[1] Adjabi, Y., Jarad, F., Baleanu, D., Abdeljawad, T.: 
On Cauchy problems with Caputo Hadamard fractional derivatives. J. Comput. Anal. Appl. 21 (4) (2016), 661–681. 
MR 3495061 
[2] Agarwal, R.P., Benchohra, M., Seba, D.: 
On the application of measure of noncom-pactness to the existence of solutions for fractional differential equations. Results Math. 55 (2009), 221–230. 
DOI 10.1007/s00025-009-0434-5 | 
MR 2571191 
[3] Ahmad, B., Khan, R.A., Sivasundaram, S.: 
Generalized quasilinearization method for a first order differential equation with integral boundary condition. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 12 (2) (2005), 289–296. 
MR 2170414 | 
Zbl 1084.34007 
[4] Ahmad, B., Ntouyas, S.K.: 
Initial value problems for hybrid Hadamard fractional equations. Electron. J. Differential Equ. 2014 (161) (2014), 8 pp. 
MR 3239404 
[5] Akhmerov, R.R., Kamenski, M.I., Patapov, A.S., Rodkina, A.E., Sadovski, B.N.: 
Measures of noncompactness and condensing operators (Translated from the 1986 Russian original by A. Iacop), Operator theory: Advances and Applications. ranslated from the 1986 russian original by a. iacop), operator theory: advances and applications, vol. 55, Birkhäuser Verlag, Basel, 1992. 
MR 1153247 
[6] Aubin, J.P., Cellina, A.: 
Differential inclusions. Springer-Verlag, Berlin-Heidelberg, New York, 1984. 
MR 0755330 
[7] Aubin, J.P., Frankowska, H.: 
Set-valued analysis. Birkhäuser, Boston, 1990. 
MR 1048347 
[8] Banas, J., Goebel, K.: 
Measure of noncompactness in Banach spaces. Lecture Notes in Pure and Appl. Math., Marcel Dekker, New York, 1980. 
MR 0591679 
[9] Belarbi, A., Benchohra, M.: 
Existence results for nonlinear boundary-value problems with integral boundary conditions. Electron. J. Differential Equ. 6 (2005), 1–10. 
MR 2119058 
[11] Benchohra, M., Hamani, S.: 
Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative. Topol. Methods Nonlinear Anal. 32 (1) (2008), 115–130. 
MR 2466806 | 
Zbl 1180.26002 
[12] Benchohra, M., Henderson, J., Seba, D.: 
Measure of noncompactness and fractional differential equations in Banach spaces. Commun. Appl. Anal. 12 (2008), 419–428. 
MR 2494987 
[13] Benchohra, M., Henderson, J., Seba, D.: 
Measure of noncompactness and fractional andhyperbolic partial fractional differential equations in Banach space. PanAmer. Math. J. 20 (2010), 27–37. 
MR 2760586 
[14] Benchohra, M., Henderson, J., Seba, D.: 
Boundary value problems for fractional differential inclusions in Banach space. Fract. Differ. Calc. 2 (2012), 99–108. 
MR 3003005 
[15] Benhamida, W., Hamani, S.: Measure of noncompactness and Caputo-Hadamard fractional differantial equations in Banach spaces. Eur. Bull. Math. 1 (3) (2018), 98–103.
[16] Benhamida, W., Hamani, S., Henderson, J.: 
Boundary value problems for Caputo-Hadamard fractional differential equations. Adv. Theor. Nonlinear Anal. Appl. 2 (3) (2018), 138–145. 
MR 3957191 
[18] Butzer, P.L., Kilbas, A.A., Trujillo, J.J.: 
Composition of Hadamard-type fractional integration operators and the semigroup property. J. Math. Anal. Appl. 269 (2002), 387–400. 
DOI 10.1016/S0022-247X(02)00049-5 | 
MR 1907120 
[21] Deimling, .K.: 
Multivalued differential equations. Walter De Gruyter, Berlin-New York, 1992. 
MR 1189795 
[22] Denche, M., Marhoune, A.L.: 
High order mixed-type differential equations with weighted integral boundary conditions. Electron. J. Differential Equ. 2000 (60) (2000), 1–10. 
