Title of article :
Existence and uniqueness of holomorphic solutions for fractional Cauchy problem
Author/Authors :
Ibrahim، نويسنده , , Rabha W. Ibrahim، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2011
Abstract :
By employing majorant functions, the existence and uniqueness of holomorphic solutions to nonlinear fractional partial differential equations (the Cauchy problems) are introduced. Furthermore, the analytic continuation of solutions is studied.
Keywords :
Majorant function , Fractional Cauchy problem in complex domain , Holomorphic solution , Riemann–Liouville operators , fractional calculus , Fractional differential operator , Fractional integral operator
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications