In this paper we study the existence of solution of a nonlinear integral equation of (mixed type) Volterra-Fredholm type. As an application we prove the existence of solution of an initial value problem of fractional order in the space of Lebesgue integrable functions on the interval .
In this paper we calculate the 3-modular character table of the twisted Chevalley group 2D4(2) and its automorphism group 2D4(2).2. The Meat-Axe package for calculating modular characters over finite fields (Ryba (1990)) was used to calculate most of the characters. The method of condensation, which was explained in Suleiman (1990) was used to determine the complete character table. All these methods are explained later in this paper.
In this paper we calculate the 2-modular character table of the twisted Chevalley group 2D4(2) using computer techniques available in an algebra package called Meat-Axe. This package is now available in Mu'tah University as well as other universities such as Birmingham University in the UK and Aachen University in Germany. The determination of this character table will be a contribution to modular calculations of various simple groups.
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