On the numerical solution of nonlinear fractional-integro differential equations

What is it about?

In the present study, a numerical method, perturbation-iteration algorithm (shortly PIA), has been employed to give approximate solutions of some nonlinear Fredholm and Volterra type fractional-integro differential equations (FIDEs). Comparing with the exact solution, the PIA produces reliable and accurate results for FIDEs.

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Why is it important?

Scientists has been interested in fractional order calculus as long as it has been in classical integer order analysis.However, for many years it could not find practical applications in physical sciences. Recently, fractional calculus has been used in applied mathematics, viscoelasticity , control , electrochemistry , electromagnetic . Developments in symbolic computation capabilities is one of the driving forces behind this rise. Different multidisciplinary problems can be handled with fractional derivatives and integrals.

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