참고문헌
- T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math., 279(2015), 57-66. https://doi.org/10.1016/j.cam.2014.10.016
- M. Al Horani and R. Khalil, Total fractional differentials with applications to exact fractional differential equations, Int. J. Comput. Math., 95(6-7)(2018), 1444-1452. https://doi.org/10.1080/00207160.2018.1438602
- M. Al-Rifae and T. Abdeljawad, Fundamental results of conformable Sturm-Liouville eigenvalue problems, Complexity, (2017), Article ID 3720471, 7 pp.
- H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM. Rev., 18(4)(1976), 620-709. https://doi.org/10.1137/1018114
- D. R. Anderson and R. I. Avery, Fractional-order boundary value problem with Sturm-Liouville boundary conditions, Electron. J. Differential Equations, (2015), No. 29, 10 pp.
- D. R. Anderson and D. J. Ulness, Newly defined conformable derivatives, Adv. Dyn. Syst. Appl., 10(2015), 109-137.
- D. R. Anderson and D. J. Ulness, Properties of the Katugampola fractional derivative with potential application in quantum mechanics, J. Math. Phys., 56(6)(2015), 063502, 18 pp. https://doi.org/10.1063/1.4922018
- S. Asawasamrit, S. K. Ntouyas, P. Thiramanus and J. Tariboon, Periodic boundary value problems for impulsive conformable fractional integro-differential equations, Bound. Value Probl., (2016), Paper No. 122, 18 pp.
- A. Atangana and S. C. O. Noutchie, Model of break-bone fever via beta-derivatives, BioMed Res. Int., (2014), Article ID 523159, 10 pages.
- H. Batarfi, J. Losada, J. J. Nieto and W. Shammakh, Three-point boundary value problems for conformable fractional differential equations, J. Funct. Spaces, (2015), Art. ID 706383, 6 pp.
- B. Bayour and D. F. M. Torres, Existence of solution to a local fractional nonlinear differential equation, J. Comput. Appl. Math., 312(2017), 127-133. https://doi.org/10.1016/j.cam.2016.01.014
- M. Caputo and M. Fabrizio, A new definition of fractional derivative without singular kernel, Progr. Fract. Differ. Appl., 2(2015), 73-85.
- K. Deimling, Nonlinear functional analysis, Springer, New York, 1985.
- X. Dong, Z. Bai and W. Zhang, Positive solutions for nonlinear eigenvalue problems with conformable fractional differential derivatives, J. Shandong Univ. Sci. Tech. Nat. Sci., 35(2016) (Chin. Ed.), 85-90.
- X. Dong, Z. Bai and S. Zhang, Positive solutions to boundary value problems of p-Laplacian with fractional derivative, Bound. Value Probl., (2017), Paper No. 5, 15 pp.
- L. He, X. Dong, Z. Bai and B. Chen, Solvability of some two-point fractional boundary value problems under barrier strip conditions, J. Funct. Spaces, (2017), Art. ID 1465623, 6 pp.
- U. N. Katugampola, A new fractional derivative with classical properties, arXiv:1410.6535.
- R. Khalil, M. Al Horani, A. Yousef and M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math., 264(2014), 65-70. https://doi.org/10.1016/j.cam.2014.01.002
- K. Lan and J. R. L. Webb, Positive solutions of semilinear differential equations with singularities, J. Differ. Equ., 148(1998), 407-421. https://doi.org/10.1006/jdeq.1998.3475
- J. Losada and J. J. Nieto, Properties of a new fractional derivative without singular kernel, Progr. Fract. Differ. Appl., 1(2)(2015), 87-92.
- Q. Song, X. Dong, Z. Bai and B. Chen, Existence for fractional Dirichlet boundary value problem under barrier strip conditions, J. Nonlinear Sci. Appl., 10(2017), 3592-3598. https://doi.org/10.22436/jnsa.010.07.19
- J. Weberszpil and J. A. Helayel-Neto, Variational approach and deformed derivatives, Phys. A, 450(2016), 217-227. https://doi.org/10.1016/j.physa.2015.12.145
- S. Yang, L. Wang and S. Zhang, Conformable derivative: Application to non-Darcian flow in low-permeability porous media, Appl. Math. Lett., 79(2018), 105-110. https://doi.org/10.1016/j.aml.2017.12.006
- D. Zhao and M. Luo, General conformable fractional derivative and its physical interpretation, Calcolo, 54(2017), 903-917. https://doi.org/10.1007/s10092-017-0213-8
- W. Zhong and L. Wang, Positive solutions of conformable fractional differential equations with integral boundary conditions, Bound. Value Probl., (2018), Paper No. 136, 12 pp.
- H. W. Zhou, S. Yang and S. Q. Zhang, Conformable derivative approach to anomalous diffusion, Phys. A, 491(2018), 1001-1013. https://doi.org/10.1016/j.physa.2017.09.101