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FRACTIONAL POLYNOMIAL METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

S. RAJA BALACHANDAR|S.G. VENKATESH|K. KRISHNAVENI
장전수학회 (Jangjeon Mathematical Society)|2016.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제19권 제1호|pp. 57-66|DOI 10.17777/pjms.2016.19.1.007

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참고문헌

키워드

Caputo fractional derivativeError boundApproximate solutionsFractional shifted Legendre polynomialsFractional integro-differential equationsConver- gence analysis
주제분류수학

초록

This paper presents an efficient fractional shifted Legendre polyno- mial method to solve the fractional integro-differential equations. The fractional derivatives are described based on the Caputo sense by using Riemann-Liouville fractional integral operator. The theoretical analysis such as convergence anal- ysis and error bound for the proposed technique has been demonstrated. Some numerical examples are provided to show that this method is computationally efficient. Finally, the obtained results reveal that the proposed technique is very convenient and quite accurate to solve fractional integro-differential equations.

Abstract

This paper presents an efficient fractional shifted Legendre polyno- mial method to solve the fractional integro-differential equations. The fractional derivatives are described based on the Caputo sense by using Riemann-Liouville fractional integral operator. The theoretical analysis such as convergence anal- ysis and error bound for the proposed technique has been demonstrated. Some numerical examples are provided to show that this method is computationally efficient. Finally, the obtained results reveal that the proposed technique is very convenient and quite accurate to solve fractional integro-differential equations.

참고문헌 (29)

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