Publication Date:
2014-12-11
Description:
In this paper, we introduce a new class of boundary value problems consisting of a fractional differential equation of Riemann-Liouville type, D q R L x ( t ) = f ( t , x ( t ) ) , t ∈ [ 0 , T ] , subject to the Hadamard fractional integral conditions x ( 0 ) = 0 , x ( T ) = ∑ i = 1 n α i H I p i x ( η i ) . Existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples illustrating the results obtained are also presented.MSC:34A08, 34B15.
Print ISSN:
1687-2762
Electronic ISSN:
1687-2770
Topics:
Mathematics
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