NUMERICAL METHODS FOR SOLVING INTEGRO PARTIAL DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER

Mahmoud. M. Elborai

Department of Mathematics and computer sciences, Faculty of Science, Alexandria University

A. Abdou

Department of Mathematics, Faculty of Education, Alexandria University

El-Sayed

Department of Mathematics and computer sciences, Faculty of Science, Alexandria University

Sh. I. Awed

Department of Mathematics, Faculty of Education, Alexandria University

Abstract

 Some fractional order integro partial differential equations are investigated. Some initial value problems are considered using the Picard technique. Furthermore, the topic of stability is discussed. In addition, the Cauchy problem is transformed to a nonlinear algebraic system. Finally, numerical results are produced for different values of fractional order  and time .

Keywords: Adomian Decomposition Method; Integral equation; Partial differential equation.