TY - JOUR AU - Horani, Mohammed AL AU - Hammad, Mamon Abu AU - Khalil, Roshdi PY - 2016 TI - Variation of parameters for local fractional nonhomogenous lineardifferential equations JO - Journal of Mathematics and Computer Science SP - 147-153 VL - 16 IS - 2 AB - In this paper we study the method of variation of parameters to find a particular solution of a nonhomogenous linear fractional differential equations. A formula similar to that for usual ordinary differential equations is obtained. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.016.02.03 DO - 10.22436/jmcs.016.02.03 ID - Horani2016 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 - 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. Sci. 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. A. Diopb AU - A. A. Ndiayeb JO - J. Nonlinear Sci. Appl. PY - 2014 DA - 2014// VL - 7 ID - Caraballoa2014 ER - TY - JOUR TI - Existence and uniqueness theorems for sequential linear conformable fractional differential equations AU - A. Gökdogan AU - E. Ünal AU - E. Çelik JO - PY - to appear in Miskolc Mathematical Notes. DA - to appear in Miskolc Mathematical Notes. // VL - ID - Gökdoganto appear in Miskolc Mathematical Notes. ER - TY - JOUR TI - Abel's formula and Wronskian for conformable fractional differential equations AU - M. A. Hammad AU - R. Khalil JO - Int. J. Differ. Equ. Appl. PY - 2014 DA - 2014// VL - 13 ID - Hammad2014 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. A. Kilbas AU - H. M. Srivastava AU - J. J. Trujillo PB - Elsevier Science B.V. PY - 2006 DA - 2006// CY - Amsterdam ID - Kilbas2006 ER - TY - BOOK TI - An introduction to fractional calculus and fractional differential equations AU - K. S. Miller AU - B. Ross PB - John 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 -