Research Article | Open Access
Numerical methods for solving integro partial differential equation with fractional order
Mahmoud. M. Elborai , M. A. Abdou , W. El-Sayed , Sh. I. Awed
Pages: 1115-1132
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 αand time t.
Keywords
Adomian Decomposition Method; Integral equation; Partial differential equation.