___

• [1] R. Hilfer, Applications of fractional Calculus in Physics, World scientific, Singapore, 1999.[2] K. Hilal, A. Kajouni, Boundary value problems for hybrid differential equations with fractional order, Advances in Difference Equations (2015), 2015:183.[3] K. Hilal, A. Kajouni, Existence of the Solution for System of Coupled Hybrid Differential Equations with Fractional Order and Nonlocal Conditions, International Journal of Differential Equations, (2016), 9 pages.[4] M. A. E. Herzallah, D. Baleanu, On Fractional Order Hybrid Differential Equations, Abstract and Applied Analysis, 2014, 7 pages.[5] A. A. Kilbas, H.M. Srivastava, J. J. Trujillo, Theory and applications of fractional differential equations, Amsterdam: Elsevier,2006.[6] U.N. Katugampola, New approach to a genaralized fractional integral, Applied Mathematics and Computation, 218 (3) (2011) 860-865. https://doi.org/10.1016/j.amc.2011.03.062[7] U.N. Katugampola, Existence and uniqueness results for a class of generalized fractional differential equations Bulletin of Mathematical Analysis and Applications, arXiv:1411.5229, v1 (2014). https://arxiv.org/abs/1411.5229.[8] U.N. Katugampola, New fractional integral unifying six existing fractional integrals, epint arxiv: 1612.08596, 6 pages.[9] D. Vivek, K. Kanagarajan, S. Harikrishnan, Existence and uniqueness results for pantograph equations with generalized fractional derivative, Journal of Nonlinear Analysis and Application, 2017,(Accepted article-ID 00370).[10] D. Vivek, K. Kanagarajan, S. Harikrishnan, Existence results for implicit differential equations with generalized fractional derivative, Journal of Nonlinear Analysis and Application, 2017,(Accepted article-ID 00371).[11] Y. Zhao, S. Sun, Z. Han, Q. Li, Theory of fractional hybrid differential equations, Computers and Mathematics with Applications, 62, (2011), 1312-1324.