90035-3 ID - Kelevedjiev1994 ER - TY - JOUR AU - Kelevedjiev, P. S. AU - Tersian, S. PY - 2010 DA - 2010// TI - Singular and nonsingular first-order initial value problems JO - J. Math. Anal. Appl. VL - 366 UR - https://doi.org/10.1016/j.jmaa.2010.01.033 DO - 10.1016/j.jmaa.2010.01.033 ID - Kelevedjiev2010 ER - TY - JOUR AU - Kelevedjiev, P. S. AU - Tersian, S. A. PY - 2013 DA - 2013// TI - The barrier strip technique for a boundary value problem with p-Laplacian JO - Electron. J. Differ. Equ. VL - 2013 UR - https://doi.org/10.1186/1687-1847-2013-28 DO - 10.1186/1687-1847-2013-28 ID - Kelevedjiev2013 ER - TY - JOUR AU - Khalil, R. AU - Al Horani, M. AU - Yousef, A. AU - Sababheh, M. PY - 2014 DA - 2014// TI - A new definition of fractional derivative JO - J. Comput. Appl. Math. VL - 264 UR - https://doi.org/10.1016/j.cam.2014.01.002 DO - 10.1016/j.cam.2014.01.002 ID - Khalil2014 ER - TY - JOUR AU - Li, H. Y. AU - Sun, J. PY - 2011 DA - 2011// TI - Positive solutions of superlinear semipositone nonlinear boundary value problems JO - Comput. Math. Appl. VL - 61 UR - https://doi.org/10.1016/j.camwa.2011.03.051 DO - 10.1016/j.camwa.2011.03.051 ID - Li2011 ER - TY - JOUR AU - Li, H. Y. AU - Zhang, J. T. PY - 2017 DA - 2017// TI - Global structure of positive solutions for some second-order multipoint boundary value problems JO - J. Funct. Spaces VL - 2017 ID - Li2017 ER - TY - JOUR AU - Ma, R. Y. PY - 1997 DA - 1997// TI - Existence theorems for a second order three-point boundary value problem JO - J. Math. Anal. Appl. VL - 212 UR - https://doi.org/10.1006/jmaa.1997.5515 DO - 10.1006/jmaa.1997.5515 ID - Ma1997 ER - TY - JOUR AU - Ma, R. Y. AU - Luo, H. PY - 2004 DA - 2004// TI - Existence of solutions for a two-point boundary value problem on time scales JO - Appl. Math. Comput. VL - 150 ID - Ma2004 ER - TY - JOUR AU - Mingqi, X. AU - Radulescu, V. D. AU - Zhang, B. PY - 2019 DA - 2019// TI - Fractional Kirchhoff problems with critical Trudinger–Moser nonlinearity JO - Calc. Var. Partial Differ. Equ. VL - 58 UR - https://doi.org/10.1007/s00526-019-1499-y DO - 10.1007/s00526-019-1499-y ID - Mingqi2019 ER - TY - JOUR AU - Mingqi, X. AU - Radulescu, V. D. AU - Zhang, B. PY - 2019 DA - 2019// TI - A critical fractional Choquard–Kirchhoff problem with magnetic field JO - Commun. Contemp. Math. VL - 21 UR - https://doi.org/10.1142/S0219199718500049 DO - 10.1142/S0219199718500049 ID - Mingqi2019 ER - TY - JOUR AU - O’Regan, D. PY - 1991 DA - 1991// TI - Boundary value problems for second and higher order differential equations JO - Proc. Am. Math. Soc. VL - 113 UR - https://doi.org/10.1090/S0002-9939-1991-1069295-2 DO - 10.1090/S0002-9939-1991-1069295-2 ID - O’Regan1991 ER - TY - JOUR AU - Rostamy, D. AU - Mottaghi, E. PY - 2016 DA - 2016// TI - Stability analysis of a fractional-order epidemics model with multiple equilibriums JO - Adv. Differ. Equ. VL - 2016 UR - https://doi.org/10.1186/s13662-016-0905-4 DO - 10.1186/s13662-016-0905-4 ID - Rostamy2016 ER - TY - JOUR AU - Song, Q. L. AU - Dong, X. Y. AU - Bai, Z. B. AU - Chen, B. PY - 2017 DA - 2017// TI - Existence for fractional Dirichlet boundary value problem under barrier strip conditions JO - J. Nonlinear Sci. Appl. VL - 10 UR - https://doi.org/10.22436/jnsa.010.07.19 DO - 10.22436/jnsa.010.07.19 ID - Song2017 ER - TY - JOUR AU - Tian, Y. S. AU - Wei, Y. F. AU - Sun, S. J. PY - 2018 DA - 2018// TI - Multiplicity for fractional differential equations with p-Laplacian JO - Bound. Value Probl. VL - 2018 UR - https://doi.org/10.1186/s13661-018-1049-0 DO - 10.1186/s13661-018-1049-0 ID - Tian2018 ER - TY - BOOK AU - Uchaikin, V. V. PY - 2013 DA - 2013// TI - Fractional Derivatives for Physicists and Engineers PB - Springer CY - Berlin UR - https://doi.org/10.1007/978-3-642-33911-0 DO - 10.1007/978-3-642-33911-0 ID - Uchaikin2013 ER - TY - JOUR AU - Wang, P. G. AU - Li, C. R. AU - Zhang, J. AU - Li, T. X. PY - 2019 DA - 2019// TI - Quasilinearization method for first-order impulsive integro-differential equations JO - Electron. J. Differ. Equ. VL - 2019 UR - https://doi.org/10.1186/s13662-019-1976-9 DO - 10.1186/s13662-019-1976-9 ID - Wang2019 ER - TY - JOUR AU - Wang, P. G. AU - Liu, X. PY - 2017 DA - 2017// TI - Rapid convergence for telegraph systems with periodic boundary conditions JO - J. Funct. Spaces VL - 2017 ID - Wang2017 ER - TY - JOUR AU - Wang, X. H. AU - Wang, Z. AU - Huang, X. AU - Li, Y. X. PY - 2018 DA - 2018// TI - Dynamic analysis of a fractional-order delayed SIR model with saturated incidence and treatment functions JO - Int. J. Bifurc. Chaos VL - 28 UR - https://doi.org/10.1142/S0218127418501808 DO - 10.1142/S0218127418501808 ID - Wang2018 ER - TY - JOUR AU - Wang, Z. AU - Huang, X. AU - Zhou, J. P. PY - 2013 DA - 2013// TI - A numerical method for delayed fractional-order differential equations: based on G–L definition JO - Appl. Math. Inf. Sci. VL - 7 UR - https://doi.org/10.12785/amis/072L22 DO - 10.12785/amis/072L22 ID - Wang2013 ER - TY - JOUR AU - Wang, Z. AU - Wang, X. H. AU - Li, Y. X. AU - Huang, X. PY - 2017 DA - 2017// TI - Stability and Hopf bifurcation of fractional-order complex-valued single neuron model with time delay JO - Int. J. Bifurc. Chaos VL - 27 UR - https://doi.org/10.1142/S0218127417502091 DO - 10.1142/S0218127417502091 ID - Wang2017 ER - TY - JOUR AU - Zafar, Z. U. AU - Rehan, K. AU - Mushtaq, M. PY - 2017 DA - 2017// TI - HIV/AIDS epidemic fractional-order model JO - J. Differ. Equ. Appl. VL - 23 UR - https://doi.org/10.1080/10236198.2017.1321640 DO - 10.1080/10236198.2017.1321640 ID - Zafar2017 ER - TY - JOUR AU - Zhang, S. Q. PY - 2006 DA - 2006// TI - Positive solutions for boundary value problems of nonlinear fractional differential equations JO - Electron. J. Differ. Equ. VL - 2006 UR - https://doi.org/10.1155/ADE/2006/90479 DO - 10.1155/ADE/2006/90479 ID - Zhang2006 ER - TY - JOUR AU - Zhang, W. AU - Bai, Z. B. AU - Sun, S. J. PY - 2016 DA - 2016// TI - Extremal solutions for some periodic fractional differential equations JO - Adv. Differ. Equ. VL - 2016 UR - https://doi.org/10.1186/s13662-016-0869-4 DO - 10.1186/s13662-016-0869-4 ID - Zhang2016 ER - TY - JOUR AU - Zhao, D. Z. AU - Luo, M. K. PY - 2017 DA - 2017// TI - General conformable fractional derivative and its physical interpretation JO - Calcolo VL - 54 UR - https://doi.org/10.1007/s10092-017-0213-8 DO - 10.1007/s10092-017-0213-8 ID - Zhao2017 ER - TY - JOUR AU - Zou, Y. M. AU - Cui, Y. J. PY - 2013 DA - 2013// TI - Existence results for a functional boundary value problem of fractional differential equations JO - Adv. Differ. Equ. VL - 2013 UR - https://doi.org/10.1186/1687-1847-2013-233 DO - 10.1186/1687-1847-2013-233 ID - Zou2013 ER -