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.