On quadratic integral equation of fractional orders
By Prof. Dr. Mohamed Abdalla Darwish. 2005
131 citations recorded by the source corpus.
Abstract 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.
Subfields: Applied Mathematics, Mathematical Physics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/3ef0987c671e042d1969d4b7783a6502e457ccd3
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In Applied Mathematics
- Donal O'Regan
- J. Henderson
- Prof. Dr. Mohamed Abdalla Darwish
- Józef Banas
- Leszek Olszowy
- Jinrong Wang
- Ravi P. Agarwal
- Sotiris K. Ntouyas
In Mathematical Physics
In Modeling and Simulation
- Donal O'Regan
- J. Henderson
- Prof. Dr. Mohamed Abdalla Darwish
- Józef Banas
- Leszek Olszowy
- Yong Zhou
- Jinrong Wang
- Bashir Ahmad
Citations in the corpus
- On a Class of Measures of Noncompactness in Banach Algebras and Their Application to Nonlinear Integral Equations (2009, background): “Olszowy mathematical literature concerning mentioned equations is very extensive and includes both research papers [4, 10,13,15] and monographs [21,25,26].”
- EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A PERTURBED FRACTIONAL FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT (2011, background): “On the other hand, after the appearance of Darwish’s paper [15] there has been significant interest of the study of singular quadratic integral equations or fractional quadratic integral equations, see for example [8, 16, 17] and the references therein.”