Numerical methods for solving integro partial differential equation with fractional order

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Mahmoud. M. Elborai, M. A. Abdou , W. El-Sayed , Sh. I. Awed

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 .

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