Generalized Differential Transform Method for Nonlinear Boundary Value Problem of Fractional Order

Antonina Pirrotta; Alberto Di Matteo; Antonina Pirrotta

Generalized Differential Transform Method for Nonlinear Boundary Value Problem of Fractional Order

Antonina Pirrotta, Alberto Di Matteo, Antonina Pirrotta

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Risultato della ricerca: Article › peer review

31 Citazioni (Scopus)

Abstract

In this paper the generalized differential transform method is applied to obtain an approximate solution of linear and nonlinear differential equation of fractional order with boundaryconditions. Several numerical examples are considered and comparisons with the existing solution techniques are reported. Results show that the method is effective, easier to implementand very accurate when applied for the solution of fractional boundary values problems.

Lingua originale	English
pagine (da-a)	88-101
Numero di pagine	14
Rivista	COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION
Volume	29
Stato di pubblicazione	Published - 2015

All Science Journal Classification (ASJC) codes

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abstract = "In this paper the generalized differential transform method is applied to obtain an approximate solution of linear and nonlinear differential equation of fractional order with boundaryconditions. Several numerical examples are considered and comparisons with the existing solution techniques are reported. Results show that the method is effective, easier to implementand very accurate when applied for the solution of fractional boundary values problems.",

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AU - Di Matteo, Alberto

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N2 - In this paper the generalized differential transform method is applied to obtain an approximate solution of linear and nonlinear differential equation of fractional order with boundaryconditions. Several numerical examples are considered and comparisons with the existing solution techniques are reported. Results show that the method is effective, easier to implementand very accurate when applied for the solution of fractional boundary values problems.

AB - In this paper the generalized differential transform method is applied to obtain an approximate solution of linear and nonlinear differential equation of fractional order with boundaryconditions. Several numerical examples are considered and comparisons with the existing solution techniques are reported. Results show that the method is effective, easier to implementand very accurate when applied for the solution of fractional boundary values problems.

UR - http://hdl.handle.net/10447/175432

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JO - COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION

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ER -

Generalized Differential Transform Method for Nonlinear Boundary Value Problem of Fractional Order

Abstract

All Science Journal Classification (ASJC) codes

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