TY - JOUR AU - Khalil, Roshdi AU - Horani, Mohammed Al AU - Anderson, Douglas PY - 2016 TI - Undetermined coefficients for local fractional differential equations JO - Journal of Mathematics and Computer Science SP - 140--146 VL - 16 IS - 2 AB - We discuss the method of undetermined coefficients for fractional differential equations, where we use the (local) conformable fractional derivative presented in [R. Khalil, M. Al Horani, A. Yousef, M. Sababheh, J. Comput. Appl. Math., 264 (2014), 65--70]. The concept of fractional polynomials, fractional exponentials and fractional trigonometric functions is introduced. A method similar to the case of ordinary differential equations is established to find a particular solution for nonhomogenous linear fractional differential equations. Some other results are presented. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.016.02.02 DO - 10.22436/jmcs.016.02.02 ID - Khalil2016 ER - TY - JOUR TI - On conformable fractional calculus AU - T. Abdeljawad JO - J. Comput. Appl. Math. PY - 2015 DA - 2015// VL - 279 ID - Abdeljawad2015 ER - TY - JOUR TI - Conformable Fractional Semigroups of Operators AU - T. Abdeljawad AU - M. Al Horani AU - R. Khalil JO - J. Semigroup Theory Appl. PY - 2015 DA - 2015 // VL - 2015 ID - Abdeljawad2015 ER - TY - JOUR TI - Abel's formula and Wronskian for conformable fractional differential equations AU - M. Abu Hammad AU - R. Khalil JO - Int. J. Differential Equations Appl. PY - 2014 DA - 2014// VL - 13 ID - Hammad2014 ER - TY - JOUR TI - Existence of solution to a local fractional nonlinear differential equation AU - B. Bayour AU - D. F. M. Torres JO - J. Comput. Appl. Math. PY - 2016 DA - 2016// VL - 312 ID - Bayour2016 ER - TY - JOUR TI - A conformable fractional calculus on arbitrary time scales AU - N. Benkhettou AU - S. Hassani AU - D. F. M. Torres JO - J. King Saud Univ. PY - 2016 DA - 2016// VL - 28 ID - Benkhettou2016 ER - TY - JOUR TI - Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion AU - T. Caraballoa AU - M. Abdoul Diopb AU - A. A. Ndiayeb JO - J. Nonlinear Sci. Appl. PY - 2014 DA - 2014// VL - 7 ID - Caraballoa2014 ER - TY - BOOK TI - Existence and Uniqueness Theorems for Sequential Linear Conformable Fractional Differential Equations, AU - A. Gokdogan AU - E. Unal AU - E. Celik PB - PY - to appear in Miskolc Mathematical Notes. DA - to appear in Miskolc Mathematical Notes.// CY - ID - Gokdoganto appear in Miskolc Mathematical Notes. ER - TY - JOUR TI - Application of Schauder fixed point theorem to a coupled system of differential equations of fractional order AU - M. Hao AU - C. Zhai JO - J. Nonlinear Sci. Appl. PY - 2014 DA - 2014// VL - 7 ID - Hao2014 ER - TY - JOUR TI - A new Definition of Fractional Derivative AU - R. Khalil AU - M. Al Horani AU - A. Yousef AU - M. Sababheh JO - J. Comput. Appl. Math. PY - 2014 DA - 2014// VL - 264 ID - Khalil2014 ER - TY - BOOK TI - Theory and applications of fractional differential equations AU - A. Kilbas AU - H. Srivastava AU - J. Trujillo PB - Math. Studies. Northholland PY - 2006 DA - 2006// CY - NewYork ID - Kilbas2006 ER - TY - BOOK TI - An introduction to fractional calculus and fractional differential equations AU - K. S. Miller PB - J.Wiley and Sons PY - 1993 DA - 1993// CY - New York ID - Miller1993 ER - TY - JOUR TI - Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions AU - J. A. Nanware AU - D. B. Dhaigude JO - J. Nonlinear Sci. Appl. PY - 2014 DA - 2014// VL - 7 ID - Nanware2014 ER -