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We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis. With help of a suitable measure of noncompactness, we show that the functional integral equation of mixed type has solutions being… (More)

- Mohamed Abdalla Darwish
- Computers & Mathematics with Applications
- 2011

This paper deals with the hysteresis operator coupled to the system of Urysohn-Volterra equations. The local solutions of the system as well as the global solutions have been obtained.

We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in C[0, 1]. The famous Chandrasekhar's integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.

- W. G. El-Sayed, A. A. El-Bary, Mohamed Abdalla Darwish
- Applied Mathematics and Computation
- 2003

- Mohamed Abdalla Darwish
- Applied Mathematics and Computation
- 2003

- Mohamed Abdalla Darwish, Sotiris K. Ntouyas
- Computers & Mathematics with Applications
- 2010

- Mohamed Abdalla Darwish
- Applied Mathematics and Computation
- 2003

- Khalida Aissani, Mouffak BenchohraB, Mohamed Abdalla Darwish, Michal Fečkan, M. A. Darwish
- 2014

This paper concerns for controllability of fractional order integro-differential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the controllability of fractional order integro-differential inclusions is obtained based on Dhage fixed point theorem. An example is given to illustrate the existence result.

This paper presents the design and experimental implementation of a Fuzzy logic controller (FLC) for a DC servomotor speed and position control. The motivation to utilize the FLC is its robustness against model's parameters inaccuracy and uncertainty. The implementation of the FLC algorithm is carried out by a low cost 8-bit microcontroller instead of using… (More)