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- Mohamed Abdalla Darwish
- Applied Mathematics and Computation
- 2003

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

- 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.

- Mohamed S A Darwish, Nhung H A Nguyen, Alena Ševců, Ivan Stibor, Stoyan K Smoukov
- Materials science & engineering. C, Materials for…
- 2016

Multifunctional nanoparticles for magnetic hyperthermia which simultaneously display antibacterial properties promise to decrease bacterial infections co-localized with cancers. Current methods synthesize such particles by multi-step procedures, and systematic comparisons of antibacterial properties between coatings, as well as measurements of specific… (More)

We present an existence theorem for integral equations of Urysohn-Volterra type involving fuzzy set valued mappings. A fixed point theorem due to Schauder is the main tool in our analysis. References [1] A. Arara and M. Benchohra, Fuzzy solutions for boundary value problems with integral boundary conditions, Acta Math.