On quadratic integral equation of fractional orders

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:311

Article

Darwish, MA

关键词: quadratic integral equation;    monotonic solutions;    fractional orders;    measure of noncompactness;    Darbo's fixed point theorem;   

DOI  :  10.1016/j.jmaa.2005.02.012

来源: Elsevier

【 摘 要 】

We present an existence theorem for a nonlinear quadratic integral equations of fractional orders, arising in the queuing theory and biology, in the Banach space of real functions defined and continuous on a bounded and closed interval. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tool in carrying out our proof. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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