Kragujevac Journal of Mathematics
University of Kragujevac - Faculty of Science

[1]   M. S. Abdo and S. K. Panchal, Fractional integro-differential equations involving ζ-Hilfer fractional derivative, Adv. Appl. Math. Mech. 11 (2019), 338–359.

[2]   R. P. Agarwal, B. Ahmad and A. Alsaedi, Fractional-order differential equations with anti-periodic boundary conditions: A survey, Bound. Value Probl. (2017), Paper ID 173, 27 pages.

[3]   B. Ahmad, A. Alsaedi, D. Hnaien and M. Kirane, On a semi-linear system of nonlocal time and space reaction diffusion equations with exponential nonlinearities, J. Integral Equations Appl. 30 (2018), 17–40.

[4]   B. Ahmad and R. Luca, Existence of solutions for a system of fractional differential equations with coupled nonlocal boundary conditions, Fract. Calc. Appl. Anal. 21 (2018), 423–441.

[5]   B. Ahmad, M. M. Matar and O. M. El-Salmy, Existence of solutions and Ulam stability for Caputo type sequential fractional differential equations of order α ∈ (2, 3), International Journal of Nonlinear Analysis and Applications 15 (2017), 86–101.

[6]   B. Ahmad, S. K. Ntouyas and A. Alsaedi, On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions, Chaos Solitons Fractals 83 (2016), 234–241.

[7]   B. Ahmad and S. K. Ntouyas, Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions, Appl. Math. Comput. 266 (2015), 615–622.

[8]   A. Alsaedi, N. Alghamdi, R. P. Agarwal, S. K. Ntouyas and B. Ahmad, Multi-term fractional-order boundary-value problems with nonlocal integral boundary conditions, Electron. J. Differential Equations 87 (2018), 16 pages.

[9]   A. A. M. Arafa, S. Z. Rida and M. Khalil, Fractional modeling dynamics of HIV and CD4+ T-cells during primary infection, Nonlinear Biomedical Physics 6(1) (2012), 7 pages.

[10]   A. Carvalho and C. M. A. Pinto, A delay fractional order model for the co-infection of malaria and HIV/AIDS, Int. J. Dyn. Control 5 (2017), 168–186.

[11]   A. Granas and J. Dugundji, Fixed Point Theory, Springer-Verlag, New York, 2003.

[12]   J. Henderson, R. Luca and A. Tudorache, On a system of fractional differential equations with coupled integral boundary conditions, Fract. Calc. Appl. Anal. 18 (2015), 361–386.

[13]   B. Henry and S. Wearne, Existence of Turing instabilities in a two-species fractional reaction-diffusion system, SIAM J. Appl. Math. 62 (2002), 870–887.

[14]   R. Herrmann, Fractional Calculus: An Introduction for Physicists, World Scientific, Singapore, 2011.

[15]   R. Hilfer, Threefold introduction to fractional derivatives, in: R. Klages, G. Radons and I. M. Sokolov (Eds.), Anomalous Transport: Foundations and Applications, Wiley-VCH, Weinheim, 2008, 17–74.

[16]   M. Javidi and B. Ahmad, Dynamic analysis of time fractional order phytoplankton-toxic phytoplankton-zooplankton system, Ecological Modelling 318 (2015), 8–18.

[17]   A. A. Kilbas, H. M. Srivastava and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies 204, Elsevier Science B.V., Amsterdam, 2006.

[18]   C.-G. Li, M. Kostić and M. Li, Abstract multi-term fractional differential equations, Kragujevac J. Math. 38 (2014), 51–71.

[19]   Y. Liu, Boundary value problems of singular multi-term fractional differential equations with impulse effects, Math. Nachr. 289 (2016), 1526–1547.

[20]   F. Mainardi, Some basic problems in continuum and statistical mechanics, in: A. Carpinteri, F. Mainardi (Eds.), Fractals and Fractional Calculus in Continuum Mechanics, Springer, Berlin, 1997, 291–348.

[21]   F. Mainardi, Fractional Calculus and Waves in Linear Viscoelasticy, World Scientific, Singapore, 2010.

[22]   R. L. Magin, Fractional calculus in bioengineering, Critical Reviews in Biomedical Engineering 32 (1) (2004), 1–104.

[23]   T. Matsuzaki and M. Nakagawa, A chaos neuron model with fractional differential equation, Journal of the Physical Society of Japan 72 (2003), 2678–2684.

[24]    R. Schumer, D. Benson, M. M. Meerschaert and S. W. Wheatcraft, Eulerian derivative of the fractional advection-dispersion equation, Journal of Contaminant Hydrology 48 (2001), 69–88.

[25]   S. Stanek, Periodic problem for two-term fractional differential equations, Fract. Calc. Appl. Anal. 20 (2017), 662–678.

[26]   C. Thaiprayoon, S. K. Ntouyas and J. Tariboon, On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation, Adv. Difference Equ. 2015 (2015), Paper ID 374, 16 pages.

[27]   P. J. Torvik and R. L. Bagley, On the appearance of the fractional derivative in the behavior of real materials, J. Appl. Mech. 51 (1984), 294–298.

[28]   G. Wang, B. Ahmad, L. Zhang and R. P. Agarwal, Nonlinear fractional integro-differential equations on unbounded domains in a Banach space, J. Comput. Appl. Math. 249 (2013), 51–56.

[29]   J. R. Wang and Y. Zhang, Analysis of fractional order differential coupled systems, Math. Method. Appl. Sci. 38 (2015), 3322–3338.

[30]   J. R. Wang, Y. Zhou and M. Feckan, On the nonlocal Cauchy problem for semilinear fractional order evolution equations, Central European Journal of Mathematics 12 (2014), 911-922.

[31]   F. Zhang, G. Chen, C. Li and J. Kurths, Chaos synchronization in fractional differential systems, Philos. Trans. Roy. Soc. A 371 (2013), 26 pages.

[32]   Y. Zhou, Basic Theory of Fractional Differential Equations, World Scientific Publishing Co. Pte. Ltd., Hackensack, New Jersey, 2014.