Author(s)

Hind H. G. Hashem¹, Aml A. Alhejelan²

¹Faculty of Science, Alexandria University, Alexandria, Egypt.
²Collage of Science, Qassim University, Buraidah, KSA.

In this paper, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contain various integral and functional equations that are considered in nonlinear analysis. Our considerations will be discussed in Banach algebra using a fixed point theorem instead of using the technique of measure of noncompactness. An important special case of that functional equation is Chandrasekhar’s integral equation which appears in radiative transfer, neutron transport and the kinetic theory of gases [1].

Nonlinear Operators, Banach Algebra, Chandrasekhar’s Integral Equations

Hashem, H. and Alhejelan, A. (2017) Solvability of Chandrasekhar’s Quadratic Integral Equations in Banach Algebra. Applied Mathematics, 8, 846-856. doi: 10.4236/am.2017.86066.