@Article{Agarwal2010, author=" R. P. Agarwal, D. O’Regan, S. Staněk", title="Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations", journal="J. Math. Anal. Appl.", year="2010", pages=" 57–68. ", volume="371" } @Article{Agarwal2010, author=" R. P. Agarwal, Y. Zhou, Y.-Y. He", title="Existence of fractional neutral functional differential equations", journal="Comput. Math. Appl.", year="2010", pages=" 1095–1100. ", volume="59" } @Article{Bai2010, author="C.-Z. Bai", title="Existence of positive solutions for boundary value problems of fractional functional differential equations ", journal="Electron. J. Qual. Theory Differ. Equ.", year="2010", pages="14 pages.", volume="2010" } @Article{Benchohra2008, author=" M. Benchohra, J. Henderson, S. K. Ntouyas, A. Ouahab", title="Existence results for fractional order functional differential equations with infinite delay", journal="J. Math. Anal. Appl.", year="2008", pages=" 1340–1350. ", volume="338" } @Article{Bergounioux2016, author="M. Bergounioux, A. Leaci, G. Nardi, F. Tomarelli", title=" Fractional Sobolev spaces and functions of bounded variation", journal="ArXiv", year="2016", pages="19 pages. ", volume="2016" } @Article{Bonanno2009, author=" G. Bonanno, G. Riccobono", title=" Multiplicity results for Sturm-Liouville boundary value problems", journal="Appl. Math. Comput.", year="2009", pages=" 294–297. ", volume="210" } @Article{Bonanno2014, author=" G. Bonanno, R. Rodríguez-López, S. Tersian", title="Existence of solutions to boundary value problem for impulsive fractional differential equations", journal="Fract. Calc. Appl. Anal.", year="2014", pages="717–744.", volume="17" } @Article{Bonheure2007, author=" D. Bonheure, P. Habets, F. Obersnel, P. Omari", title="Classical and non-classical solutions of a prescribed curvature equation", journal="J. Differential Equations", year="2007", pages="208–237. ", volume="243" } @Article{Cerami1978, author="G. Cerami", title="An existence criterion for the critical points on unbounded manifolds", journal="(Italian) Istit. Lombardo Accad. Sci. Lett. Rend. A", year="1978", pages="332–336. ", volume="112" } @Article{Chen2016, author="T.-Y. Chen, W.-B. Liu", title="Solvability of fractional boundary value problem with p-Laplacian via critical point theory", journal=" Bound. Value Probl.", year="2016", pages=" 12 pages. ", volume="2016" } @Article{Du2009, author="B. Du, X.-P. Hu, W.-G. Ge", title="Positive solutions to a type of multi-point boundary value problem with delay and onedimensional p-Laplacian", journal=" Appl. Math. Comput.", year="2009", pages=" 501–510. ", volume="208" } @Book{Ekeland1990, author=" I. Ekeland", title="Convexity methods in Hamiltonian mechanics", year="1990", publisher="Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas], Springer-Verlag", address="Berlin" } @Article{Fečkan2012, author="M. Fečkan, Y. Zhou, J.-R. Wang", title=" On the concept and existence of solution for impulsive fractional differential equations", journal=" Commun. Nonlinear Sci. Numer. Simul.", year="2012", pages=" 3050–3060. ", volume="17" } @Book{Guo1988, author=" D. J. Guo, V. Lakshmikantham", title="Nonlinear problems in abstract cones", year="1988", publisher="Notes and Reports in Mathematics in Science and Engineering, Academic Press, Inc.", address="Boston, MA" } @Article{Idczak2013, author="D. Idczak, S. Walczak", title="Fractional Sobolev spaces via Riemann-Liouville derivatives", journal="J. Funct. Spaces Appl.", year="2013", pages=" 15 pages. ", volume="2013" } @Article{Jiang2011, author=" W.-H. Jiang", title=" The existence of solutions to boundary value problems of fractional differential equations at resonance", journal="Nonlinear Anal.", year="2011", pages="1987–1994. ", volume="74" } @Article{Jiao2011, author="F. Jiao, Y. Zhou", title="Existence of solutions for a class of fractional boundary value problems via critical point theory", journal=" Comput. Math. Appl.", year="2011", pages="1181–1199. ", volume="62" } @Article{Jiao2012, author="F. Jiao, Y. Zhou", title="Existence results for fractional boundary value problem via critical point theory", journal="Internat. J. Bifur. Chaos Appl. Sci. Engrg.", year="2012", pages="17 pages. ", volume="22" } @Article{Jin2016, author="H. Jin, W.