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

Rasool Shah, Hassan Khan, Poom Kumam, Muhammad Arif and Dumitru Baleanu
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Rasool Shah: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
Hassan Khan: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
Poom Kumam: Center of Excellence in Theoretical and Computational Science (TaCS-CoE) & Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand
Muhammad Arif: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
Dumitru Baleanu: Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey

Mathematics, 2019, vol. 7, issue 6, 1-14

Abstract: 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 transform 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.

Keywords: natural transform decomposition method; fractional-order burger equations and partial differential equations with proportional delay; caputo operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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