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Fractional variational iteration method for fractional initial-boundary value problems arising in the application of nonlinear science. (English) Zbl 1231.35288
Summary: We suggest a fractional functional for the variational iteration method to solve the linear and nonlinear fractional order partial differential equations with fractional order initial and boundary conditions by using the modified Riemann-Liouville fractional derivative proposed by G. Jumarie [Appl. Math. Lett. 22, No. 3, 378–385 (2009; Zbl 1171.26305)]. A fractional order Lagrange multiplier is considered. The solution is plotted for different values of $$\alpha$$.

##### MSC:
 35R11 Fractional partial differential equations 35K15 Initial value problems for second-order parabolic equations 35L15 Initial value problems for second-order hyperbolic equations 35L20 Initial-boundary value problems for second-order hyperbolic equations 45K05 Integro-partial differential equations 65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
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