Title of article :
EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEM WITH NONLOCAL CONDITIONS
Author/Authors :
Kumar, Kamalendra Shri Ram Murti Smarak College of Engineering Technology (SRMSCET) - Dept of Mathematics, India , Kumar, Rakesh Hindu College - Dept of Mathematics, India
Abstract :
In the present paper we prove the existence and uniqueness of local solutions of a nonlocal Cauchy problem for a class of fractional integrodifferential equation. The results are obtained by using the theory of resolvent operators, the fractional powers of operators, fixed point techniques, and the Gelfand-Shilov principle.
Keywords :
fractional integrodifferential equation , nonlocal conditions , fractional powers , mild and classical solutions , resolvent operators
Journal title :
IIUM Engineering Journal
Journal title :
IIUM Engineering Journal
