___

• Abdeljawad, T., On conformable fractional calculus. J. Comput. Appl. Math., 279 (2015), 57-66. https://doi.org/10.1016/j.cam.2014.10.016
• Agarwal, O. P., Formulation of Euler-Lagrange equations for fractional variational problems. J. Math. Anal. Appl., 272 (2002), 368-379. https://doi.org/10.1016/S0022-247X(02)00180-4
• Agarwal, O. P., Fractional variational calculus and the transversality conditions. J. Phys. A, 39 (33) (2006), 10375-10384. https://doi.org/10.1088/0305-4470/39/33/008
• Agarwal, O. P., Fractional variational calculus in terms of Riesz fractional derivatives. J. Phys. A, 40 (24) (2007), 6287-6303. https://doi.org/10.1088/1751-8113/40/24/003
• Almeida, R., Fractional variational problems with the Riesz-Caputo derivative. Appl. Math. Lett., 25 (2) (2012), 142-148. https://doi.org/10.1016/j.aml.2011.08.003
• Almeida, R., Variational problems involving a Caputo-type fractional derivative. J. Optim. Theory Appl., 174 (1) (2017), 276-294. https://doi.org/10.1007/s10957-016-0883-4
• Bastos, N. R. O., Calculus of variations involving Caputo-Fabrizio fractional differentiation. Stat., Optim. Inf. Comput., 6 (2018), 12-21. https://doi.org/10.19139/soic.v6i1.466
• Batarfi, H., Losada, J., Nieto, J. J., Shammakh, W., Three-point boundary value problems for conformable fractional differential equations. J. Funct. Spaces, 2015, Art. ID 706383, 6 pp. https://doi.org/10.1155/2015/706383
• Chatibi, Y., El Kinani, E. H., Ouhadan, A., Lie symmetry analysis of conformable differential equations. AIMS Math., 4 (4) (2019), 1133--1144. https://doi.org/10.3934/math.2019.4.1133
• Chatibi, Y., El Kinani, E. H., and Ouhadan, A., Variational calculus involving nonlocal fractional derivative with Mittag-Leffler kernel. Chaos, Solitons & Fractals, 118 (2019), 117-121. https://doi.org/10.1016/j.chaos.2018.11.017
• Chatibi, Y., El Kinani, E. H., Ouhadan, A., Lie symmetry analysis and conservation laws for the time fractional Black-Scholes equation. International Journal of Geometric Methods in Modern Physics, 17 (01) (2020), 2050010. https://doi.org/10.1142/S0219887820500103
• Chatibi, Y., El Kinani, E. H., Ouhadan, A., On the discrete symmetry analysis of some classical and fractional differential equations. Math. Methods Appl. Sci., 44 (4) (2021), 2868--2878. https://doi.org/10.1002/mma.6064
• Chung, W. S., Fractional Newton mechanics with conformable fractional derivative. J. Comput. Appl. Math., 290 (2015), 150-158. https://doi.org/10.1016/j.cam.2015.04.049
• Çenesiz, Y., Kurt, A., The solutions of time and space conformable fractional heat equations with conformable Fourier transform. Acta Univ. Sapientiae Math., 7 (2) (2015), 130--140. https://doi.org/10.1515/ausm-2015-0009
• Diethelm, K., The Analysis of Fractional Differential Equations. Springer, 2010.
• Eroğlu, B. B. I., and Yapışkan, D., Generalized conformable variational calculus and optimal control problems with variable terminal conditions. AIMS Mathematics, 5 (2020), 1105-1126. https://doi.org/10.3934/math.2020077
• Gelfand, I. M., and Fomin, S. V., Calculus of variations. Prentice-Hall, Inc., 1963.
• Kadkhoda, N., Jafari, H., An analytical approach to obtain exact solutions of some space-time conformable fractional differential equations. Adv. Difference Equ., 2019, Paper No. 428, 10 pp. https://doi.org/10.1186/s13662-019-2349-0
• Khalil, R., Al Horani, M., Yousef, A., and Sababheh, M., A new definition of fractional derivative. J. Comput. Appl. Math., 264 (2014), 65-70. https://doi.org/10.1016/j.cam.2014.01.002
• Kilbas, A. A., Srivastava, H. M., and Trujillo, J. J., Theory and Applications of Fractional Differential Equations. Elsevier Science, 2006.
• Lazo, M. J., and Torres, D. F. M., Variational calculus with conformable fractional derivatives. IEEE/CAA Journal of Automatica Sinica, 4 (2) (2017), 340-352. https://doi.org/10.1109/JAS.2016.7510160
• Machado, J. T. , Kiryakova, V., and Mainardi, F., Recent history of fractional calculus. Commun. Nonlinear Sci. Numer. Simul., 16 (3) (2011), 1140-1153. https://doi.org/10.1016/j.cnsns.2010.05.027
• Mainardi, F., An historical perspective on fractional calculus in linear viscoelasticity. Fract. Calc. Appl. Anal., 15 (4) (2012), 712-717. https://doi.org/10.2478/s13540-012-0048-6
• Miller, K. S., and Ross, B., An Introduction to Fractional Calculus and Fractional Differential Equations. Wiley Interscience, 1993.
• Riewe, F., Nonconservative Lagrangian and Hamiltonian mechanics. Phys. Rev. E, 53 (2) (1996), 1890-1899. https://doi.org/10.1103/PhysRevE.53.1890
• Riewe, F., Mechanics with fractional derivatives. Phys. Rev. E, 55 (3) (1997), 3581-3592. https://doi.org/10.1103/PhysRevE.55.3581
• Ross., B., A brief history and exposition of the fundamental theory of fractional calculus, pages 1-36. Springer Berlin Heidelberg, Berlin, Heidelberg, 1975.
• Weberszpil, J., and Helayel-Neto, J. A., Variational approach and deformed derivatives. Physica A, 450 (2016), 217-227. https://doi.org/10.1016/j.physa.2015.12.145
• Zhang, J., Ma, X., and Li, L., Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives. Adv. Differ. Equ., 357 (2017). https://doi.org/10.1186/s13662-017-1388-7