SOME EXISTENCE RESULTS FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR CONDITIONS

BASHIR AHMAD; S. SIVASUNDARAM

Title	SOME EXISTENCE RESULTS FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR CONDITIONS
Publication Type	Journal Article
Year of Publication	2008
Authors	AHMAD, BASHIR, SIVASUNDARAM, S
Volume	12
Issue	2
Start Page	107
Pagination	6
Date Published	2008
ISSN	1083-2564
AMS	34A12, 34A40, 34K05, 45J05
Abstract	This paper studies some existence and uniqueness results in a Banach space for a fractional integro-differential equation with nonlinear condition$${ \ ^c D^q x(t) = f(t, x(t)) + \int_{0}^{t} k(t, s, x(s))ds, t \in \ [0, T ], 0 < q < 1}$$, $${ \ x(0) = x_0 − g(x) }$$. The contraction mapping principle and Krasnoselskii’s fixed point theorem are employed to establish the results.
URL	http://www.acadsol.eu/en/articles/12/2/1.pdf
Refereed Designation	Refereed
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