MR 1787207 
[23] Diethelm, K., Freed, A.D.: 
On the solution of nonlinear fractional order differential equations used in the modeling of viscoplasticity. Scientifice Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction Engineering and Molecular Properties (Keil, F., Mackens, W., Voss, H., Werther, J., eds.), Springer-Verlag, Heidelberg, 1999, pp. 217–224. 
MR 1415870 
[24] Gallardo, J.M.: 
Second order differential operators with integral boundary conditions and generation of semigroups. Rocky Mountain J. Math. 30 (2000), 1265–1292. 
MR 1810167 
[25] Gambo, Y.Y., Jarad, F., Baleanu, D., Abdeljawad, T.: 
On Caputo modification of the Hadamard fractional derivatives. Adv. Difference Equ. 2014 (10) (2014), 12 pp. 
MR 3213915 
[26] Gaul, L., Klein, P., Kempfle, S.: 
Damping description involving fractional operators. Mech. Systems Signal Processing 5 (1991), 81–88. 
DOI 10.1016/0888-3270(91)90016-X 
[27] Glockle, W.G., Nonnenmacher, T.F.: 
A fractional calculus approach of self-similar protein dynamics. Biophys. J. 68 (1995), 46–53. 
DOI 10.1016/S0006-3495(95)80157-8 
[28] Hadamard, J.: Essai sur l’étude des fonctions donnees par leur development de Taylor. J. Math. Pure Appl. 8 (1892), 101–186.
[29] Hilfer, R.: 
Applications of fractional calculus in physics. World Scientific, Singapore, 2000. 
MR 1890104 | 
Zbl 0998.26002 
[30] Jarad, F., Abdeljawad, T., Baleanu, D.: 
Caputo-type modification of the Hadamard fractional derivatives. Adv. Difference Equ. 2012 (142) (2012), 8 pp. 
MR 2992066 
[31] Karakostas, G.L., Tsamatos, P.Ch.: 
Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary value problems. Electron. J. Differential Equ. 2002 (30) (2002), 1–17. 
MR 1907706 
[33] Kilbas, A.A.: 
Hadamard-type fractional calculus. J. Korean Math. Soc. 38 (6) (2001), 1191–1204. 
MR 1858760 
[34] Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: 
Theory and applications of fractional differential equations. North-Holland Math. Studies, Elsevier Science B.V., Amsterdam, 2006. 
MR 2218073 
[37] Lomtatidze, A., Malaguti, L.: 
On a nonlocal boundary value problems for second order nonlinear singular differential equations. Georgian Math. J. 7 (2000), 133–154. 
DOI 10.1515/GMJ.2000.133 | 
MR 1768050 
[38] Mainardi, F.: 
Fractional calculus: Some basic problems in continuum and statistical mechanics. Fractals and Fractional Calculus in Continuum Mechanics (Carpinteri, A., Mainardi, F., eds.), Springer-Verlag, Wien, 1997, pp. 291–348. 
MR 1611587 
[39] Metzler, F., Schick, W., Kilian, H.G., Nonnenmacher, T.F.: 
Relaxation in filled polymers: A fractional calculus approach. J. Chem. Phys. 103 (1995), 7180–7186. 
DOI 10.1063/1.470346 
[40] Miller, K.S., Ross, B.: 
An introduction to the fractional calculus and differential equations. John Wiley, New York, 1993. 
MR 1219954 
[41] Oldham, K.B., Spanier, J.: 
The fractional calculus. Academic Press, New York, London, 1974. 
MR 0361633 
[42] O’Regan, D., Precup, R.: 
Fixed point theorems for set-valued maps and existence prin-ciples for integral inclusions. J. Math. Anal. Appl. 245 (2000), 594–612. 
DOI 10.1006/jmaa.2000.6789 | 
MR 1758558 
[43] Thiramanus, P., Ntouyas, S.K., Tariboon, J.: 
xistence and uniqueness results for Hadamard-type fractional differential equations with nonlocal fractional integral boundary conditions. Abstr. Appl. Anal. 2014 (2014), 9 pp., Art. ID 902054. 
MR 3228094