REFERENCES
[1] S. Abbas, M. Benchohra and G M. N’Gu´er´ekata, Advanced Fractional Differential
and Integral Equations, Nova Science Publishers, New York, 2015.
[2] S. Abbas, M. Benchohra and G M. N’Gu´er´ekata, Topics in Fractional Differential
Equations, Springer-Verlag, New York, 2012.
[3] B. Ahmed and J.J. Nieto, Existence results for nonlinear boundary value problems
of fractional integrodifferential equations with integral boundary coditions,
Boundary value problems (2009), Article ID 708576, 11 pages.
[4] D. Baleanu, K. Diethelm, E. Scalas, and J.J. Trujillo, Fractional Calculs Models
and Numerical Methods, World Scientific Publishing, New York, 2012.
[5] D. Baleanu, Z.B. G¨uven¸c and J.A.T. Machado, New Trends in Nanotechnology
and Fractional Calculus Applications, Springer, New York, 2010.
[6] M. Benchohra, and F. Berhoun and G.M. N’Gu´er´ekata, Bounded solutions for
fractional order differential equations on the half-line, Bul. Math. Appl. 146
(2008), 9-20.
[7] M. Benchohra, and J.R. Graef and S. Hamani, Existence results for boundary
value problems with nonlinear fractional differential equations, Appl. Anal. 87
(7) (2008), 851-863.
[8] M. Benchohra, and S. Hamani, Boundary value problems for differential equations
with fractional order, Surv. Math. Appl. 3 (2008), 1-12.
[9] M. Benchohra, J. Henderson, S.K. Ntouyas and A. Ouahab, Existence results
for functional differential equations of fractional order, J. Math. Anal. Appl. 338
(2008), 1340-1350.
[10] M. Benchohra, and J. E. Lazreg, Existence and uniqueness results for nonlinear
implicit fractional differential equations with boundary conditions, Romanian J.
Math. Comput. Sc. 4 (1) (2014), 60-72.
[11] M. Benchohra, and F. Ouaar, Existence results for nonlinear fractional differential
equations with integral boundary conditions, Bul. Math. Anal. Appl.
2(4)(2010), 7-15.
[12] R. Gorenflo and F. Mainardi, Fractional calculus: integral and differential equations
of fractional order. Fractals and fractional calculus in continuum mechanics
(Udine, 1996), 223–276, CISM Courses and Lectures, 378, Springer, Vienna,
1997.
[13] R. Hilfer, Applications of Fractional Calculus in Physics, World Scientific, Singapore,
2000.
[14] A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional
Differenatial Equations. North-Holland Mathematics Studies, 204. Elsevier
Science B.V., Amsterdam, 2006.
[15] V. Lakshmikantham, S. Leela and J. Vasundhara, Theory of Fractional Dynamic
Systems, Cambridge Academic Publishers, Cambridge, 2009.
[16] F. Mainardi, Fractional Calculus and Waves in Linear Viscoelasticity. An Introduction
to Mathematical Models. Imperial College Press, London, 2010.
[17] K.S. Miller, B. Ross, An Introduction to the Fractional Calculus and Differential
Equations, John Wiley, New York, 1993.
[18] M.D. Otigueira, Fractional Calculus for Scientists and Engineers. Lecture Notes
in Electrical Engineering, 84. Springer, Dordrecht, 2011.
[19] I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.
[20] S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives.
Theory and Applications, Gordon and Breach, Yverdon, 1993.
[21] I. Stakgold, Green’s Functions and Boundary Value Problems, Wiley Interscience,
New York, 1979.
[22] V.E. Tarasov, Fractional Dynamics: Application of Fractional Calculus to Dynamics
of Particles, Fields and Media, Springer, Heidelberg; Higher Education
Press, Beijing, 2010.
[23] S. Zhang, Positive solutions for boundary-value problems of nonlinear fractional
differential equations, Electron. J. Differential Equations, 26 (2006). 1-12.
[24] Y. Zhou, Basic Theory of Fractional Differential Equations, World Scientific,
Singapore 2014.