-B. Liu", title="Eigenvalue problem for fractional differential operator containing left and right fractional derivatives", journal="Adv. Difference Equ.", year="2016", pages="12 pages. ", volume="2016" } @Book{Kilbas2006, author="A. A. Kilbas, H. M. Srivastava, J. J. Trujillo", title="Theory and applications of fractional differential equations", year="2006", publisher="North-Holland Mathematics Studies, Elsevier Science B.V.", address="Amsterdam" } @Article{Kosmatov2010, author="N. Kosmatov", title="A boundary value problem of fractional order at resonance", journal="Electron. J. Differential Equations", year="2010", pages="10 pages.", volume="2010" } @Article{Lakshmikantham2008, author="V. Lakshmikantham", title="Theory of fractional functional differential equations", journal="Nonlinear Anal.", year="2008", pages=" 3337–3343. ", volume="69" } @Article{Lan2013, author="K. Q. Lan, W. Lin", title="Positive solutions of systems of Caputo fractional differential equations", journal="Commun. Appl. Anal.", year="2013", pages="61–85. ", volume="17" } @Article{Leszczynski2011, author="J. Leszczynski, T. Blaszczyk", title=" Modeling the transition between stable and unstable operation while emptying a silo", journal=" Granul. Matter", year="2011", pages="429–438. ", volume="13" } @Article{Liu2003, author=" Y.-J. Liu, W.-G. Ge", title="Multiple positive solutions to a three-point boundary value problem with p-Laplacian", journal=" J. Math. Anal. Appl.", year="2003", pages=" 293–302. ", volume="277" } @Article{Mainardi1995, author="F. Mainardi", title="Fractional diffusive waves in viscoelastic solids", journal="J. L. Wegner, F. R. Norwood (Eds.), IUTAM Symposium– Nonlinear Waves in Solids, ASME/AMR, Fairfield, NJ", year="1995", pages="93–97. ", volume="" } @Article{Mawhin2000, author="J. Mawhin", title="Some boundary value problems for Hartman-type perturbations of the ordinary vector p-Laplacian", journal="Lakshmikantham’s legacy: a tribute on his 75th birthday, Nonlinear Anal.", year="2000", pages=" 497–503.", volume="40" } @Book{Mawhin1989, author="J. Mawhin, M. Willem", title=" Critical point theory and Hamiltonian systems", year="1989", publisher="Applied Mathematical Sciences, Springer- Verlag", address="New York" } @Article{Morgado2013, author="M. L. Morgado, N. J. Ford, P. M. Lima", title="Analysis and numerical methods for fractional differential equations with delay", journal="J. Comput. Appl. Math.", year="2013", pages=" 159–168. ", volume="252" } @Book{Podlubny1999, author=" I. Podlubny", title=" Fractional differential equations", year="1999", publisher="An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications, Mathematics in Science and Engineering, Academic Press, Inc.", address="San Diego, CA" } @Book{Rabinowitz1986, author="P. H. Rabinowitz", title=" Minimax methods in critical point theory with applications to differential equations", year="1986", publisher="CBMS Regional Conference Series in Mathematics, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society", address="Providence, RI" } @Book{Samko1993, author="S. G. Samko, A. A. Kilbas, O. I. Marichev", title=" Fractional integrals and derivatives", year="1993", publisher="Theory and applications, Edited and with a foreword by S. M. Nikolski˘ı, Translated from the 1987 Russian original, Revised by the authors, Gordon and Breach Science Publishers", address="Yverdon" } @Article{Shen2016, author="T.-F. Shen,W.-B. Liu, X.-H. Shen", title="Existence and uniqueness of solutions for several BVPs of fractional differential equations with p-Laplacian operator", journal="Mediterr. J. Math.", year="2016", pages=" 4623–4637. ", volume="13" } @Article{Simon1981, author="J. Simon", title="Régularité de la solution d’un probléme aux limites non linéaires", journal="(French) [[Regularity of the solution of a nonlinear boundary problem]] Ann. Fac. Sci. Toulouse Math.", year="1981", pages="247–274. ", volume="3" } @Book{Szymanek2013, author="E. Szymanek", title="The application of fractional order differential calculus for the description of temperature profiles in a granular layer", year="2013", publisher="Adv. Theory Appl. Non-integer Order Syst., Springer Inter. Publ.", address="Switzerland" } @Article{Tang2009, author="X. H. Tang, L. Xiao", title=" Homoclinic solutions for ordinary p-Laplacian systems with a coercive potential", journal="Nonlinear Anal.", year="2009", pages=" 1124–1132. ", volume="71" } @Article{Tian2008, author="Y. Tian, W.-G. Ge", title="Second-order Sturm-Liouville boundary value problem involving the one-dimensional p-Laplacian", journal="Rocky Mountain J. Math.", year="2008", pages=" 309–327. ", volume="38" } @Article{Torres2014, author="C. Torres", title=" Mountain pass solution for a fractional boundary value problem", journal=" J. Fract. Calc. Appl.", year="2014", pages="1–10. ", volume="5" } @Article{Zhou2009, author="Y. Zhou, F. Jiao, J. Li", title=" Existence and uniqueness for fractional neutral differential equations with infinite delay", journal="Nonlinear Anal.", year="2009", pages="3249–3256.", volume="71" }