[1] M. Al-Refai and M. Hajji, Monotone iterative sequences for nonlinear boundary value problems of fractional order. Nonlinear Anal.
74 (2011), 3531–3539. http://dx.doi.org/10.1016/j.na.2011.03.006CrossrefGoogle Scholar

[2] M. Al-Refai, On the fractional derivative at extreme points. Electr. J. of Qualitative Theory of Diff. Eqn.
55 (2012), 1–5. Google Scholar

[3] M. Al-Refai, Basic results on nonlinear eigenvalue problems of fractional order. Electr. J. of Differential Equations
2012 (2012), 1–12. Google Scholar

[4] S.D. Eidelman and A.N. Kochubei, Cauchy problem for fractional diffusion equations. J. Diff. Equat.
199 (2004), 211–255. http://dx.doi.org/10.1016/j.jde.2003.12.002CrossrefGoogle Scholar

[5] S.B. Hadid and Yu. Luchko, An operational method for solving fractional differential equations of an arbitrary real order. Panamerican Mathematical Journal
6 (1996), 57–73. Google Scholar

[6] A.N. Kochubei, Fractional-order diffusion. Differential Equations
26 (1990), 485–492. Google Scholar

[7] Yu. Luchko, Operational method in fractional calculus. Fract. Calc. Appl. Anal.
2, No 4 (1999), 463–489. Google Scholar

[8] Yu. Luchko, Maximum principle for the generalized time-fractional diffusion equation. J. of Mathematical Analysis and Applications
351 (2009), 218–223. http://dx.doi.org/10.1016/j.jmaa.2008.10.018CrossrefWeb of ScienceGoogle Scholar

[9] Yu. Luchko, Boundary value problems for the generalized timefractional diffusion equation of distributed order. Fract. Calc. Appl. Anal.
12 (2009), 409–422; http://www.math.bas.bg/~fcaa. Google Scholar

[10] Yu. Luchko, Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation. Computers and Mathematics with Applications
59 (2010), 1766–1772. http://dx.doi.org/10.1016/j.camwa.2009.08.015CrossrefGoogle Scholar

[11] Yu. Luchko, Initial-boundary-value problems for the generalized multiterm time-fractional diffusion equation. J. of Mathematical Analysis and Applications
374 (2011), 538–548. http://dx.doi.org/10.1016/j.jmaa.2010.08.048CrossrefWeb of ScienceGoogle Scholar

[12] Yu. Luchko, Maximum principle and its application for the timefractional diffusion equations. Fract. Calc. Appl. Anal.
14, No 1 (2011), 110–124; DOI: 10.2478/s13540-011-0008-6; http://link.springer.com/article/10.2478/s13540-011-0008-6. CrossrefWeb of ScienceGoogle Scholar

[13] Yu. Luchko, Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation. Fract. Calc. Appl. Anal.
15, No 1 (2012), 141–160; DOI: 10.2478/s13540-012-0010-7; http://link.springer.com/article/10.2478/s13540-012-0010-7. CrossrefGoogle Scholar

[14] Yu. Luchko and H.M. Srivastava, The exact solution of certain differential equations of fractional order by using operational calculus. Computers and Mathematics with Applications
29 (1995), 73–85. http://dx.doi.org/10.1016/0898-1221(95)00031-SCrossrefGoogle Scholar

[15] C.V. Pao, Nonlinear Parabolic and Elliptic Equations. Plenum Press, New York, 1992. Google Scholar

[16] I. Podlubny, Fractional Differential Equations. Academic Press, New York, 1999. Google Scholar

[17] M.H. Protter, H.F. Weinberger, Maximum Principles in Differential Equations, 3rd Edition. Springer, Berlin, 1999. Google Scholar

[18] P. Pucci, J.B. Serrin, The Maximum Principle. Birkhäuser, Basel, 2007. Google Scholar

[19] S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach, New York, 1993. Google Scholar

[20] H. Ye, F. Liu, V. Anh, I. Turner, Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations. Applied Mathematics and Computation
227 (2014), 531–540. http://dx.doi.org/10.1016/j.amc.2013.11.015CrossrefGoogle Scholar

## Comments (0)

General note:By using the comment function on degruyter.com you agree to our Privacy Statement. A respectful treatment of one another is important to us. Therefore we would like to draw your attention to our House Rules.