The exact solutions of heat equation by RDTM for the fractional order

Thangavelu,; Padmasekaran, S.

doi:10.1063/5.0017176

Cited by 3 publications

(1 citation statement)

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“…They found the proposed scheme is reliable, efficient to handled fractional type Airy's type differential equations. Thangavelu and Padmasekaran [24] researched fractional-order partial differential equations with proportional delay, including modified Burger equations with proportional delay. Natural transform decomposition technique solutions are achieved in series form for both fractional and integer orders, demonstrating the proposed approach's increased convergence.…”

Section: Introductionmentioning

confidence: 99%

Reduce Differential Transform Method for Analytical Approximation of Fractional Delay Differential Equation

Naseem

2022

IJEMD-M

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The study of an entirely new class of differential equations known as delay differential equations or difference differential equations has resulted from the development and application of automatic control systems (DDEs). Time delays are virtually always present in any system that uses feedback control. Because it takes a finite amount of time to sense information and then react to it, a time delay is required. This exploration was carried out for the solution of fractional delay differential equations by using the reduced differential transform method. The results are presented in a series of form that leads to an exact answer. The proposed technique is found to be accurate and convergent. MAPLE 17 is used to illustrate the results graphically.

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Section: Introductionmentioning

confidence: 99%