REFERENCES
[1] S. Abbas, M. Benchohra, and G. M. N’Gu´er´ekata, Topics in Fractional Differential Equations,
Springer, New York, 2012.
[2] S. Abbas, M. Benchohra, and G. M. N’Gu´er´ekata, Advanced Fractional Differential and Integral
Equations, Nova Science Publishers, New York, 2015.
[3] S. Abbas, M. Benchohra, and A.N. Vityuk, On fractional order derivatives and Darboux problem
for implicit differential equations, Fract. Calc. Appl. Anal. 15 (2012), 168–182.
[4] T. Allahviranloo, S. Abbasbandy, M. R. Balooch Shahryari, S. Salahshour, and D. Baleanu,
Algebraic solutions of fractional differential equations with uncertainty, to appear.
[5] R. P. Agarwal, V. Lakshmikantham, J. J. Nieto, On the concept of solution for fractional
differential equations with uncertainty, Nonlinear Anal. 72 (2010), 2859–2862.
[6] R.P. Agarwal, M. Benchohra, D. O’Regan, and A. Ouahab, Fuzzy solutions for multipoint
boundary value problems, Mem. Differential Equations Math. Phys. 35 (2005), 1–14.
[7] S. Arshad and V. Lupulescu, On the fractional differential equations with uncertainty, Nonlinear
Anal. 74 (2011), 3685–3693.
[8] D. Baleanu, K. Diethelm, E. Scalas, and J. J. Trujillo, Fractional Calculus Models and Numerical
Methods, World Scientific Publishing, New York, 2012.
[9] J. Dugundji and A. Granas, Fixed Point Theory, Springer-Verlag, New-York 2003.
[10] L. Gaul, P. Klein, and S. Kempfle, Damping description involving fractional operators, Mech.
Syst. Signal Process 5 (1991), 81–88.
[11] W. G. Glockle, T. F. Nonnenmacher, A fractional calculus approach of self-semilar protin
Dynomics, Bio-physics J. 68 (1995), 46–53.
[12] R. Hilfer, Applications of Fractional Calculus in Physics, World Scientific, Singapore 2000.
[13] M. Kisielewicz, Differential Inclusions and Optimal Control, Kluwer, Dordrecht, The Netherlands,
1991.
[14] O. Kaleva, The Cauchy problem for fuzzy differential equations, Fuzzy Sets and Systems 24
(1990), 389–396.
[15] A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential
Equations, North-Holland Mathematics Studies, 2006.
[16] V. Lakshmikantham, S. Leela, and J. Vasundhara Devi, Theory of Fractional Dynamic Systems,
Cambridge Scientific Publishers, Cambridge, 2009.
[17] K. B. Oldham, J. Spanier, The Fractional Calculus: Theory and Application of Differentiation
and Integration to An Arbitrary Order. Academic Press, New York–London, 1974.
[18] I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.
[19] M. Puri and D. Ralescu, Fuzzy random variables, J. Math. Anal. Appl. 114 (1986), 409–422.
[20] S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives, Theory
and Applications, Gordon and Breach, Yverdon, 1993.
[21] V. E. Tarasov, Fractional Dynamics: Application of Fractional Calculus to Dynamics of Particles,
Fields and Media, Springer, Heidelberg; Higher Education Press, Beijing, 2010.
[22] A. N. Vityuk and A. V. Golushkov, Existence of solutions of systems of partial differential
equations of fractional order, Nonlinear Oscil. 7 (3) (2004), 318–325.