1.

B. Ahmad, A. Alsaedi, B. Alghamdi, Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions, Nonlinear Anal. Real World Appl. 9 (2008), 1727-1740.  MR2422576 10.1016/j.nonrwa.2007.05.005 B. Ahmad, A. Alsaedi, B. Alghamdi, Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions, Nonlinear Anal. Real World Appl. 9 (2008), 1727-1740.  MR2422576 10.1016/j.nonrwa.2007.05.005

2.

A. Boucherif, Second-order boundary value problems with integral boundary conditions, Nonlinear Anal. 70 (2009), 364-371.  MR2468243 A. Boucherif, Second-order boundary value problems with integral boundary conditions, Nonlinear Anal. 70 (2009), 364-371.  MR2468243

3.

S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach, Yverdon, 1993.  MR1347689 S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach, Yverdon, 1993.  MR1347689

4.

I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.  MR1658022 I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.  MR1658022

5.

A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, 204. Elsevier Science B.V., Amsterdam, 2006.  MR2218073 1092.45003 A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, 204. Elsevier Science B.V., Amsterdam, 2006.  MR2218073 1092.45003

6.

J. Sabatier, O.P. Agrawal, J.A.T. Machado (Eds.), Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, Springer, Dordrecht, 2007.  MR2432163 J. Sabatier, O.P. Agrawal, J.A.T. Machado (Eds.), Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, Springer, Dordrecht, 2007.  MR2432163

7.

V. Lakshmikantham, S. Leela, J. Vasundhara Devi, Theory of Fractional Dynamic Systems, Cambridge Academic Publishers, Cambridge, 2009. V. Lakshmikantham, S. Leela, J. Vasundhara Devi, Theory of Fractional Dynamic Systems, Cambridge Academic Publishers, Cambridge, 2009.

8.

D. Baleanu, K. Diethelm, E. Scalas, J.J.Trujillo, Fractional calculus models and numerical methods. Series on Complexity, Nonlinearity and Chaos, World Scientific, Boston, 2012.  MR2894576 D. Baleanu, K. Diethelm, E. Scalas, J.J.Trujillo, Fractional calculus models and numerical methods. Series on Complexity, Nonlinearity and Chaos, World Scientific, Boston, 2012.  MR2894576

9.

M. Benchohra, S. Hamani, Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative, Topol. Methods Nonlinear Anal. 32(2008), 115-130.  MR2466806 1180.26002 M. Benchohra, S. Hamani, Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative, Topol. Methods Nonlinear Anal. 32(2008), 115-130.  MR2466806 1180.26002

10.

Y.-K. Chang, J.J. Nieto, Some new existence results for fractional differential inclusions with boundary conditions, Math. Comput. Model. 49 (2009), 605-609.  MR2483665 1165.34313 10.1016/j.mcm.2008.03.014 Y.-K. Chang, J.J. Nieto, Some new existence results for fractional differential inclusions with boundary conditions, Math. Comput. Model. 49 (2009), 605-609.  MR2483665 1165.34313 10.1016/j.mcm.2008.03.014

11.

J. Henderson, A. Ouahab, Fractional functional differential inclusions with finite delay, Nonlinear Anal. 70 (2009), 2091-2105.  MR2492146 J. Henderson, A. Ouahab, Fractional functional differential inclusions with finite delay, Nonlinear Anal. 70 (2009), 2091-2105.  MR2492146

12.

B. Ahmad, J.J. Nieto, Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions, Bound. Value Probl. 2009, Art. ID 708576, 11 pp.  MR2525567 1167.45003 B. Ahmad, J.J. Nieto, Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions, Bound. Value Probl. 2009, Art. ID 708576, 11 pp.  MR2525567 1167.45003

13.

B. Ahmad, J.J. Nieto, Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions, Comput. Math. Appl. 58 (2009), 1838-1843.  MR2557562 B. Ahmad, J.J. Nieto, Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions, Comput. Math. Appl. 58 (2009), 1838-1843.  MR2557562

14.

