EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEM WITH NONLOCAL CONDITIONS | Zendy

Kamlendra Kumar | Zendy; R. Kumar | Zendy

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EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEM WITH NONLOCAL CONDITIONS

Author(s) -

Kamlendra Kumar,

R. 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

: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.

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