EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEM WITH NONLOCAL CONDITIONS

Kamlendra Kumar; Rakesh kumar

doi:10.31436/iiumej.v16i1.535

EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEM WITH NONLOCAL CONDITIONS

Authors

Kamlendra Kumar Shri Ram Murti College of Engg. & Tech., Bareilly
Rakesh kumar Hindu college , Moradabad

DOI:

https://doi.org/10.31436/iiumej.v16i1.535

Abstract

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.

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Author Biographies

Kamlendra Kumar, Shri Ram Murti College of Engg. & Tech., Bareilly

Faculty In-Charge & Assistant Prof. ,Department of Mathematics

Rakesh kumar, Hindu college , Moradabad

Associate Professor, Department of Mathematics, Hindu College, Moradabad

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Published

2015-05-26

How to Cite

Kumar, K., & kumar, R. (2015). EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEM WITH NONLOCAL CONDITIONS. IIUM Engineering Journal, 16(1). https://doi.org/10.31436/iiumej.v16i1.535