B. Ahmad, J.J. Nieto, Existence of solutions for nonlocal boundary value problems of higher order nonlinear fractional differential equations, Abstr. Appl. Anal. 2009, Art. ID 494720, 9 pp. 1838-1843.  MR2516016 1186.34009 B. Ahmad, J.J. Nieto, Existence of solutions for nonlocal boundary value problems of higher order nonlinear fractional differential equations, Abstr. Appl. Anal. 2009, Art. ID 494720, 9 pp. 1838-1843.  MR2516016 1186.34009

15.

B. Ahmad, V. Otero-Espinar, Existence of solutions for fractional differential inclusions with anti-periodic boundary conditions, Bound. Value Probl. 2009, Art. ID 625347, 11 pp.  MR2525570 1172.34004 B. Ahmad, V. Otero-Espinar, Existence of solutions for fractional differential inclusions with anti-periodic boundary conditions, Bound. Value Probl. 2009, Art. ID 625347, 11 pp.  MR2525570 1172.34004

16.

R.P Agarwal, M. Benchohra, S. Hamani, A survey on existence result for boundary value problems of nonlinear fractional differential equations and inclusions, Acta Appl. Math. 109 (2010), 973-1033.  MR2596185 10.1007/s10440-008-9356-6 R.P Agarwal, M. Benchohra, S. Hamani, A survey on existence result for boundary value problems of nonlinear fractional differential equations and inclusions, Acta Appl. Math. 109 (2010), 973-1033.  MR2596185 10.1007/s10440-008-9356-6

17.

B. Ahmad, Existence results for multi-point nonlinear boundary value problems of fractional differential equations, Mem. Differential Equations Math. Phys. 49 (2010), 83-94.  MR2648171 B. Ahmad, Existence results for multi-point nonlinear boundary value problems of fractional differential equations, Mem. Differential Equations Math. Phys. 49 (2010), 83-94.  MR2648171

18.

B. Ahmad, S.K. Ntouyas, Some existence results for boundary value problems for fractional differential inclusions with non-separated boundary conditions, Electron. J. Qual. Theory Differ. Equ. 2010, No. 71, 1-17.  MR2740676 1206.26005 B. Ahmad, S.K. Ntouyas, Some existence results for boundary value problems for fractional differential inclusions with non-separated boundary conditions, Electron. J. Qual. Theory Differ. Equ. 2010, No. 71, 1-17.  MR2740676 1206.26005

19.

Z.B. Bai, On positive solutions of a nonlocal fractional boundary value problem, Nonlinear Anal. 72 (2010), 916-924.  MR2579357 Z.B. Bai, On positive solutions of a nonlocal fractional boundary value problem, Nonlinear Anal. 72 (2010), 916-924.  MR2579357

20.

K. Balachandran, J.J. Trujillo, The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces, Nonlinear Anal. 72 (2010) 4587-4593.  MR2639206 K. Balachandran, J.J. Trujillo, The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces, Nonlinear Anal. 72 (2010) 4587-4593.  MR2639206

21.

S. Zhang, Positive solutions to singular boundary value problem for nonlinear fractional differential equation, Comput. Math. Appl. 59 (2010), 1300-1309.  MR2579492 S. Zhang, Positive solutions to singular boundary value problem for nonlinear fractional differential equation, Comput. Math. Appl. 59 (2010), 1300-1309.  MR2579492

22.

B. Ahmad, S. Sivasundaram, On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order, Appl. Math. Comput. 217 (2010), 480-487.  MR2678559 1207.45014 10.1016/j.amc.2010.05.080 B. Ahmad, S. Sivasundaram, On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order, Appl. Math. Comput. 217 (2010), 480-487.  MR2678559 1207.45014 10.1016/j.amc.2010.05.080

23.

