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On a fractional integral equation of periodic functions involving Weyl-Riesz operator in Banach algebras
Journal article   Open access  Peer reviewed

On a fractional integral equation of periodic functions involving Weyl-Riesz operator in Banach algebras

Shatter Momani and Rabha W. Ibrahim
Journal of mathematical analysis and applications, Vol.339(2), pp.1210-1219
15/03/2008

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study the existence of periodic solutions for a nonlinear integral equation of periodic functions involving Weyl-Riesz fractional integral operator under the mixed generalized Lipschitz, Caratheodory and monotonicity conditions. The fixed point theorems due to Dhage are the main tool in carrying out our proofs. (C) 2007 Elsevier Inc. All fights reserved.
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https://doi.org/10.1016/j.jmaa.2007.08.001View
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