Open AccessEXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEM WITH NONLOCAL CONDITIONS
Author(s) -
Kamalendra Kumar,
Ranjeet Kumar
Publication year - 2015
Publication title -
iium engineering journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.141
H-Index - 6
eISSN - 2289-7860
pISSN - 1511-788X
DOI - 10.31436/iiumej.v16i1.535
Subject(s) - uniqueness , resolvent , mathematics , class (philosophy) , mathematical analysis , point (geometry) , fractional calculus , cauchy distribution , pure mathematics , computer science , geometry , artificial intelligence
ABSTRACT :Â 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.