B. Ahmad, Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations, Appl. Math. Lett. 23 (2010), 390-394.  MR2594849 10.1016/j.aml.2009.11.004 B. Ahmad, Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations, Appl. Math. Lett. 23 (2010), 390-394.  MR2594849 10.1016/j.aml.2009.11.004

24.

D. Baleanu, O.G. Mustafa, R.P. Agarwal, An existence result for a superlinear fractional differential equation, Appl. Math. Lett. 23 (2010), 1129-1132.  MR2659151 10.1016/j.aml.2010.04.049 D. Baleanu, O.G. Mustafa, R.P. Agarwal, An existence result for a superlinear fractional differential equation, Appl. Math. Lett. 23 (2010), 1129-1132.  MR2659151 10.1016/j.aml.2010.04.049

25.

D. Baleanu, O.G. Mustafa, On the global existence of solutions to a class of fractional differential equations, Comp. Math. Appl. 59 (2010), 1835-1841.  MR2595957 D. Baleanu, O.G. Mustafa, On the global existence of solutions to a class of fractional differential equations, Comp. Math. Appl. 59 (2010), 1835-1841.  MR2595957

26.

R.P. Agarwal, B. Ahmad, Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions, Comput. Math. Appl. 62 (2011), 1200-1214.  MR2824708 R.P. Agarwal, B. Ahmad, Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions, Comput. Math. Appl. 62 (2011), 1200-1214.  MR2824708

27.

B. Ahmad, S.K. Ntouyas, Existence results for nonlinear fractional differential equations with four-point nonlocal type integral boundary conditions, Afr. Diaspora J. Math.,11 (2011), 29-39.  MR2792208 1241.26004 euclid.adjm/1303391943 B. Ahmad, S.K. Ntouyas, Existence results for nonlinear fractional differential equations with four-point nonlocal type integral boundary conditions, Afr. Diaspora J. Math.,11 (2011), 29-39.  MR2792208 1241.26004 euclid.adjm/1303391943

28.

D. Baleanu, O.G. Mustafa, D. O'Regan, A Nagumo-like uniqueness theorem for fractional differential equations, J. Phys. A, Math. Theor. 44, No. 39, Article ID 392003, 6 p. (2011).  MR2842480 1229.26013 D. Baleanu, O.G. Mustafa, D. O'Regan, A Nagumo-like uniqueness theorem for fractional differential equations, J. Phys. A, Math. Theor. 44, No. 39, Article ID 392003, 6 p. (2011).  MR2842480 1229.26013

29.

B. Ahmad, J.J. Nieto, Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions, Bound. Value Probl. 2011, 2011:36, 9 pages.  MR2851530 B. Ahmad, J.J. Nieto, Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions, Bound. Value Probl. 2011, 2011:36, 9 pages.  MR2851530

30.

B. Ahmad, J.J. Nieto, A. Alsaedi, M. El-Shahed, A study of nonlinear Langevin equation involving two fractional orders in different intervals, Nonlinear Anal. Real World Appl. 13 (2012), 599-606.  MR2846866 10.1016/j.nonrwa.2011.07.052 B. Ahmad, J.J. Nieto, A. Alsaedi, M. El-Shahed, A study of nonlinear Langevin equation involving two fractional orders in different intervals, Nonlinear Anal. Real World Appl. 13 (2012), 599-606.  MR2846866 10.1016/j.nonrwa.2011.07.052

31.

B. Ahmad, S.K. Ntouyas, Multi-point nonlocal boundary value problems of fractional differential inclusions with non-convex valued maps, PanAmer. Math. J., 22 (2012), No.2, 41-53.  MR2934272 06082822 B. Ahmad, S.K. Ntouyas, Multi-point nonlocal boundary value problems of fractional differential inclusions with non-convex valued maps, PanAmer. Math. J., 22 (2012), No.2, 41-53.  MR2934272 06082822

32.

