[1] Agarwal R.P., Zhou Y., He Y., Existence of fractional neutral functional differential equations, Comput. Math. Appl., 2010, 59,
1095-1100.
Google Scholar

[2] Ahmad B., Nieto J.J., Boundary value problems for a class of sequential integrodifferential equations of fractional order, J. Funct.
Spaces Appl., 2013, Art. ID 149659, 8 pp.
Web of ScienceGoogle Scholar

[3] Ahmad B., Nieto J.J., Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary
conditions, Bound. Value Probl., 2011, 2011:36.
Google Scholar

[4] Ahmad B., Ntouyas S.K., Alsaedi A., New existence results for nonlinear fractional differential equations with three-point integral
boundary conditions, Adv. Difference Equ., 2011, Art. ID 107384, 11 pp.
Google Scholar

[5] Ahmad B., Ntouyas S.K., Alsaedi A., A study of nonlinear fractional differential equations of arbitrary order with Riemann-Liouville
type multistrip boundary conditions, , Math. Probl. Eng., 2013, Art. ID 320415, 9 pp.
Google Scholar

[6] Ahmad B., Ntouyas S.K., A fully Hadamard-type integral boundary value problem of a coupled system of fractional differential
equations, Fract. Calc. Appl. Anal., 2014, 17 , 348–360.
CrossrefGoogle Scholar

[7] Ahmad B., Ntouyas S.K., Fractional differential inclusions with fractional separated boundary conditions, Fract. Calc. Appl. Anal.,
2012, 15, 362-382.
CrossrefGoogle Scholar

[8] Ahmad B., Ntouyas S.K., Nonlocal fractional boundary value problems with slit-strips integral boundary conditions, Fract. Calc.
Appl. Anal., 2015, 18, 261-280.
CrossrefGoogle Scholar

[9] Baleanu D., Diethelm K., Scalas E., Trujillo J.J., Fractional Calculus Models and Numerical Methods, Series on Complexity,
Nonlinearity and Chaos, World Scientific, Boston, 2012.
Google Scholar

[10] Baleanu D., Mustafa O.G., Agarwal R.P., On Lp-solutions for a class of sequential fractional differential equations, Appl. Math.
Comput., 2011, 218, 2074-2081.
Google Scholar

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

[12] Liu X., Jia M., Ge W., Multiple solutions of a p-Laplacian model involving a fractional derivative, Adv. Difference Equ.,2013,
2013:126.
Google Scholar

[13] O’Regan D., Stanek S., Fractional boundary value problems with singularities in space variables, Nonlinear Dynam., 2013, 71,
641-652.
Web of ScienceGoogle Scholar

[14] Podlubny I., Fractional Differential Equations, Academic Press, San Diego, 1999.
Google Scholar

[15] Tariboon J., Ntouyas S.K., A. Singubol, Boundary value problems for fractional differential equations with fractional multi-term
integral conditions, J. App. Math., 2014, Article ID 806156, 10 pp.
Google Scholar

[16] Thiramanus P., Ntouyas S.K., Tariboon J., Existence and uniqueness results for Hadamard-type fractional differential equations
with nonlocal fractional integral boundary conditions, Abstr. Appl. Anal., 2014, Article ID 902054, 9 pp.
Google Scholar

[17] Zhang L., Ahmad B., Wang G., Agarwal R.P., Nonlinear fractional integro-differential equations on unbounded domains in a
Banach space, J. Comput. Appl. Math., 2013, 249, 51–56.
Google Scholar

[18] Erdélyi A., Kober H., Some remarks on Hankel transforms, Quart. J. Math., Oxford, Second Ser. 1940, 11, 212-221.
CrossrefGoogle Scholar

[19] Kalla S.L., Kiryakova V.S., An H-function generalized fractional calculus based upon compositions of Erdélyi-Kober operators in
Lp; Math. Japonica, 1990, 35, 1-21.
Google Scholar

[20] Kiryakova V., Generalized Fractional Calculus and Applications, Pitman Research Notes in Math. 301, Longman, Harlow - J.
Wiley, N. York, 1994.
Google Scholar

[21] Kober H., On fractional integrals and derivatives, Quart. J. Math. Oxford, 1940, Ser. ll, 193-211.
CrossrefGoogle Scholar

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

[23] Sneddon I.N., The use in mathematical analysis of Erdélyi-Kober operators and some of their applications. In: Fractional Calculus
and Its Applications, Proc. Internat. Conf. Held in New Haven, Lecture Notes in Math., 1975, 457, Springer, N. York, 37-79.
Google Scholar

[24] Yakubovich S.B., Luchko Yu.F., The Hypergeometric Approach to Integral Transforms and Convolutions, Mathematics and its Appl.
287, Kluwer Acad. Publ., Dordrecht-Boston-London, 1994.
Google Scholar

[25] Klimek M., On Solutions of Linear Fractional Differential Equations of a Variational Type, The Publ. Office of Czestochowa
University of Technology, 2009.
Google Scholar

[26] Malinowska A., Torres D., Introduction to the Fractional Calculus of Variations, Imperial College Press, London, 2012.
Google Scholar

[27] Kaczorek T., Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin, Heidelberg, 2011.
Google Scholar

[28] Hristov J., A unified nonlinear fractional equation of the diffusion-controlled surfactant adsorption: Reappraisal and new solution of
the Ward–Tordai problem, Journal of King Saud University – Science, 2015, DOI.org/10.1016/j.jksus.2015.03.008.
CrossrefGoogle Scholar

[29] Yang X.J., Baleanu D., Srivastava H.M., Local fractional similarity solution for the diffusion equation defined on Cantor sets, Appl.
Math. Lett.,2015, 47, 54-60.
Google Scholar

[30] Yan S.P., Local fractional Laplace series expansion method for diffusion equation arising in fractal heat transfer, Thermal Science,
2015, 19, Suppl. 1, 131-135.
Google Scholar

[31] Yang X.J., Srivastava H.M., Cattani C., Local fractional homotopy perturbation method for solving fractal partial differential
equations arising in mathematical physics, Romanian Reports in Physics, 2015, 67, 752-761.
Google Scholar

[32] Ahmad B., Nieto J.J., Existence results for a coupled system of nonlinear fractional differential equations with three-point
boundary conditions, Comput. Math. Appl., 2009, 58, 1838-1843.
Google Scholar

[33] Faieghi M., Kuntanapreeda S., Delavari H., Baleanu D., LMI-based stabilization of a class of fractional-order chaotic systems,
Nonlinear Dynam., 2013, 72, 301-309.
Google Scholar

[34] Ntouyas S.K., Obaid M., A coupled system of fractional differential equations with nonlocal integral boundary conditions, Adv.
Differ. Equ, 2012, 2012:130.
CrossrefGoogle Scholar

[35] Senol B., Yeroglu C., Frequency boundary of fractional order systems with nonlinear uncertainties, J. Franklin Inst. 2013, 350,
1908-1925.
Web of ScienceGoogle Scholar

[36] Su X., Boundary value problem for a coupled system of nonlinear fractional differential equations, Appl. Math. Lett., 2009, 22,
64-69.
Google Scholar

[37] Sun J., Liu Y., Liu G., Existence of solutions for fractional differential systems with antiperiodic boundary conditions, Comput.
Math. Appl., 2012, 64, 1557-1566.
Web of ScienceGoogle Scholar

[38] Wang J., Xiang H., Liu Z., Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional
differential equations, Int. J. Differ. Equ., 2010, Article ID 186928, 12 pp.
Google Scholar

[39] Granas A., Dugundji J., Fixed Point Theory, Springer-Verlag, New York, 2003.
Google Scholar

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