Integral Equations and Integro-Partial Differential Equations: On Some Problems of Integral Equations and Integro-Partial Differential Equations with Fractional Orders

The theory of integral equations has a close contact with many different areas of mathematics. This is sufficient to say that there is almost no area of applied sciences and physics where integral equations do not play an important role. This books intended primarily to study the existence of solution , analytically and numerically, of nonlinear integral equations of the second kind of types Hammerstein, Hammerstein- Volterra and Volterra-Hammerstein. Also, it is used for proving the existence and uniqueness solution, analytically, of linear integro-differential and integral equations of type Fredholm-Volterra in three dimensional. Finally, it is very useful in establishing the existence and uniqueness solution of linear and nonlinear partial differential equations of fractional order, analytically and numerically.

Maha El-Kojok;I was born in Gaza in 1955, and get my primary studies there and in Cairo. I got Master degree in pure Mathematics in 1980 from Ein Shams University, Egypt.In 2008 I got a doctoral degree in pure Mathematics from Alexadria University, Egypt. From 2011 until now I am an assistant professor in Al-Qassim University, K.S.A .