B. Ahmad, S. Sivasundaram, Nonlocal four-point integral boundary value problem of nonlinear fractional differential equations and existence results, Commun. Appl. Anal. 16 (2012), no. 1, 11-22.  MR2933186 B. Ahmad, S. Sivasundaram, Nonlocal four-point integral boundary value problem of nonlinear fractional differential equations and existence results, Commun. Appl. Anal. 16 (2012), no. 1, 11-22.  MR2933186

33.

J. P. Aubin, A. Cellina, Differential Inclusions, Springer-Verlag, Berlin-Heidelberg, New York, 1984.  MR755330 J. P. Aubin, A. Cellina, Differential Inclusions, Springer-Verlag, Berlin-Heidelberg, New York, 1984.  MR755330

34.

J. P. Aubin, H. Frankowska, Set-Valued Analysis, Birkhäuser, Boston, 1990.  MR1048347 J. P. Aubin, H. Frankowska, Set-Valued Analysis, Birkhäuser, Boston, 1990.  MR1048347

35.

K. Deimling, Multivalued Differential Equations, Walter De Gruyter, Berlin-New York, 1992.  MR1189795 K. Deimling, Multivalued Differential Equations, Walter De Gruyter, Berlin-New York, 1992.  MR1189795

36.

S. Hu, N. Papageorgiou, Handbook of Multivalued Analysis, Volume I:Theory, Kluwer, Dordrecht, 1997.  MR1485775 S. Hu, N. Papageorgiou, Handbook of Multivalued Analysis, Volume I:Theory, Kluwer, Dordrecht, 1997.  MR1485775

37.

G.V. Smirnov, Introduction to the theory of differential inclusions, American Mathematical Society, Providence, RI, 2002.  MR1867542 0992.34001 G.V. Smirnov, Introduction to the theory of differential inclusions, American Mathematical Society, Providence, RI, 2002.  MR1867542 0992.34001

38.

M. Kisielewicz, Differential Inclusions and Optimal Control, Kluwer, Dordrecht, The Netherlands, 1991.  MR1135796 0731.49001 M. Kisielewicz, Differential Inclusions and Optimal Control, Kluwer, Dordrecht, The Netherlands, 1991.  MR1135796 0731.49001

39.

T. A. Lazar, A. Petrusel, N. Shahzad, Fixed points for non-self operators and domain invariance theorems, Nonlinear Anal. 70 (2009), 117-125.  MR2468222 T. A. Lazar, A. Petrusel, N. Shahzad, Fixed points for non-self operators and domain invariance theorems, Nonlinear Anal. 70 (2009), 117-125.  MR2468222

40.

A. Bressan, G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 69-86.  MR947921 A. Bressan, G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 69-86.  MR947921

41.

R. Wegrzyk, Fixed point theorems for multifunctions and their applications to functional equations, Dissertationes Math. (Rozprawy Mat.) 201 (1982), 28p.  MR687277 R. Wegrzyk, Fixed point theorems for multifunctions and their applications to functional equations, Dissertationes Math. (Rozprawy Mat.) 201 (1982), 28p.  MR687277

42.

H. Covitz, S.B. Nadler Jr., Multivalued contraction mappings in generalized metric spaces, Israel J. Math. 8 (1970), 5-11.  MR263062 0192.59802 10.1007/BF02771543 H. Covitz, S.B. Nadler Jr., Multivalued contraction mappings in generalized metric spaces, Israel J. Math. 8 (1970), 5-11.  MR263062 0192.59802 10.1007/BF02771543

43.

A. Granas, J. Dugundji, Fixed Point Theory, Springer-Verlag, New York, 2005.  MR1987179 A. Granas, J. Dugundji, Fixed Point Theory, Springer-Verlag, New York, 2005.  MR1987179

44.

C. Castaing, M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics 580, Springer-Verlag, Berlin-Heidelberg-New York, 1977.  MR467310 0346.46038 C. Castaing, M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics 580, Springer-Verlag, Berlin-Heidelberg-New York, 1977.  MR467310 0346.46038