Natural Transform Decomposition Method for Solving Fractional-Order Partial Differential Equations with Proportional Delay

Rasool Shah, Hassan Khan, Poom Kumam, Muhammad Arif, Dumitru Baleanu
2019 Mathematics  
In the present article, fractional-order partial differential equations with proportional delay, including generalized Burger equations with proportional delay are solved by using Natural transform decomposition method. Natural transform decomposition method solutions for both fractional and integer orders are obtained in series form, showing higher convergence of the proposed method. Illustrative examples are considered to confirm the validity of the present method. Therefore, Natural
more » ... decomposition method is considered to be one of the best analytical technique, to solve fractional-order linear and non-linear Partial deferential equations particularly fractional-order partial differential equations with proportional delay.
doi:10.3390/math7060532 fatcat:xefkkhanabcehm333lz6pphhyy