On a fractional integral equation of periodic functions involving Weyl-Riesz operator in Banach algebras |
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| Authors: | Shaher Momani Rabha W Ibrahim |
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| Institution: | a Department of Mathematics, Mutah University, PO Box 7, Al-Karak, Jordan
b PO Box 14526 Maeen Sana'a, Yemen |
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| Abstract: | 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, Carathéodory and monotonicity conditions. The fixed point theorems due to Dhage are the main tool in carrying out our proofs. |
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| Keywords: | Weyl-Riesz operators Fractional integral equation Periodic solutions Hammerstein type |
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