B-SPLINE SOLUTION OF BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER BASED ON OPTIMAL CONTROL STRATEGY

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AZIZI H.; LOGHMANI G.B.; HOOSHMAND ASL M.R.; DEHGHAN NEZHAD A.

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2012 | Volume:23 | Issue:1 Page(s): 59-65

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Information Journal Paper

Title

B-SPLINE SOLUTION OF BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER BASED ON OPTIMAL CONTROL STRATEGY

Author(s)

AZIZI H. | LOGHMANI G.B. | HOOSHMAND ASL M.R. | DEHGHAN NEZHAD A. | Issue Writer Certificate

Keywords

B-SPLINE FUNCTIONSQ2

FRACTIONAL DERIVATIVEQ2

FRACTIONAL INTEGRALQ2

OPTIMAL CONTROL PROBLEMQ2

BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDERQ2

Abstract

In this paper, BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER are converted into an OPTIMAL CONTROL PROBLEMs. Then an approximate solution is constructed from translations and dilations of a B-spline function such that the exact boundary conditions are satisfied. The fractional differential operators are taken in the Riemann-Liouville and Caputo sense. Several example are given and the optimal errors are obtained for the sake of comparison. The obtained results are shown that the technique introduced here is accurate and easy to apply.

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APA: Copy

AZIZI, H., LOGHMANI, G.B., HOOSHMAND ASL, M.R., & DEHGHAN NEZHAD, A.. (2012). B-SPLINE SOLUTION OF BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER BASED ON OPTIMAL CONTROL STRATEGY. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 23(1), 59-65. SID. https://sid.ir/paper/84125/en

Vancouver: Copy

AZIZI H., LOGHMANI G.B., HOOSHMAND ASL M.R., DEHGHAN NEZHAD A.. B-SPLINE SOLUTION OF BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER BASED ON OPTIMAL CONTROL STRATEGY. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2012;23(1):59-65. Available from: https://sid.ir/paper/84125/en

IEEE: Copy

H. AZIZI, G.B. LOGHMANI, M.R. HOOSHMAND ASL, and A. DEHGHAN NEZHAD, “B-SPLINE SOLUTION OF BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER BASED ON OPTIMAL CONTROL STRATEGY,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 23, no. 1, pp. 59–65, 2012, [Online]. Available: https://sid.ir/paper/84125/en

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